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Let f = -0.489 + n. Which is the nearest to -0.1? (a) i (b) -2/17 (c) f b Let j = -3560 - -3558. Which is the closest to 10? (a) -0.1 (b) -4 (c) j a Suppose -95*u - 34 = -129. Let n = 14 - 6. Let d = 4.3 - 4. What is the closest to 0.1 in d, n, u? d Let h = 22.4 + -22.8. Let j = -338/3 + 113. Let v = -2.05 + 2. What is the closest to 0.1 in j, h, v? v Let r = 1831 + -1830.7. Which is the closest to -2/9? (a) r (b) -8 (c) -0.1 c Let i = -100.83 - 0.17. Let q = i + 90.9. Let j = q - -10.5. Which is the closest to 0? (a) -1 (b) 0.1 (c) j b Let y = 2451 - 2448. Which is the closest to -277? (a) -4 (b) -5 (c) y (d) -3/7 b Let q = -1 - -1.2. Let x = -184647549/452 - -408512. Let r = x + 3/113. What is the nearest to -1/4 in 5/2, q, r? r Let k be 1 - -3 - 0/(2/(-2)). Suppose k*z - z + z = 0. What is the closest to 5 in z, 0.05, -2/13? 0.05 Let j = -507.9865 - -508. Let y = j - -0.3865. Suppose -4 = -3*t - t + 4*v, -2 = -2*t - 2*v. Which is the nearest to t? (a) 4 (b) y (c) -1/2 b Let n = 8312 - 8336. What is the closest to n in 0.5, -1/4, -15, 3/2? -15 Let u = -821 + 868. What is the closest to u in 2, -4/5, -16? 2 Let d = -54.31 + 56.01. What is the closest to -0.1 in d, 2, 1/2, -32? 1/2 Let o = 82 - 413/5. Suppose -m = -4*u + 1, -4*u - 16*m = -15*m - 7. Let f be (-196)/(-882)*((-1)/(-2) + u). What is the nearest to 0.4 in 4, o, f? f Let i(g) = 33*g - 694. Let u be i(21). What is the nearest to -0.1 in u, 11.5, -3/4, -2/7? -2/7 Let g = 6638 - 46468/7. What is the nearest to g in -5, 4, -25, -1? -1 Let f be (-1)/((-3)/(-4 + 1)). Which is the nearest to f? (a) -5 (b) 0.4 (c) 39 (d) 1 b Let w be -5 + 3 + 12/5. Let d = 0.03 + 0.27. Let v = -9588 + 67115/7. Which is the closest to 0.1? (a) w (b) v (c) d c Suppose -5*l - 31 = -4*v, -14 = 2*l - v - v. Suppose -7*q = -18 + 4. Suppose -36*z - q = -37*z. Which is the closest to 1/2? (a) l (b) -5 (c) z c Let p = 53 - 53. Suppose p = 15*t - 32 - 28. Let y = -26 - -53/2. Which is the closest to -1? (a) t (b) y (c) -1 c Suppose 6*k - k - 5*c = 55, 3*k = -c + 13. Let t = 125568 - 125572. What is the closest to k in 0.2, t, -3? 0.2 Let d(a) be the third derivative of a**5/60 - 7*a**4/24 - 5*a**3/3 + 3*a**2. Let l be d(8). What is the nearest to -0.1 in -4, -14, l? l Let s = 0.3 - 0.34. Let y = -147872/9 + 16430. What is the nearest to y in -0.4, -0.2, s? -0.2 Let o = 11/9 + -86/63. Let p be (54/15 + -4)/(854/(-610)). Which is the nearest to p? (a) o (b) -2 (c) 0 c Let g = -1822/3 - -9113/15. Which is the nearest to 2? (a) -5 (b) -3 (c) g (d) -0.1 c Let m = -576 + 1151/2. What is the closest to m in 1/2, -16, 0.2? 0.2 Let s = -3.22 + 3.22. Let w be -1 - (-1)/((-10)/(-12)). Let x be ((-16)/48)/((-2)/2). Which is the closest to w? (a) s (b) x (c) 0.3 c Let m(b) = b + 3. Suppose 0 = 4*r + 4 + 48. Let d be m(r). Let s be ((-9)/45)/((-6)/d). What is the closest to -1 in -0.2, -2/7, s? s Let i = -5.37 + 5.27. Let m = 0.03 + -0.73. Let f = 1.1 + m. What is the closest to -2/9 in -0.5, f, i? i Let x = 214.43 + -220.43. What is the closest to 0.2 in -30, -0.2, x, -3? -0.2 Let o = 2086 - 2086. Which is the nearest to o? (a) 1/4 (b) 3/4 (c) 67 a Let x = 12.61 - 11.7. Let k = x - 0.81. Which is the closest to k? (a) -2 (b) 2 (c) 0.04 c Let p = 0.7 + -3.7. Let r = 1.22206 - 0.22206. What is the closest to r in p, 0.2, -1? 0.2 Let t = -556 - -561. Let r = 40.9 + -38.9. Which is the closest to -2/5? (a) t (b) 4 (c) r (d) 20 c Let o(i) = 3*i + 73. Let a be o(-23). Let h = -7.95 + 7.9. What is the closest to 1/4 in -0.4, h, a? h Let i = -4.28 - -0.28. Let j = 110.5 - 110. What is the closest to j in -2/7, -1, i? -2/7 Let n = 179.2 - 91.5. Let h = -88 + n. Let j = -9 - -9.3. Which is the closest to j? (a) -5 (b) h (c) -0.4 b Let p = -10603.6 + 10604. Which is the nearest to 0? (a) -2 (b) -84/13 (c) p c Let z be -5*(-192)/(-504) - (-2)/3*2. Let d = -125/4 + 31. What is the closest to -2/3 in d, z, -2/3, -2? -2/3 Let a = 1/24 - -5/8. Let y = -80167 + 80175. What is the closest to a in y, -1/2, 5, 2? -1/2 Let l = 27/346 - 8/1211. Which is the closest to -1? (a) -1/8 (b) -0.005 (c) 0.3 (d) l a Let t be 12/(-252)*-12 - (-3825)/7. Let j = -543 + t. Which is the closest to -2? (a) 0.1 (b) -0.2 (c) 0 (d) j b Let i = 4 + -6. Let f = 452178 - 452181. Which is the closest to -0.1? (a) f (b) i (c) -2/17 (d) 1 c Let o = -7905 - -7904.5. What is the closest to 2 in o, -179, 5? o Let c = -3.71 + 4.21. What is the closest to 0.1 in -663, -0.2, c? -0.2 Let p(x) = -2*x**3 - 13*x**2 + 3*x - 14. Let g be p(-6). Let j = 65 + g. Which is the nearest to 7? (a) j (b) 1/4 (c) 5 c Let d = 4802 + -4800. What is the closest to d in -4, 0.16, 4? 0.16 Let i = 0.0233 - -5.4467. Let m = i + -2.47. Which is the closest to 0.5? (a) m (b) 5/4 (c) 4/9 c Let w be (6/14 + (-561)/231)*(-1 - -2). What is the nearest to 2 in -5/4, w, -19, -0.5? -0.5 Let i(n) = n**3 + 4*n**2 + 4*n + 2. Let t be i(-2). Let s = 115 - 139. Let q = s - -19. What is the nearest to 1 in -2, t, q? t Let p(l) = l**2 - 12*l - 27. Let i be p(14). Suppose -4*u - s = 44, -3*u - 50 = -2*s + 7*s. Let g be (14/u + 2)/1. What is the nearest to i in g, -1, -0.5? g Let t be (12*(-4)/(-36))/((-2)/3). Let g = -3.6 - -3.3. Which is the nearest to -0.2? (a) 0.4 (b) g (c) t b Let v = 1293 - 1293.1. What is the closest to 1 in v, 7, -3/4? v Suppose 1 = 2*s + n, -4*s - 4 - 3 = 5*n. Let y be (24/(-306))/(s/3). Let w = 25 - 21. Which is the nearest to 1? (a) y (b) 3 (c) w a Let c = -6.06 + 6. Let n = 1480.14 - 1480.34. Let t be 3/((-2 - 0)/2). What is the closest to n in t, c, 2/3? c Let v = -0.271 - -247.271. Let l = -244 + v. Suppose 6*t = 5*t - 2. Which is the nearest to t? (a) 0.5 (b) l (c) 1 a Let h = -71.927 + 72. Let y = 1.927 + h. Let s = 101/2 + -49. What is the nearest to y in -3, -0.1, s? s Let v = 1412 - 1402. What is the nearest to 4 in -3, 4, v, 0.06? 4 Let n = 2.376 - 149.076. Let k = n + 143.7. Suppose 4*x = -5*u + 16, -2*u + 4 = -4. Which is the closest to -2/5? (a) 3/4 (b) x (c) k b Let m be ((-1)/(-14) - 0)*-4. Let q be 65/(-4) - 1/(-4). Let v = -5501/21236 - -48/5309. Which is the closest to -1? (a) m (b) v (c) q a Let k = -1832 + 1833. What is the closest to 0 in k, -7/2, 0.05, 1/2? 0.05 Let x = 5332 - 5331.6. What is the closest to 65 in -2/3, x, 2? 2 Let r = -0.0244 - -0.0244. Let c(t) = -3*t - 25. Let z be c(-10). Let k be (-7)/6 + z/10. What is the nearest to -1 in r, 2, k? k Let q = 533/3437 - 6/491. What is the nearest to -32 in -0.3, 4, -2/5, q? -2/5 Suppose 7*y - 10*y = 57. Let h be (-2)/(-9)*y - (-27 - -23). What is the nearest to -0.5 in 4, h, 2/15? h Let t(k) = k**2 - 13*k - 16. Let q be t(14). Let f = 199 + -200. Which is the nearest to f? (a) q (b) -4 (c) -0.4 (d) 4 c Let l = 1.6377 - 2.7377. What is the closest to -7 in -4, l, -2, 4? -4 Let g = 1271.432 - 1274.432. Let l = 1/39 - -71/273. What is the nearest to 0 in l, 10, g? l Let r = -0.917 - 41.983. Let h = 43.3 + r. What is the nearest to -1/3 in h, -1/3, 32, -4? -1/3 Let v = 6.371 - -0.029. Let z = 4 + 2.5. Let r = z - v. What is the nearest to -1/5 in r, 3, -0.3? -0.3 Let c = -58 + 119. Let q = -60.6 + c. Suppose 0*g - 13 = -4*g - 5*j, -26 = 2*g - 4*j. What is the nearest to 1/2 in q, g, 0.3? q Let g be ((-1014)/42)/(-34 - -1). Let k = g - 7/11. Which is the closest to 1/3? (a) 4 (b) k (c) -1/4 b Let k = 31364.92 + -31365. Let m = 1 + -0.5. What is the closest to -0.1 in k, -1, m, -0.5? k Let a = 30 + -29.958. Let n = -0.013 + a. Let i = -0.129 + n. What is the nearest to i in -2/9, 2, -1? -2/9 Suppose 0*b + b = 2*d + 5, -4*b = 5*d - 20. Let p be 4/6*(-242)/726. What is the nearest to d in 0.2, 5, p? 0.2 Let x = 5452 + -5451.7. What is the closest to 3 in x, 3, -26, -1? 3 Let o = 0.123 - -7.677. Let t = o - 8.8. Which is the closest to t? (a) -12 (b) -4 (c) 0.05 c Let s be 94/(-88) - (10 + (-972)/99). Let l = 1 + 2. Let f = l - 3.1. What is the closest to f in -3, -4, s? s Let n = 195.7 - 196. Let w = 60 + -419/7. Let d = -2 - 2. Which is the nearest to -1/2? (a) n (b) d (c) w a Let u(r) = 7 - 95*r + 3*r**2 + 42*r + 45*r - 2*r**2. Let y be 1 - -3 - (-10)/5. Let n be u(y). Which is the closest to 0? (a) -3 (b) -4 (c)
{ "pile_set_name": "DM Mathematics" }
et k = 508 + -506. Suppose -k*l - 3*l + 13 = 3*w, -25 = -5*l. Let u(z) = -z**2 - 5*z - 4. What is w*t(i) + 3*u(i)? -3*i**2 + i Let m(t) = -t**2 - 99*t - 1. Let a(i) = -3*i**2 - 337*i - 4. Determine -2*a(h) + 7*m(h). -h**2 - 19*h + 1 Let s(y) = -21*y - 13. Let w be 1881/27 + 1/3. Let j = w - 66. Suppose -5*p = 4*k + 69, j*k - 3*p - p + 24 = 0. Let v(h) = 11*h + 7. Determine k*v(i) - 6*s(i). 5*i + 1 Let t(h) = 3*h - 23. Let n(b) = b - 8. Let f be -2 + 4 - 12/24*(-3 + -1). Determine f*t(w) - 11*n(w). w - 4 Let h(w) = -23*w**3 - 185*w**2 - 8*w + 1. Let y be h(-8). Let r(c) = -c**3 + c**2 + c + 1. Let s(d) = 3*d**3 - 4*d**2 - 4*d - 34. Determine y*s(u) + 4*r(u). -u**3 - 30 Let t(o) = -3*o**2 - 368*o + 14. Let i(f) = -f**2 - 183*f + 6. Calculate 7*i(q) - 3*t(q). 2*q**2 - 177*q Let u(q) = -5*q + 59. Let d(v) = -5*v + 65. What is -3*d(r) + 4*u(r)? -5*r + 41 Suppose 30 = 3*g + v, 1 = -2*g - v + 20. Let f(p) = 16*p**3 + 11*p**2 - 35*p + 11. Let j(y) = 3*y**3 + 2*y**2 - 7*y + 2. Determine g*j(d) - 2*f(d). d**3 - 7*d Let t(u) = -9*u**2 - 10*u - 11. Let h(j) = -13*j**2 - 9*j - 14. Determine -2*h(r) + 3*t(r). -r**2 - 12*r - 5 Let m(y) = -4*y**3 + y**2 + 3*y - 8. Let u(a) = -353*a**2 - 37 + 6*a - 9*a**3 + 44 - 24 + 355*a**2. Give -13*m(t) + 6*u(t). -2*t**3 - t**2 - 3*t + 2 Let n(d) = -10*d - 7. Let k(y) = -y - 1. Suppose -2*v - 5*g + 379 = 0, -15*g + 17*g - 10 = 0. Let b = 183 - v. Calculate b*k(s) - n(s). 4*s + 1 Suppose 4 + 6 = -2*x. Let d(t) be the first derivative of -73 - 5/2*t**2 + 11*t + 2/3*t**3. Let r(p) = p**2 - 2*p + 5. Calculate x*r(w) + 2*d(w). -w**2 - 3 Let t(p) = 4*p**3 - 2*p**2 - 47. Let c(y) = -123*y + 8854. Let q be c(72). Let o(g) = 21*g**3 - 11*g**2 - 235. What is q*o(k) + 11*t(k)? 2*k**3 - 47 Let f(q) = -110*q. Let o(x) = -x. Let a(u) = -2*u**2 - 54*u - 602. Let g be a(-12). Give g*o(t) + 2*f(t). 22*t Let k(f) = 393*f**3 - 17*f**2 - 3*f - 16. Let c(i) = -395*i**3 + 22*i**2 + 4*i + 21. What is -3*c(m) - 4*k(m)? -387*m**3 + 2*m**2 + 1 Let t(j) = -3*j + 4. Let h = 378 + -377. Let x(p) = 4*p + 2. Let z(v) = 3*v + 1. Let w(c) = 2*x(c) - 3*z(c). Give h*t(r) - 5*w(r). 2*r - 1 Let o(h) = 24*h**2 + 16*h - 56. Let j(y) = -37*y**2 - 24*y + 79. Let l(q) = 5*j(q) + 7*o(q). Let g(a) = 6*a**2 + 3*a - 1. Calculate 11*g(b) + 4*l(b). -2*b**2 + b + 1 Let i(c) = -c**2 - c - 3. Let v(n) = -3*n**2 + 140. What is i(h) - v(h)? 2*h**2 - h - 143 Let y(p) = -71*p + 2. Let b be (-3)/(-15)*(-2625)/(-75). Let x(l) = -106*l + 3. Determine b*y(d) - 5*x(d). 33*d - 1 Let k(a) = 2066*a**3 - 10*a**2 + 25*a - 20. Let d(u) = 1377*u**3 - 7*u**2 + 17*u - 14. Calculate -10*d(y) + 7*k(y). 692*y**3 + 5*y Let t(y) = -13*y**2 - 23*y**2 + 9*y - 9*y**2 + 98*y**2 + 9 - 8*y**2. Let p(w) = 11*w**2 + 2*w + 2. Determine 9*p(f) - 2*t(f). 9*f**2 Let p(a) = -a**3 + 4*a**2 + 8. Let h(m) = -m**3 + 3*m**2 + 8. Suppose -3*d - 5*f + 22 = 0, -1 = 3*d - f - 11. Calculate d*h(b) - 3*p(b). -b**3 + 8 Let r(j) = 12*j**3 + 16*j**2 + 56*j + 38. Let q(n) = -17*n**3 - 23*n**2 - 85*n - 56. Give 5*q(c) + 7*r(c). -c**3 - 3*c**2 - 33*c - 14 Let q(z) = -11*z**2 - 25*z + 6. Let c(l) = 45*l**2 + 107*l - 24. What is -2*c(h) - 9*q(h)? 9*h**2 + 11*h - 6 Let n(z) be the first derivative of -z**4/4 - 29*z**3/3 - 3*z**2 + 6*z - 1982. Let r(a) = 2*a**3 + 59*a**2 + 11*a - 11. What is 11*n(s) + 6*r(s)? s**3 + 35*s**2 Let i = 8371 + -8379. Let h(v) = 42*v. Let w(j) = -14*j. What is i*w(p) - 3*h(p)? -14*p Let a(i) = i - 1. Let y(t) be the second derivative of -54*t + t**3 + 0 + 1/2*t**2. Calculate -5*a(z) + y(z). z + 6 Let j(b) = b + 1. Let s be -868*((-25)/(-10) + -2 - 1). Let i = 432 - s. Let v(o) = -2. Calculate i*v(a) - 4*j(a). -4*a Let t(n) = -2*n**2 + 40*n - 7. Let w(m) = -5*m**2 + 78*m - 15. Determine -13*t(o) + 6*w(o). -4*o**2 - 52*o + 1 Suppose -8 = 11*r + 10*r - 17*r. Let q(i) = 3. Let k(w) = w + 6. Let m be k(-12). Let u(j) = j - 1. Calculate m*u(h) + r*q(h). -6*h Let v(z) = 2388*z**2 + z + 20. Let s(u) = -3*u**2 + 4. Give 5*s(o) - v(o). -2403*o**2 - o Let c = -1669 + 1668. Let d(w) = -10*w + 1 + 22*w - 11*w. Let l(i) = -10*i - 6. Give c*l(v) - 8*d(v). 2*v - 2 Let m(t) = 513*t**3 + 81*t**2 - 81*t - 81. Let d(p) = 22*p**3 + 50. Let r(x) = -2*x**3 - x**2 + x + 11. Let l(j) = d(j) - 5*r(j). What is -81*l(i) + 5*m(i)? -27*i**3 Let v(z) = -z**2 - z - 55. Let p(l) = -2*l**2 - 2*l - 56. Determine 3*p(k) - 4*v(k). -2*k**2 - 2*k + 52 Let o(k) = -2*k**3 - 4*k**2 - 3*k - 44. Let u(p) = 5*p**3 + 12*p**2 + 9*p + 142. Calculate 13*o(t) + 4*u(t). -6*t**3 - 4*t**2 - 3*t - 4 Let b(c) be the first derivative of -c**3/3 - c**2/2 + 6405. Let y(m) = 6*m**2 - 1. Give 10*b(n) + 2*y(n). 2*n**2 - 10*n - 2 Let n(l) = 2*l**2 - l - 5. Suppose -111*u + 8 = -47*u - 66*u. Let v(q) = q**2 - 4. Determine u*v(x) + 3*n(x). 2*x**2 - 3*x + 1 Let n(m) = -6*m - 19416*m**2 + 19412*m**2 + 1 - 10. Let x(a) = -4*a**2 - 5*a - 8. What is -6*n(l) + 7*x(l)? -4*l**2 + l - 2 Let c(t) = -t + 1. Let b be 0 + (4 - 12 - -37). Let j(s) = -s**3 + 28*s**2 + 28*s + 26. Let m be j(b). Let k(u) = -7*u**3 + 3*u - 3. Determine m*c(i) - k(i). 7*i**3 Let q be 4/26 - ((-24)/18)/((-2184)/5166). Let o(c) = -5*c**3 - 2. Let n(l) = 4*l**3 + l + 1. Give q*n(j) - 2*o(j). -2*j**3 - 3*j + 1 Let q(h) = -281*h - 3654. Let k be q(-13). Let v(m) = -15*m**2 + 2. Let s(p) = p**2 - p. Calculate k*v(i) - 2*s(i). 13*i**2 + 2*i - 2 Let k(g) = 6*g**3 - 6*g - 5. Let m(p) = 6*p**3 - 7*p - 4. Give -7*k(i) + 6*m(i). -6*i**3 + 11 Let x(g) = 5*g**3 - 71*g**2 - 28*g - 43. Let i(o) = 2*o**3 - 26*o**2 - 9*o - 15. Calculate 11*i(l) - 4*x(l). 2*l**3 - 2*l**2 + 13*l + 7 Let k be ((-374)/(-102))/((-2)/6). Let s(y) = 5*y**3 + 2*y**2 + 2. Let l(p) = 26*p**3 + 11*p**2 + 11. Let i = -15 - -17. Calculate i*l(u) + k*s(u). -3*u**3 Let y(z) = 51*z**3 + 11*z**2 - 26*z + 11. Let s(t) = -10*t**3 - 2*t**2 + 5*t - 2. Suppose 36 = -3*h - 5*j, 5*h - 99*j = -95*j + 14. Determine h*y(r) - 11*s(r). 8*r**3 - 3*r Let o(h) = -4*h**3 + 168. Let k(q) = -8*q**3 - q**2 + q + 419. Let s(r) = -2*k(r) + 5*o(r). Let m(l) = -9*l**3 + 4*l**2 - 4*l + 4. Calculate -2*m(b) + 5*s(b). -2*b**3 + 2*b**2 - 2*b + 2 Let y(f) = -76*f**2 + 5*f + 4. Let u(l) = 39*l**2 - 2*l - 2. Give -5*u(r) - 2*y(r). -43*r**2 + 2 Let k(z) = -162*z - 7. Let f(g) = -653*g - 33. Determine 2*f(h) - 9*k(h). 152*h - 3 Let l(c) = 4*c - 12. Let a(f) = 430*f - 17. Let q(y) = 501*y - 18. Let n(o) = -7*a(o) + 6*q(o). Give -2*l(w) - 3*n(w). 4*w - 9 Let s(o) = 576*o**2 - 16*o - 70. Let y(q) = -768*q**2 + 22*q + 95. What is -11*s(x) - 8*y(x)? -192*x**2 + 10 Let n(a) be the first derivative of 3*a**2 + 6*a - 59. Let u(k) = 25*k + 24. What is -9*n(z) + 2*u(z)? -4*z - 6 Suppose 0 = 101*b - 25*b + 371 + 9. Let o(z) be the first derivative of z**2 + 6*z - 2. Let g(v) = -v - 1. Calculate b*g(q) - o(q). 3*q - 1 Let i(m) = 94*m + 32. Let j(y) = -92*y - 38. Calculate -6*i(x) - 5*j(x). -104*x - 2 Let t(y) be the second derivative of 5/2*y**2 - 18*y + 0 - 1/6*y**4 + 0*y**3. Let l(z) be the first derivative of 3*z**3 - 21*z + 8. What is -5*l(q) - 21*t(q)? -3*q**2 Let a(x) = -4*x**2 + 6*x + 38. Let f(r) = -r**3 + 2*r**2 + 229*r - 459. Let u be f(2). Let l(p) = p**2 - p - 1. Determine u*a(v) - 6*l(v). -2*v**2 - 32 Let m(b) be the second derivative of b**4/4 - 3*b**2/2 + b. Let n(c) = -c**2 + 1. Let x(r) = -1544*r - 6170. Let j be x(-4). Calculate j*n(i) + m(i). -3*i**2 + 3 Let x(w) = -102*w**2 + 60*w + 51. Let j(z) = -29*z**2 + 17*z + 14. Give -18*j(u) + 5*x(u). 12*u**2 - 6*u + 3 Let y(k) be the second derivative of k**5/20 + k**4/12 + k**3/2 - k. Let f = 17883 - 17884. Let x(z) = z**2. Calculate f*y(j) + x(j). -j**3 - 3*j Let r(w) = -9*w**2 + 2*w - 6. Let l(o) = o**3 + 73*o**2 - 16*o + 50. Give 2*l(p) + 17*r(p). 2*p**3 - 7*p**2 + 2*p - 2 Suppose -2*y + 2 = -6. Suppose -5*l + y*l - 2 = 0. Let x(w) = -w + 1. Let h(k) = -3*k + 3. Let p be ((-4)/(-6))/((-4)/(-6)). Determine l*x(r) + p*h(r). -r + 1 Let m(j) = -3714*j**2 - 189*j + 21. Let v(d) = 743*d**2 + 36*d - 4. Give -4*m(g) - 21*v(g). -747*g**2 Let z(m) = -2*m**2 + m - 7. Let o(y) = 586*y**2 + 7*y - 42. What is o(f) - 6*z(f)? 598*f**2 + f Let g(b) = -172*b - 17. Let c(y) = -88*y - 7. What is 10*c(t) - 4*g(t)? -192*t - 2 Let n be 128/576 - (-13)/(-18) - (-6)/4. Let d(f) = -5*f + 1. Let b(g) be the third derivative of g**4/24 - 5*g**2. Give
{ "pile_set_name": "DM Mathematics" }
what is -3de4f - 73c? -3e58b In base 15, what is -628b3d9 + -1? -628b3da In base 15, what is 273 - -c2d4? c557 In base 3, what is -20 + 1010211020022011? 1010211020021221 In base 15, what is 3 + -aeea2? -aee9e In base 16, what is 196f + 5279? 6be8 In base 2, what is 100101111 - -111111010001000? 111111110110111 In base 2, what is 100100000101111001 + -111001100? 100011111110101101 In base 8, what is 4 - 2620225? -2620221 In base 6, what is -140234 + -255200? -435434 In base 9, what is 61673162 - -5? 61673167 In base 7, what is 31654601 - 22? 31654546 In base 7, what is 260526 + 41345? 332204 In base 16, what is -ebc - 38? -ef4 In base 6, what is 133241 - 3542? 125255 In base 6, what is -214455124 - -103? -214455021 In base 3, what is -12 - 100011012012? -100011012101 In base 15, what is a + 45325e? 453269 In base 15, what is 2d - 21d48d? -21d460 In base 16, what is 1 + 6fdec4f? 6fdec50 In base 11, what is -6023780 - 3? -6023783 In base 11, what is 0 + -11a07a6? -11a07a6 In base 11, what is -670 - 8056? -8716 In base 16, what is a55b1e - 1? a55b1d In base 2, what is -11 + -1100100110101101001100001? -1100100110101101001100100 In base 10, what is 632 + -19351? -18719 In base 5, what is -1214342004 + -4? -1214342013 In base 4, what is 23113001 + 2021? 23121022 In base 10, what is 4 - 102237? -102233 In base 2, what is -10010 - 10111101011100? -10111101101110 In base 15, what is a - 1a1613? -1a1608 In base 4, what is 331 + -123022011? -123021020 In base 3, what is -222111002 - -20021? -222020211 In base 5, what is -301 + 2034003002? 2034002201 In base 3, what is 1212002102112 - 1112? 1212002101000 In base 13, what is 0 - -79590a? 79590a In base 4, what is 1302 + 23022102221? 23022110123 In base 16, what is 2cb - 135138? -134e6d In base 10, what is 215 - -3597? 3812 In base 8, what is 12421661 - -11? 12421672 In base 5, what is -3 + -1312112033? -1312112041 In base 12, what is -2128 + -11732? -1385a In base 9, what is 40 + 2106580? 2106630 In base 11, what is -43a8 - -22617? 1921a In base 14, what is -1481c + c5? -14737 In base 9, what is 4252184 + 14? 4252208 In base 6, what is 5 - 11351133501? -11351133452 In base 8, what is -267 - 40236? -40525 In base 15, what is 4518a + -7e? 4510b In base 12, what is -5 - 331a19? -331a22 In base 6, what is -4 - -33233143? 33233135 In base 6, what is 343405 - 1214? 342151 In base 8, what is -10324075 - -5? -10324070 In base 5, what is 242310001212 - 0? 242310001212 In base 14, what is -9d + -7ba0? -7c5d In base 9, what is 67677482 - 4? 67677477 In base 14, what is -27ca80 + 2c? -27ca52 In base 12, what is -1389 - 238970? -23a139 In base 13, what is 1 + c0ac575? c0ac576 In base 9, what is -12554 - 1013? -13567 In base 14, what is 2c1b9 + 1456? 2d631 In base 3, what is -101 + 2011112002000222? 2011112002000121 In base 7, what is -3 + 20132104? 20132101 In base 11, what is -988269 + -8? -988276 In base 4, what is 20102 + 1023321102? 1030001210 In base 14, what is 8248583 - a? 8248577 In base 9, what is 5686 + -1846? 3740 In base 3, what is 12111212011012 + -220? 12111212010022 In base 11, what is -4 + 2396151? 2396148 In base 16, what is 331 - -b2b? e5c In base 2, what is -1 - -11111101000011110101010? 11111101000011110101001 In base 7, what is -206 - 1600336? -1600545 In base 15, what is -1a + d9b64? d9b49 In base 15, what is d2d42 - 5? d2d3c In base 14, what is aa - d7d90? -d7cc4 In base 2, what is -11 + 1101100010100010010001? 1101100010100010001110 In base 5, what is 142 + 44120300? 44120442 In base 11, what is -10 + 481464? 481454 In base 5, what is 102420022 - -42? 102420114 In base 13, what is -1c0a5c - 52? -1c0ab1 In base 14, what is 428470 - 20? 428450 In base 13, what is -c18b6 - -626? -c1290 In base 16, what is -36161a - -17? -361603 In base 14, what is -10d83 + 77? -10d0a In base 6, what is -1 + 1504002? 1504001 In base 12, what is -5 + -12190b1? -12190b6 In base 7, what is 4 + 43651556? 43651563 In base 8, what is -643 - 201523? -202366 In base 11, what is 112aa3 + -262? 112841 In base 11, what is -3 + -3a51588? -3a51590 In base 13, what is 302 + -92a1b? -92719 In base 7, what is -14531164 + 120? -14531044 In base 3, what is 101111220021 + -11121? 101111201200 In base 5, what is 121 + 23331322? 23331443 In base 10, what is 208 + -13445? -13237 In base 3, what is -12 + 120101222121122? 120101222121110 In base 5, what is 11332133 - 13314? 11313314 In base 11, what is -114133a8 - -12? -11413396 In base 7, what is 312234436 + -2? 312234434 In base 7, what is 333146 - 150? 332666 In base 11, what is 8a - -18661? 18740 In base 9, what is -11 - 33866664? -33866675 In base 4, what is 121012132203 + -10? 121012132133 In base 15, what is 3 - 1e0626? -1e0623 In base 4, what is 23001220 + -123220? 22212000 In base 2, what is 11010 + 11011100101100010011? 11011100101100101101 In base 16, what is -61201d0 - -2? -61201ce In base 4, what is 1 + -1111130010322? -1111130010321 In base 16, what is -291be0a - -4? -291be06 In base 4, what is 10200211220 + 201? 10200212021 In base 4, what is 10 - 2323120103321? -2323120103311 In base 13, what is cb6297 + -19? cb627b In base 2, what is -11101110111100010110 + -1010101? -11101110111101101011 In base 11, what is 2145a115 + -2? 2145a113 In base 4, what is 13202330132023 + -2? 13202330132021 In base 10, what is -4 + -36523880? -36523884 In base 7, what is -325433 + 1210? -324223 In base 14, what is -5 + -1374501b? -13745022 In base 8, what is -4 - -3460316? 3460312 In base 6, what is -23243550 + 1012? -23242534 In base 13, what is 1087b + 1210? 11a8b In base 8, what is -5267243 + 2? -5267241 In base 13, what is 103 - a032? -9c2c In base 11, what is 1890a1825 + 0? 1890a1825 In base 5, what is 420 + -13343231? -13342311 In base 5, what is 42202042403 + -1? 42202042402 In base 4, what is -213303 + -2122102? -3002011 In base 10, what is 39 + -249685? -249646 In base 16, what is 4 + 379007? 37900b In base 3, what is 1212110020000002 - -2? 1212110020000011 In base 11, what is 18114847 + 4? 18114850 In base 7, what is -40306 + 2402? -34604 In base 11, what is -1a00568a4 + -4? -1a00568a8 In base 6, what is 140243331 + -4? 140243323 In base 3, what is -1200221102001 + 22? -1200221101202 In base 13, what is 1 + -38c2b3c? -38c2b3b In base 4, what is 1121 + -211233231310? -211233230123 In base 14, what is 12711 + -13? 126dc In base 15, what is 34b3 + -eed? 24b5 In base 10, what is 2 + -6951595? -6951593 In base 6, what is 2130250 + 243? 2130533 In base 9, what is -4664 - 4283? -10057 In base 12, what is -89 - 20838? -20905 In base 12, what is 39 - 157bb0? -157b73 In base 6, what is 52 + -42244511? -42244415 In base 6, what is -33202210 + -43? -33202253 In base 12, what is 1a3236 - a? 1a3228 In base 9, what is 5415631 + -17? 5415613 In base 6, what is 202513 - -501? 203414 In base 15, what is 94 + -e3b92? -e3aed In base 5, what is 1143134301 - 443? 1143133303 In base 11, what is -688a31 - 8? -688a39 In base 2, what is -1000110011000100 - 101111000001001? -1110101011001101 In base 15, what is 3 - 4227151? -422714d In base 5, what is -123222 - 10220? -133442 In base 10, what is -11244542 + -3? -11244545 In base 3, what is 0 + 100102120002120? 100102120002120 In base 15, what is -48dd0 + 2c? -48da3 In base 8, what is 3201232 - 40? 3201172 In base 7, what is -402310134 - -3? -402310131 In base 4, what is 2013010210 + 30? 2013010300 In base 13, what is 1 + -641a7? -641a6 In base 15, what is 198 + -15b5d? -159b5 In base 11, what is 0 + -67032257? -67032257 In base 14, what is -4 - -127b2b3? 127b2ad In base 2, what is -110011 + 1111001010101111? 1111001001111100 In base 7, what is 1100610 + 106? 1101016 In base 12, what is -27702 - -168? -27556 In base 6, what is -441034 + -2350? -443424 In base 10, what is 2 - 1501164? -1501162 In base 3, what is 1 + -1011212010020211? -1011212010020210 In base 8, what is -327 + 142722? 142373 In base 8, what is -40106 - 12166? -52274 In base 14, what is 132c613 - 6? 132c60b In base 4, what is -2123 + 10122323231? 10122321102 In base 4, what is 130010 - 313211? -123201 In base 10, what is -1 - 1031716? -1031717 In base 3, what is 2220221201122 - 20? 2220221201102 In base 10, what is 0 + 398583? 398583 In base 11, what is -64a - 90a? -1459 In base 7, what is
{ "pile_set_name": "DM Mathematics" }
in 3/4, -0.4, 798? 798 What is the biggest value in 3, 1/6, -2/29? 3 What is the third biggest value in -7, 778, 2, 2/15? 2/15 Which is the third biggest value? (a) 1 (b) 3 (c) -1.48 (d) -0.1 d What is the third smallest value in 213, -2, -5? 213 What is the smallest value in 0.26, 2, -0.04? -0.04 Which is the second smallest value? (a) 3 (b) 0.3 (c) -0.49 (d) -4/7 c Which is the third smallest value? (a) -1/7 (b) -0.5 (c) -12 (d) -0.4 (e) 2/97 d Which is the biggest value? (a) 0 (b) 5/6 (c) -90/113 (d) -0.4 b What is the second biggest value in 3/8, 1/2, 391? 1/2 What is the second smallest value in -0.5, 0, 9/4? 0 Which is the second smallest value? (a) -1/3 (b) 4 (c) 2/11 (d) -83 a Which is the fifth biggest value? (a) 1/2 (b) -3/10 (c) 1 (d) 3/4 (e) 4 b What is the second biggest value in 889, 3/5, -0.2? 3/5 What is the third smallest value in 3, -3/4, -0.3, -7? -0.3 Which is the third smallest value? (a) 1/4 (b) 0.27 (c) 0.5 c Which is the fourth biggest value? (a) 2/5 (b) 3 (c) -147 (d) 3/2 c Which is the fifth biggest value? (a) -0.1 (b) -1/4 (c) 125 (d) -0.5 (e) 2/9 d What is the smallest value in 5, 0.5, -1, -0.3? -1 Which is the second smallest value? (a) 0.1 (b) 8.2 (c) -8/7 a What is the fourth biggest value in 0, 73, -0.4, 1/40? -0.4 Which is the second biggest value? (a) -3 (b) 2/11 (c) 0.03 (d) 0.06 d Which is the second smallest value? (a) 0 (b) 3 (c) -0.3 (d) 10 a What is the smallest value in 10/3, -4, 0.3, -0.4? -4 What is the biggest value in 147, -0.2, -0.05, 2? 147 Which is the third biggest value? (a) -0.4 (b) 216 (c) 2/7 a What is the biggest value in 302/17, -0.3, -2? 302/17 What is the smallest value in 0.69, 58/7, 2? 0.69 Which is the biggest value? (a) 0.08 (b) -3 (c) 2 c Which is the second biggest value? (a) 3/4 (b) -0.2 (c) -5 (d) 2 a Which is the smallest value? (a) -0.3 (b) 2/11 (c) 0.4 (d) 1/17 (e) 5 a Which is the third smallest value? (a) -9/11 (b) 5/6 (c) 2/9 b What is the second biggest value in 0.1, -0.2, -2/9, -2? -0.2 What is the biggest value in 3, 0.5, -1, 1? 3 Which is the third biggest value? (a) 1/6 (b) 0.1 (c) 271 b Which is the biggest value? (a) 3/2 (b) 1 (c) 0.5 (d) -9 (e) -2 a What is the third biggest value in 2/17, -2, -0.2, -0.333? -0.333 Which is the smallest value? (a) -56 (b) 0 (c) 2/3 (d) 5 a Which is the biggest value? (a) 0.5 (b) 4 (c) 2/101 b What is the fourth biggest value in -4, 2/11, -18/5, -0.5? -4 What is the biggest value in 0.1, 44, -2, -1? 44 Which is the second smallest value? (a) -1 (b) 9.1 (c) 4 c Which is the fifth biggest value? (a) 3 (b) -2.3 (c) 3/7 (d) 1 (e) 4 b Which is the fourth biggest value? (a) 0.1 (b) -2 (c) -17 (d) -0.4 c Which is the second biggest value? (a) -3 (b) -11.872 (c) 2 a Which is the biggest value? (a) 4 (b) -1/3 (c) 2/9 (d) -2 (e) 2 a Which is the third smallest value? (a) -1/23 (b) -2.69 (c) 3 (d) -1 a Which is the biggest value? (a) 2 (b) -2/21 (c) -3/4 (d) 3/4 a What is the biggest value in 10, -1, -4, -5/3, -40? 10 Which is the biggest value? (a) -4 (b) 2/209 (c) 2/3 (d) 8 d Which is the third biggest value? (a) -1 (b) -0.2 (c) 9 (d) -2/9 d What is the biggest value in 0, -1/5, 13, -3/7? 13 What is the second biggest value in -52, 5, 10, -0.5? 5 Which is the fourth biggest value? (a) 0.04 (b) -7/2 (c) -2/9 (d) -2 b Which is the fourth biggest value? (a) 5 (b) -1/4 (c) -1 (d) 1/2 c Which is the second smallest value? (a) -1/5 (b) 5 (c) 7 (d) -10 a What is the second biggest value in -123, 4/5, 0.3, -2, -3? 0.3 Which is the second smallest value? (a) -1/3 (b) 2 (c) 14017 b Which is the smallest value? (a) 1/5 (b) 3/193 (c) 2 b Which is the third biggest value? (a) -1/6 (b) 1 (c) -15 (d) -43 c What is the second smallest value in 0.14, 5, 0.1? 0.14 What is the second biggest value in 1/4, -0.2, -9? -0.2 Which is the second smallest value? (a) 2/19 (b) -2/243 (c) -0.1 b Which is the fourth biggest value? (a) -12 (b) 1 (c) 4/3 (d) 0.4 (e) 6 d What is the smallest value in 2, 4, 0, -0.074? -0.074 What is the biggest value in 3/4, -8, -9? 3/4 Which is the third smallest value? (a) 3 (b) 2/7 (c) -2/13 (d) 3/5 d Which is the second biggest value? (a) 0.1 (b) -5 (c) -4 (d) -4/7 d What is the smallest value in -5, 2, 0.1, -55? -55 What is the fourth biggest value in -2/17, 4, -41, -1/2? -41 Which is the third biggest value? (a) -3 (b) -2 (c) -2/17 (d) -144 (e) 1 b Which is the second smallest value? (a) 1/4 (b) -1694 (c) -4 (d) 1/8 c What is the third smallest value in 2, 0.15, -0.3, 3, 0? 0.15 What is the second biggest value in 0.5, -3, 8/9? 0.5 What is the second biggest value in 0.3, 0, -2, 5? 0.3 What is the third biggest value in 1/4, 2, -0.35, -1? -0.35 What is the second biggest value in -0.3, -411, -0.1? -0.3 What is the biggest value in -0.3, -19, 2/15? 2/15 What is the smallest value in 1, 11, 2/79? 2/79 Which is the second biggest value? (a) -16 (b) 0.2 (c) 0.4 (d) -0.1 (e) 11/5 c Which is the third smallest value? (a) 6 (b) 36 (c) 0.3 b Which is the fourth biggest value? (a) 14 (b) 5 (c) -8 (d) -2/7 c Which is the second biggest value? (a) -10 (b) -0.1 (c) -1 (d) -0.2 (e) -1/3 d What is the biggest value in 67/4, 3, 2/23? 67/4 What is the fourth smallest value in -1/3, -2/3, -0.1, -0.02? -0.02 Which is the second smallest value? (a) -0.2 (b) 0.5 (c) 0.2 (d) -15/7 a Which is the fourth biggest value? (a) -1/4 (b) 9/8 (c) 0.4 (d) -2 d Which is the third smallest value? (a) -3 (b) -0.5 (c) 20 (d) 4 d Which is the fourth biggest value? (a) -2/9 (b) 0.5 (c) 52/3 (d) -1/13 (e) 0.3 d Which is the third biggest value? (a) -4 (b) -0.3 (c) -27 c What is the second smallest value in 1/2, 0.1, -0.01? 0.1 Which is the third smallest value? (a) 0.2 (b) -2/43 (c) -4 (d) 2 a What is the smallest value in 15, -1/7, 191? -1/7 What is the second biggest value in -7, -0.07, 0? -0.07 Which is the fourth biggest value? (a) -2/19 (b) -1/6 (c) -0.5 (d) 13/4 c What is the third smallest value in -12, -7, 0, 2/15, -4/9? -4/9 Which is the second smallest value? (a) -95 (b) 0.8 (c) -1 c Which is the biggest value? (a) -4 (b) -3 (c) 0.35 (d) 0.4 d Which is the second biggest value? (a) 2/69 (b) -1/4 (c) 0 (d) -4 c Which is the second biggest value? (a) -5 (b) 7 (c) -7/4 c What is the second smallest value in 0.1, -3, 3749? 0.1 Which is the third biggest value? (a) 0 (b) -1/12 (c) 6 (d) 4/9 (e) -0.2 a What is the biggest value in 3/7, 3, 136? 136 Which is the biggest value? (a) 0.3 (b) 1/3 (c) -0.3 (d) 0.23 b What is the third smallest value in 1.27, 2, -1/8? 2 Which is the third biggest value? (a) 3 (b) -2/3 (c) -10/3 c Which is the second biggest value? (a) 0.3 (b) -5 (c) -2 (d) 1293 a What is the smallest value in -0.01, 5, -62? -62 What is the smallest value in 14, 2/5, 2? 2/5 What is the second biggest value in 431, -3, -0.4? -0.4 Which is the fourth biggest value? (a) 2/35 (b) 0.4 (c) 0.1 (d) -4 d Which is the third smallest value? (a) 3 (b) 2/7 (c) -0.64 (d) 0.03 b What is the second biggest value in 3, -2, -4? -2 What is the third biggest value in -2/3, 64, -2/11, -5? -2/3 What is the third biggest value in 0.003, 2, 0? 0 What is the second smallest value in -97, -0.4, -2, -5, -1/3? -5 What is the biggest value in -16, -0.2, 2/15, -4/9? 2/15 What is the biggest value in -5, 2, -40? 2 Which is the second smallest value? (a) 4 (b) -2.2 (c) 0.5 c What is the biggest value in -0.02, 2/11, -3/5, 3/7? 3/7 What is the second biggest value in -3, -0.5, 54, -11, 0.1? 0.1 What is the third biggest value in 1, 8, -1/4? -1/4 Which is the third smallest value? (a) -3/4 (b) -3 (c) 87 c What is the second smallest value in 23, 11, -0.1, 2? 2 Which is the second smallest value? (a) 0 (b) -0.4 (c) 0.24 a Which is the second smallest value? (a) 5 (b) -0.5 (c) -87 b What is the second smallest value in -0.3, -3/4, -73? -3/4 What is the smallest value in 9, -3, -3/56? -3 Which is the second biggest value? (a) -857 (b) 3/2 (c) 3 b What is the smallest value in 22/5, -1, 0? -1 Which is the second biggest value? (a) -0.
{ "pile_set_name": "DM Mathematics" }
nd 1. 174442 Calculate the smallest common multiple of 9600 and 7. 67200 Calculate the common denominator of 65/11832 and 61/2448. 70992 Calculate the common denominator of -33/164 and 69/1450. 118900 What is the lowest common multiple of 1761084 and 2982? 12327588 Find the common denominator of 15/377701 and 87/3777010. 3777010 Calculate the smallest common multiple of 10 and 14977. 149770 Find the common denominator of -121/72840 and -51/128. 1165440 What is the common denominator of 13/876156 and 43/10? 4380780 Calculate the lowest common multiple of 425 and 10047. 251175 Calculate the smallest common multiple of 136 and 29206. 116824 What is the least common multiple of 1125 and 375? 1125 Calculate the common denominator of 83/15402 and 88/255. 77010 What is the lowest common multiple of 2931 and 195? 190515 Calculate the common denominator of 29/90459 and 37/50255. 452295 What is the common denominator of -31/869756 and 109/44? 9567316 What is the common denominator of -97/874 and -87/74348? 32490076 What is the smallest common multiple of 8996 and 173? 8996 Find the common denominator of -69/766 and -9/58. 22214 What is the lowest common multiple of 256116 and 6? 256116 What is the lowest common multiple of 28922 and 20? 289220 Calculate the common denominator of -99/8372 and 95/1092. 25116 What is the common denominator of 77/48654 and 107/14? 340578 What is the common denominator of -111/140 and -101/1610? 3220 Calculate the least common multiple of 210 and 6930. 6930 Find the common denominator of -59/62 and 63/2. 62 Find the common denominator of 73/6 and -25/53427. 106854 Calculate the least common multiple of 565939 and 308694. 3395634 Calculate the smallest common multiple of 11968 and 23936. 23936 What is the common denominator of 111/9130 and 169/12450? 136950 Calculate the smallest common multiple of 91 and 12565. 163345 Calculate the least common multiple of 348 and 156. 4524 What is the common denominator of -29/258 and 37/258344? 775032 What is the smallest common multiple of 273 and 1365? 1365 Calculate the common denominator of -79/310 and 39/41540. 41540 Calculate the common denominator of -41/3792 and -25/158. 3792 What is the lowest common multiple of 14916 and 3? 14916 What is the common denominator of 73/6426 and -21/32? 102816 What is the least common multiple of 7837 and 3227? 54859 What is the lowest common multiple of 72338 and 2? 72338 What is the common denominator of 43/2490 and 34/525? 87150 Calculate the common denominator of 87/224 and 23/480270. 7684320 Calculate the common denominator of -81/932 and -33/2330. 4660 Calculate the common denominator of -9/16585 and -19/197. 3267245 Calculate the lowest common multiple of 416 and 2420. 251680 Calculate the lowest common multiple of 96 and 6126. 98016 Calculate the lowest common multiple of 47250 and 63. 47250 What is the common denominator of 99/4 and -5/17796? 17796 What is the common denominator of -65/14 and 81/42352? 296464 Calculate the common denominator of -11/28073 and -59/5. 140365 What is the lowest common multiple of 11718 and 23436? 23436 Calculate the smallest common multiple of 20 and 2070. 4140 What is the smallest common multiple of 13860 and 21780? 152460 What is the common denominator of 91/4860 and -103/3240? 9720 Calculate the lowest common multiple of 4807 and 25783. 283613 What is the lowest common multiple of 11460 and 80? 45840 What is the common denominator of 23/29088 and 95/1158? 5613984 What is the common denominator of -33/494 and 58/2145? 81510 What is the smallest common multiple of 54 and 8124? 73116 What is the least common multiple of 363740 and 25? 1818700 Calculate the smallest common multiple of 2040 and 76092. 760920 What is the common denominator of -81/550 and 149/1650? 1650 What is the common denominator of 56/1479 and -23/42978? 730626 Calculate the least common multiple of 7714 and 722. 146566 Calculate the common denominator of 49/775 and -4/1705. 8525 Calculate the lowest common multiple of 34538 and 217. 1070678 Calculate the common denominator of -13/46650 and 59/3732. 93300 What is the lowest common multiple of 8918 and 22932? 160524 What is the least common multiple of 6 and 1032? 1032 Calculate the common denominator of -23/8673 and 88/8673. 8673 Calculate the lowest common multiple of 10149 and 199. 10149 Calculate the common denominator of -43/9230 and 73/52. 18460 What is the common denominator of -11/9414 and 10/141? 442458 What is the smallest common multiple of 270600 and 221400? 2435400 What is the common denominator of 28/97539 and -88/915? 487695 What is the least common multiple of 21 and 89253? 624771 Calculate the common denominator of -63/106408 and 139/384. 5107584 Calculate the least common multiple of 4050 and 42525. 85050 What is the least common multiple of 2130 and 390? 27690 Find the common denominator of 29/141 and 16/127041. 127041 What is the common denominator of 57/775 and -107/91140? 455700 What is the lowest common multiple of 48 and 492? 1968 Find the common denominator of 17/1046 and -31/5138. 2687174 Calculate the common denominator of -81/2134 and -93/32. 34144 What is the smallest common multiple of 8964 and 11196? 2787804 Calculate the least common multiple of 680 and 136. 680 Calculate the common denominator of 17/45 and -38/3385. 30465 Find the common denominator of 79/7242 and -67/7242. 7242 Calculate the lowest common multiple of 1296 and 7560. 45360 Calculate the common denominator of -91/18 and 31/281394. 281394 What is the smallest common multiple of 437 and 8189? 188347 What is the common denominator of 105/902 and -67/220? 9020 Calculate the least common multiple of 13068 and 330. 65340 Find the common denominator of -81/8596 and 95/14736. 103152 Calculate the common denominator of -3/494 and 11/4940. 4940 Calculate the least common multiple of 360 and 33480. 33480 Calculate the common denominator of -49/46220 and 49/110928. 554640 Find the common denominator of -70/125241 and 55/69. 2880543 Calculate the common denominator of -47/500 and 89/8200. 41000 Calculate the least common multiple of 29708 and 490. 1039780 Calculate the common denominator of -7/776193 and 151/66. 1552386 Calculate the lowest common multiple of 18 and 64395. 128790 Calculate the common denominator of 35/1856 and 47/4480. 129920 Calculate the smallest common multiple of 60 and 96. 480 What is the common denominator of 59/1410 and 149/12960? 609120 Find the common denominator of -7/136084 and 37/13. 136084 Calculate the common denominator of -101/110682 and 47/70434. 774774 Calculate the common denominator of 47/9 and -103/36790. 331110 What is the smallest common multiple of 1269 and 8883? 8883 Find the common denominator of 85/8 and 85/15668. 31336 What is the lowest common multiple of 84726 and 270? 423630 Calculate the common denominator of 173/52140 and -13/86900. 260700 What is the smallest common multiple of 252800 and 50? 252800 Calculate the least common multiple of 528 and 142758. 1142064 Calculate the lowest common multiple of 34992 and 271188. 1084752 What is the common denominator of -37/25017 and 103/48? 400272 Find the common denominator of -55/724 and -123/47060. 47060 Calculate the smallest common multiple of 26100 and 10. 26100 What is the common denominator of -41/11178 and 127/1242? 11178 Calculate the smallest common multiple of 67188 and 201564. 201564 What is the least common multiple of 141 and 7038? 330786 What is the least common multiple of 96115 and 4089? 8362005 What is the least common multiple of 330 and 34980? 34980 Calculate the lowest common multiple of 30 and 14178. 70890 What is the lowest common multiple of 698 and 563984? 563984 What is the common denominator of 29/15 and 64/8955? 8955 Calculate the lowest common multiple of 29440 and 92. 29440 What is the common denominator of -89/46048 and -91/40? 230240 Calculate the lowest common multiple of 1024 and 34224. 2190336 What is the common denominator of -1/154 and -17/20020? 20020 Calculate the common denominator of -4/33 and -15/51722. 155166 What is the common denominator of -97/313024 and -71/1606? 3443264 What is the common denominator of -157/4026 and -19/10769? 3941454 What is the lowest common multip
{ "pile_set_name": "DM Mathematics" }
third derivative of p(g) wrt g. -240*g**3 Let u(a) be the second derivative of -7*a**3 + 8*a**2 + 32*a - 1. Differentiate u(o) wrt o. -42 Find the third derivative of 370*q - 2*q**2 - 4*q**4 - 362*q + 4*q**3 - 2*q**3 wrt q. -96*q + 12 Suppose -10 = -3*x - x - 3*c, -x + 3*c - 5 = 0. Let l be 32/10 - x/5. Find the second derivative of -v - v**l - 3*v**3 + 3*v wrt v. -24*v Let m(c) be the first derivative of -9*c**4/4 + 11*c**2/2 + 8. Find the second derivative of m(n) wrt n. -54*n Suppose -2*x - 14 = -0*i - 2*i, -6 = 2*i + 3*x. What is the second derivative of -t**i - 2*t**3 + 37*t - 32*t wrt t? -18*t Let z(g) = 2*g - 4. Let r be z(2). Let t(v) be the third derivative of -1/20*v**5 + 0*v + 0 + v**2 + r*v**4 - 1/3*v**3. Differentiate t(a) with respect to a. -6*a Suppose -6 - 5 = -x. Suppose -3 = 2*a - x. Find the third derivative of 4*y + 4*y**2 - 2*y - 2*y + 4*y**a wrt y. 96*y Let w(z) be the third derivative of -8*z**7/105 - z**5/15 + 5*z**2. What is the third derivative of w(r) wrt r? -384*r Let h(f) = -13*f**3 + 5*f**2 - 9. Let x(s) = 13*s**3 - 6*s**2 + 10. Let d(y) = -6*h(y) - 5*x(y). Differentiate d(k) with respect to k. 39*k**2 Suppose -6*s + 2 = -10. What is the second derivative of f**2 + f + 0*f - 9*f + 4*f**s wrt f? 10 Let y(w) be the second derivative of 17*w**4/12 - 2*w**3/3 - 6*w**2 + w - 33. What is the second derivative of y(n) wrt n? 34 Let g(r) = r - 5. Let o be g(14). What is the derivative of 1 - 7*a**3 + 9*a**3 + 3*a**3 - o wrt a? 15*a**2 Let d(m) = -3*m**2 - m. Let h(n) = -n**2 - n + 1. Let g be (-1 + 2)*8/(-4). Let r(t) = g*h(t) + 2*d(t). Differentiate r(j) with respect to j. -8*j Let n = 6 - 3. Let o be n/2*16/(-3). Let y(c) = 7*c**2 + 13*c. Let f(j) = 11*j**2 + 20*j. Let q(r) = o*y(r) + 5*f(r). Find the second derivative of q(k) wrt k. -2 Let p(i) = i**3 + 4*i**2 - 2*i - 5. Let a be p(-4). Find the third derivative of 6*l**3 - 3*l**3 - a*l**2 + 4*l**2 + l**2 wrt l. 18 Find the first derivative of 22 + 30 + 31 - 21*k - 55 wrt k. -21 Let f(d) = 9*d**4 - 5*d - 7. Let w(u) = -5*u**4 + 3*u + 4. Let x(z) = -3*f(z) - 5*w(z). What is the first derivative of x(b) wrt b? -8*b**3 Let v(l) = l**3 - 6*l**2 + l - 4. Let y be v(6). Suppose -x = x - 4. Find the third derivative of -2*t**3 - 2 + y*t**2 + 2 - x*t**3 wrt t. -24 Let i be (-1 - -1)/(2 + 1). What is the second derivative of i*y**4 + 3*y - 3*y**4 + 0*y**4 wrt y? -36*y**2 Let k(r) be the first derivative of r**6/3 + 5*r**2 - 2. What is the second derivative of k(f) wrt f? 40*f**3 Let w = -11 + 15. What is the third derivative of -2*p**w - p**2 - 3*p**4 - p**4 wrt p? -144*p Let b(x) be the second derivative of -x**5/20 + 5*x**3/6 - 7*x. Find the second derivative of b(n) wrt n. -6*n Suppose -7 - 8 = -5*l. Let b(o) = -o**3 - 3*o**2 + 5*o + 7. Let j be b(-4). Find the third derivative of -5*z**j + 5*z**3 - 3*z**3 + l*z**2 wrt z. -18 What is the third derivative of 8*n**2 + 9*n**4 + 5*n**2 - 5*n**2 + 3*n**4 wrt n? 288*n Let k be 2 + (-2)/8 + (-6)/(-24). Let f(a) be the first derivative of k + 3*a - 1/2*a**2. What is the derivative of f(z) wrt z? -1 Let p(x) be the second derivative of x**9/5040 + x**7/2520 + x**4/12 - x. Let o(u) be the third derivative of p(u). Find the third derivative of o(b) wrt b. 72*b Let f(t) be the second derivative of -5*t**3/6 + 11*t**2/2 + 8*t. What is the derivative of f(p) wrt p? -5 Suppose 0 = -w + 5*w. Let c(r) be the first derivative of 0*r**3 - 1/2*r**2 + 1/2*r**4 + w*r - 2. Find the second derivative of c(k) wrt k. 12*k What is the third derivative of 4*q**4 - 3*q**4 + 2*q**2 - 5*q**4 - 6*q**2 wrt q? -96*q Suppose -2*j = 3*j. Let k be (-4 - -7) + 1 + j. Differentiate -2 + 1 - 3*c**k + 5*c**4 with respect to c. 8*c**3 Let b(y) be the third derivative of 0 + 1/6*y**4 + 1/2*y**3 + 0*y + 3*y**2. Differentiate b(t) with respect to t. 4 Let k be (3 - 0)*2/2. Suppose -2*x + k = 6*a - 3*a, -4*a + 2*x + 18 = 0. Find the second derivative of 2*f**5 - 4*f**3 + 4*f**a + 2*f wrt f. 40*f**3 Let j(r) = -15*r**2 - 11*r + 2. Let m(i) = -150*i**2 - 111*i + 21. Let u(q) = 21*j(q) - 2*m(q). Find the second derivative of u(n) wrt n. -30 What is the second derivative of -2*c**5 + c - 8*c**5 - 6*c wrt c? -200*c**3 Let t = -24 - -28. Suppose 5*f - 4*d - 9 = 0, -d - 4 = -6*f + 3*f. Find the third derivative of -1 + f - j**2 + j**t wrt j. 24*j Let t(f) = 4*f**2 + 23*f - 130. Let y(b) = -2*b**2 - 11*b + 66. Let l(g) = -3*t(g) - 5*y(g). Differentiate l(z) wrt z. -4*z - 14 What is the second derivative of -10*l - 7*l + 12*l - l**2 wrt l? -2 Let x(o) be the first derivative of o**4 - o**3/3 - 1. Find the third derivative of x(f) wrt f. 24 Suppose 4*l - 39 = -11. Let x = -4 + l. Find the second derivative of -2*u**x + 2*u + u**3 - 3*u wrt u. -6*u Suppose -7*s + 12 = -3*s. Find the third derivative of 0*n**3 + 1 + s*n**2 - 1 - n**3 wrt n. -6 Let j(m) be the second derivative of -16*m**6/15 - 13*m**3/6 + 29*m. Find the second derivative of j(y) wrt y. -384*y**2 Let n be (1/1)/1*11. Let z(p) = 16*p**2 + p**4 + 11 - p + p. Let u(f) = -3*f**2 - 2. Let q(j) = n*u(j) + 2*z(j). What is the third derivative of q(v) wrt v? 48*v What is the third derivative of -617*l - 14*l**3 + 4*l**2 + 617*l wrt l? -84 Let w(l) be the first derivative of -9*l**4/4 + 2*l**3/3 - 3. Find the third derivative of w(r) wrt r. -54 Let a(u) = -31*u**3 + 4*u**2 - 4*u + 41. Let r(c) = 62*c**3 - 7*c**2 + 7*c - 83. Let y(m) = 7*a(m) + 4*r(m). Differentiate y(d) with respect to d. 93*d**2 What is the third derivative of -36*j**5 - 27*j**5 - 14*j**2 + 56*j**5 wrt j? -420*j**2 Let d(o) = 4*o**3 + 4*o**2 + 6. Let f(r) = -8*r**3 - 9*r**2 - 13. Let l(j) = 9*d(j) + 4*f(j). Differentiate l(y) wrt y. 12*y**2 Suppose -w = 2*a - 5*w - 12, -4*a + 4*w + 16 = 0. Find the second derivative of 0*j - a*j + 2*j**3 + j**3 wrt j. 18*j Let y be (-51)/(-12) + 2/(-8). Find the third derivative of 0*w**2 - w**4 - 3*w**2 + w**4 + 2*w**y wrt w. 48*w What is the second derivative of 8*d + 0*d**2 - 2 + 3*d**2 + 2 wrt d? 6 Let q(n) = n**4 - n**3 - n - 1. Let w(r) = 16*r**4 - 5*r**3 - 4*r**2 - 5*r - 5. Let c(h) = 10*q(h) - 2*w(h). Find the third derivative of c(a) wrt a. -528*a Let x(f) = f + 6. Let y be x(-4). Let i be (8/y)/(-2) - -6. What is the third derivative of -4*c**i + 3*c**4 + 2*c**4 - c**2 wrt c? 24*c Find the first derivative of 350*k**2 + 7 + 9 - 361*k**2 wrt k. -22*k Let j(o) be the third derivative of -6*o**2 + 0*o**3 - 1/112*o**8 + 0*o**7 - 7/24*o**4 + 0*o**6 + 0 + 0*o**5 + 0*o. What is the second derivative of j(v) wrt v? -60*v**3 Let j(d) = 2*d**3 - 6*d**2 - 5*d + 6. Let k(u) = 5*u**3 - 17*u**2 - 15*u + 17. Let y(v) = 17*j(v) - 6*k(v). Find the second derivative of y(x) wrt x. 24*x Suppose 1 = 5*f - 4. Let j(m) = 1. Let n(x) = 2*x + 7. Let k(p) = f*n(p) - 6*j(p). Find the first derivative of k(l) wrt l. 2 Let i(r) = -97*r**4 - 17*r**3 - 17*r**2 + 17*r - 1. Let v(f) = 16*f**4 + 3*f**3 + 3*f**2 - 3*f. Let j(l) = -6*i(l) - 34*v(l). Differentiate j(x) wrt x. 152*x**3 Let t(n) be the first derivative of -3*n**5/5 - 11*n - 11. Differentiate t(o) wrt o. -12*o**3 What is the second derivative of 3*w**3 - 7*w**3 + 12*w**3 + 3*w**3 - 21*w wrt w? 66*w Suppose -a + 5 = -0*a. Let b(r) = -r**3 - 6*r**2 - 5*r + 2. Let j be b(-5). What is the third derivative of -a*l**2 + 4*l**4 - j*l**4 + 7*l**2 wrt l? 48*l What is the first derivative of 2 + 6 + 2*v**4 - 2 + 10*v**4 wrt v? 48*v**3 What is the third derivative of 8*i + 8*i - 21*i**2 - 16*i - 2*i**4 wrt i? -48*i Let b(v) be the second derivative of -v**8/840 - v**7/315 - 5*v**4/12 - 7*v. Let d(y) be the third derivative of b(y). Find the third derivative of d(n) wrt n. -48 Let o(f) = 2. Let t(r) = -4*r - 29. Let x(v) = 4*o(v) + 2*t(v). What is the first derivative of x(s) wrt s? -8 Let f(u) be the second derivative of 1/6*u**4 + 0*u**3 + 0*u**5 + 1/7*u**7 + 0 + 0*u**2 + 0*u**6 - 4*u. What is the third derivative of f(x) wrt x? 360*x**2 Let d(t) be the second derivative of -t**5/20 - t**2/2 - 4*t. Let y(u) = 3*u**3. Let h = -8 + 6. Let f(x) = h*d(x) - y(x). Differentiate f(i) with respect to i. -3*i**2 Let u(z) be the first derivative of -2 + 0*z + 0*z**2 - 3/7*z**7 + 0*z**4 + 0*z**5 + 0*z**6 + 5/3*z**3. What is the third derivative of u(o) wrt o? -360*o**3 Let o be ((-12)/(-14))/(1/7). Wh
{ "pile_set_name": "DM Mathematics" }
9 + -7. Suppose 24 = -n*r + 5*r. What are the prime factors of r? 2 Suppose 0 = l + 12 + 1. Suppose -4*i + 5 = -83. Let a = i + l. List the prime factors of a. 3 Let v = 8 - 16. Let j(d) = -d**3 - 9*d**2 - 8*d - 2. Let q be j(v). What are the prime factors of q/(-12) + (-214)/(-12)? 2, 3 What are the prime factors of (-583)/(-187) - 3 - 12236/(-34)? 2, 3, 5 Suppose 3 = 3*x - 3. Suppose -4*l + 18 = -2*l. Suppose 3*h - 4*c = -l + 40, x*h - 3*c - 21 = 0. List the prime factors of h. 3 Let y(i) = -14*i - 10. Let r be y(-7). Suppose 5*d + 27 = -5*z + 97, 4*z - 4*d = r. What are the prime factors of z? 2, 3 Let g = 16 - 15. List the prime factors of (18/(-21))/(g/(-35)). 2, 3, 5 Let s = -4 - -6. Suppose -s*u + 7 = -25. List the prime factors of u. 2 Suppose -1 = 4*v + 7. Let n = v - -2. Suppose n = 3*m - 2*m - 4. What are the prime factors of m? 2 Suppose -180 = -3*w + 2*p + 565, 0 = -4*w + p + 985. What are the prime factors of w? 5, 7 What are the prime factors of (-15)/25 + (-69)/(-15)? 2 Let q(t) be the third derivative of t**4/12 + 4*t**3/3 - t**2. What are the prime factors of q(9)? 2, 13 Suppose 2*v + t = -15, 3 = -3*v + v + 3*t. Let f(z) = -z**2 - 1. Let l(q) = -q**3 - q**2 - 7*q + 4. Let k(g) = 6*f(g) + l(g). List the prime factors of k(v). 2 Let x(t) be the third derivative of t**4/12 - 8*t**3/3 - 3*t**2. List the prime factors of x(12). 2 Suppose 10 = 2*q - 0. Suppose 3*r + q*b - 18 = 0, -3 = -2*b + 3*b. What are the prime factors of r? 11 Let t = 8 - 3. Let i = -5 + t. Suppose 0 = 5*f - i*f - 35. List the prime factors of f. 7 Let y be -1*1 + 10 + 60. Suppose 2*b - y = -b. List the prime factors of b. 23 Suppose 0*v - 4*v + 192 = 0. Suppose 132 = m + 4*m - u, -2*u = -2*m + v. What are the prime factors of m? 3 Let d(h) = h + 3. Let c be d(3). Let l = -5 + c. What are the prime factors of (2*l)/((-8)/(-36))? 3 Let t = 12 - 3. List the prime factors of t. 3 Let j = 12 - 10. Suppose 5*k - 3*x = 54, -4*x + 18 = k - x. Suppose -5*r + k = -2*a, j*r + 0*r = a + 4. What are the prime factors of r? 2 Let z(x) = x**3 + 6*x**2 + 12*x - 7. Let o(a) be the first derivative of -a**3/3 + 1. Let k(u) = 6*o(u) - z(u). List the prime factors of k(-11). 2, 3 List the prime factors of (-2)/14 - 3152/(-14). 3, 5 Let c = 31 + -18. Let i = -24 + c. Let h = -8 - i. What are the prime factors of h? 3 Suppose 0 = 2*y + 3*n - 2*n - 69, 102 = 3*y + 2*n. Suppose -3*k + y = -0*k. List the prime factors of k. 2, 3 Suppose 2 + 17 = p. Let g = p + -17. What are the prime factors of g? 2 Suppose -7*d + 3*d - 2*v = -134, 163 = 5*d - 2*v. Suppose -4*i + d = -i. List the prime factors of i. 11 Let j(a) = -a**2 - 1. Let b(n) = n**2 + n + 1. Let f(u) = -5*b(u) - 4*j(u). Let g be f(-4). Suppose 0 = -g*l - l + 8. What are the prime factors of l? 2 Suppose 0 = 15*b - 14*b - 20. What are the prime factors of b? 2, 5 Suppose 6*p = 5*p + 2. Suppose -p*m = 3*m. Suppose a - 26 = -2*f, -5*a + 3*f + 2 + 76 = m. List the prime factors of a. 2, 3 Let q = -22 + 36. List the prime factors of q. 2, 7 Suppose 0 = -2*i + 4*i - 3*m - 125, -3*i + 2*m = -200. List the prime factors of i. 2, 5, 7 Let i = 160 - 99. List the prime factors of i. 61 Let t be (3 + -2)/((-1)/(-20)). Suppose -3*k + 2*k + t = 0. What are the prime factors of k? 2, 5 Let h(t) = -t**3 + 5*t**2 + 9*t - 7. Let k be h(6). Let u = 1 - 6. Let n = u + k. List the prime factors of n. 2, 3 Let v be ((-1)/(-3))/((-8)/(-72)). Suppose 2*l = 7 + v. List the prime factors of l. 5 Let k = -51 + 113. What are the prime factors of k? 2, 31 Suppose -q + 12 + 4 = 0. List the prime factors of q. 2 Let v = 1 - -2. Suppose -l = 2*l - v. What are the prime factors of 1 - 0 - (l - 6)? 2, 3 Let o(b) = b - 2. Suppose -5*w = -4*d + 6, 5*w + 0*d + 5*d = 30. Let g be o(w). List the prime factors of (9/3 - g) + -1. 2 Let t be (-393)/(-12) + 5/20. Let y = -4 + t. What are the prime factors of y? 29 Suppose -c - 5*w = -17, -5*w + 5 = -10. List the prime factors of 5/2 + c/4. 3 Let y be ((-1 - 1) + -18)/(-1). Suppose 3*n - 23 = -0*n - p, y = 4*p. List the prime factors of n. 2, 3 Suppose 0 = -2*a + 122 + 146. Suppose -5*v + m = -a, 2*m + 4 = 6*m. List the prime factors of v. 3 Let k(s) = 2*s - 6. Let x(o) = -o**2. Let a be x(0). Suppose a = -0*u - 3*u + 12. What are the prime factors of k(u)? 2 Let i(p) = p - 1. Let x be i(1). Suppose 2*y + 2*y + 40 = x. Let n = -4 - y. List the prime factors of n. 2, 3 Suppose 5*j + a - 11 = 12, 2*a = 4*j - 24. Let r = 0 + j. Suppose -r*u + 16 = -29. What are the prime factors of u? 3 List the prime factors of (-5 - -6)/(2/142). 71 Suppose o - 2*j - 1 = -4*j, j = -5*o - 4. Let g = -1 + 7. Let v = g + o. List the prime factors of v. 5 Suppose 2*w + 4 = 5*b, 6 = -3*b - b - 3*w. Suppose -3*l + 55 = 2*l. Suppose 0 = o - b - l. What are the prime factors of o? 11 List the prime factors of 2472/60 + (-1)/5. 41 Let q(i) be the first derivative of -i**4/12 - 11*i**3/6 + 7*i**2 + 3*i + 2. Let g(c) be the first derivative of q(c). What are the prime factors of g(-11)? 2, 7 Let f(r) = -r**2 + 6*r. Let g(m) = 50*m + 0*m**2 - 27*m - 4*m**2. Let i(t) = 22*f(t) - 6*g(t). List the prime factors of i(4). 2 Let o = -6 + 8. Suppose o*t + 2*x = t - 3, 0 = -2*t - 3*x - 3. Suppose t*k + 2*j = 3*j + 46, -k = 3*j - 2. List the prime factors of k. 2, 7 Let v = 77 + -39. What are the prime factors of v? 2, 19 Let y(b) = 2*b**3 - 3*b**2 - 3*b. Suppose 0 = -5*k + k + 12. What are the prime factors of y(k)? 2, 3 Let y(r) = 2*r + 10. Suppose -6*i + 2*i = 0. List the prime factors of y(i). 2, 5 Suppose 5*b - 4 - 11 = 0. Suppose 4*q - 4 = b*q. Suppose -8 = 3*u - q*r, -u + 6 = -2*u + 2*r. List the prime factors of u. 2 Let s(w) = 5*w**2 + 2*w - 4. Let b(t) = -9*t**2 - 4*t + 7. Let r(f) = 6*b(f) + 11*s(f). List the prime factors of r(5). 13 Let n = -5 + 11. Let z be (4/6)/(n/171). Suppose -i = 4*a - z, -2*a = -i - 3 - 2. What are the prime factors of i? 3 Suppose -4*l - 2*s + 7*s - 29 = 0, 3*l + 22 = 4*s. What are the prime factors of (-5)/30 + (-103)/l? 17 Let a = -16 - -10. Let y = 2 - a. What are the prime factors of 6/(2 - 13/y)? 2 Suppose 0 = -0*s - 3*s + 18. Let x be (2 - (-1 + -1))*1. Let j = x + s. What are the prime factors of j? 2, 5 Suppose -64 = -0*p - 2*p. Suppose -53 = -5*x + p. List the prime factors of x. 17 Suppose 6*b = 3*b + 12. Suppose 9 = 2*o - 3. List the prime factors of o/b*(-8)/(-6). 2 Suppose 0 = 2*x - 17 - 7. List the prime factors of (-210)/x*(-36)/21. 2, 3, 5 Suppose -2*h + 4*o = -92, 11*h + 5*o - 275 = 6*h. List the prime factors of h. 2, 13 Let q be (-10)/(-6)*(2 - -1). Let s(g) = -g + q - g + g. List the prime factors of s(-5). 2, 5 Let z(r) = -r**2 - 4*r + 1. Suppose -11 = -c + 3*t - 29, 9 = 2*c + 3*t. What are the prime factors of z(c)? 2 Suppose -2*x = 4*o - x - 18, -5*o + 3*x + 31 = 0. List the prime factors of o. 5 Let u = 14 - 11. Suppose -u*c + 72 = 4*a, -c + 1 - 5 = 0. What are the prime factors of a? 3, 7 List the prime factors of 135/(-3*(-2)/(-18)*-3). 3, 5 Suppose -5*l - 121 = 2*p + 2*p, -2 = 2*l. Let o = p + 42. What are the prime factors of o? 13 Let g(y) = -y**2 + 9*y - 4. Let j be g(8). Suppose -4*s - 10 = -2, 4*l = j*s + 24. Let n = l + -1. What are the prime factors of n? 3 Let x(a) = a + 25. What are the prime factors of x(13)? 2, 19 Let o = 24 - -20. What are the prime factors of o? 2, 11 Let w = 38 - 17. What are the prime factors of w? 3, 7 Let i(t) = 5*t**2 - 1. Let y be i(1). Suppose -y*q + 4 = -n, 3*q - 5*n = q + 20. Suppose 0 = 2*g - 4 - q. List the prime factors of g. 2 Let v(l) = l - 4. Let k be v(8). Suppose -i + 100 = k*i. List the prime factors of i. 2, 5 Let n(c) = c**2 - 7*c - 1. Let b be n(7). Suppose -6 = -3*t - 0. List the prime factors of t + (-3 - b) + 11. 11 Let k = 18 - 11. Suppose k = -5*d + 177. List the prime factors of d. 2, 17 Suppose 0 = -4*s - 20, 3*r + 6*s = s + 242. What are the prime factors of r? 89 Let z(w) = -22*w**2 + 7*w - 4. Let f(t) = -11*t**2 + 3*t - 2. Let l(u) = -13*f(u) + 6*z(u). List the prime factors of l(-2). 2, 5 Let x = -1 + -3. Let v be (-7)/(3 + x)*4. Suppose -5*t - 2*y + 89 = -4*y, 3*y = -t + v. List the prime factors of t. 19 Suppose l = 3*n - 6 - 3, -3*l = 3*n - 9. Suppose -7 - 5 = n*d. List the prime factors of (15/(-5))/(2/d). 2, 3 Let m(v) = 2*
{ "pile_set_name": "DM Mathematics" }
s the common denominator of 67/1385074 and -37/66? 45707442 What is the lowest common multiple of 78 and 434742? 5651646 Find the common denominator of -17/10649790 and 54/25. 53248950 What is the smallest common multiple of 8368665 and 131790? 16737330 What is the common denominator of -137/85131540 and 19/12? 85131540 Calculate the common denominator of -65/98 and 113/69917526. 489422682 What is the lowest common multiple of 2281828 and 1? 2281828 What is the lowest common multiple of 92 and 135528? 3117144 Calculate the lowest common multiple of 2970 and 123310. 3329370 Calculate the lowest common multiple of 24420 and 1627186. 48815580 Calculate the lowest common multiple of 1862766 and 19359. 16764894 What is the common denominator of -7/37474 and -11/78147? 6408054 Calculate the smallest common multiple of 75316273 and 413. 527213911 Calculate the least common multiple of 204972 and 24. 409944 Calculate the least common multiple of 6188 and 13192. 1200472 Calculate the common denominator of -73/12041342 and -71/12. 72248052 What is the least common multiple of 22652334 and 157806? 249175674 Calculate the common denominator of 37/2241592 and 57/14570348. 29140696 Find the common denominator of -57/7957274 and -73/4284686. 55700918 Find the common denominator of -22/20645613 and 11/617074433. 5553669897 Calculate the smallest common multiple of 2380 and 1592220. 1592220 Calculate the common denominator of -1/720 and -1/391254. 46950480 Find the common denominator of 93/340718 and 101/4522. 110051914 What is the smallest common multiple of 768299 and 5? 3841495 Calculate the smallest common multiple of 5560 and 51072. 35495040 Calculate the common denominator of -121/270 and -149/1180680. 10626120 Calculate the lowest common multiple of 92639570 and 18527914. 92639570 What is the least common multiple of 4492 and 47896? 53787208 What is the common denominator of -17/35 and -61/662151? 3310755 What is the least common multiple of 112320 and 27440? 38525760 What is the smallest common multiple of 3750105 and 21? 26250735 Calculate the smallest common multiple of 54663440 and 416. 109326880 Find the common denominator of -45/907816 and 107/92278. 33589192 What is the common denominator of 197/34650 and 83/15700? 10880100 Find the common denominator of 71/546480 and -167/1150644. 207115920 What is the smallest common multiple of 66738 and 3106110? 705086970 What is the common denominator of -149/49237398 and 67/103945618? 935510562 Calculate the least common multiple of 22287470 and 500. 1114373500 Find the common denominator of -11/72 and -7/3338478. 13353912 Calculate the smallest common multiple of 20364 and 6364. 32399124 Calculate the least common multiple of 133120 and 2528. 10516480 Calculate the smallest common multiple of 15 and 49771200. 49771200 Calculate the least common multiple of 8950 and 506928. 12673200 What is the least common multiple of 4556 and 11720684? 785285828 Calculate the lowest common multiple of 20 and 43829058. 438290580 What is the common denominator of 149/5175186 and 59/532455? 1992446610 Calculate the lowest common multiple of 10300 and 35251750. 70503500 Calculate the common denominator of -89/140162 and -3/50968. 560648 Calculate the smallest common multiple of 25952 and 20316. 131810208 What is the common denominator of 29/122700 and -56/471? 19263900 Calculate the smallest common multiple of 60 and 57025100. 171075300 Calculate the common denominator of 67/128863988 and -23/2873468. 1675231844 Calculate the lowest common multiple of 408483 and 1497771. 4493313 Find the common denominator of 69/37770872 and -73/32810. 188854360 What is the smallest common multiple of 413 and 7246970? 50728790 What is the common denominator of -59/10015356 and 83/50685? 50076780 What is the common denominator of -157/17655820 and 19/2017808? 70623280 What is the smallest common multiple of 1053 and 6480? 84240 Calculate the common denominator of 97/16 and 61/3915600. 3915600 What is the smallest common multiple of 4044934 and 93576? 339774456 What is the lowest common multiple of 32450 and 12590600? 12590600 Calculate the common denominator of 65/24331828 and -97/7876. 267650108 Calculate the smallest common multiple of 900 and 2790. 27900 Calculate the smallest common multiple of 343896 and 24. 343896 Calculate the common denominator of 46/77 and -12/9264073. 101904803 Calculate the common denominator of 93/1537527124 and -49/20. 7687635620 Calculate the smallest common multiple of 4200 and 1433535. 401389800 Find the common denominator of 15/548048 and -21/16. 548048 Calculate the least common multiple of 220195968 and 193664. 220195968 Find the common denominator of -131/427924 and 19/119. 427924 Calculate the least common multiple of 508515 and 210. 1017030 What is the least common multiple of 9 and 884827? 7963443 What is the least common multiple of 187413 and 78? 4872738 Find the common denominator of -13/376 and -5/3607156. 7214312 What is the lowest common multiple of 113862 and 19019? 309363054 Calculate the lowest common multiple of 534312 and 12. 534312 Calculate the least common multiple of 23288700 and 75. 23288700 Calculate the smallest common multiple of 192622871 and 126. 3467211678 What is the lowest common multiple of 245710 and 30? 737130 Find the common denominator of 47/9803 and 67/385. 3774155 What is the lowest common multiple of 2760 and 54192? 6232080 What is the least common multiple of 266760 and 10374? 1867320 Calculate the lowest common multiple of 546 and 6825. 13650 Find the common denominator of -58/32115 and -2/5645817. 28229085 Calculate the common denominator of -85/106 and 17/384056. 20354968 Find the common denominator of 93/3080 and -13/238738808. 1193694040 Find the common denominator of -139/35238 and -65/6438. 37810374 Find the common denominator of -69/40 and -67/993636. 9936360 Calculate the common denominator of 38/1826209 and 109/332038. 3652418 Calculate the common denominator of -121/272160 and 173/5040. 272160 What is the common denominator of 25/66 and 109/1078830? 11867130 Find the common denominator of -151/39364902 and 61/742734. 39364902 Calculate the lowest common multiple of 55138 and 2646624. 2646624 What is the lowest common multiple of 20 and 3414072? 17070360 Calculate the common denominator of -23/31440 and 3/4993720. 29962320 Calculate the smallest common multiple of 630 and 1539000. 10773000 Calculate the common denominator of -181/18332496 and -79/1248. 36664992 Calculate the least common multiple of 11832 and 84711. 19652952 Find the common denominator of -50/189 and 47/15867684. 15867684 What is the least common multiple of 210 and 14741250? 103188750 Calculate the least common multiple of 4068 and 131364. 14844132 What is the smallest common multiple of 12068547 and 411? 1653390939 What is the smallest common multiple of 225558 and 8478? 35412606 What is the common denominator of -33/205940 and -23/9060? 93290820 What is the common denominator of 57/40007936 and 149/5706? 360071424 What is the least common multiple of 6597 and 5915310? 17745930 Find the common denominator of 143/28926 and -1/12702. 61236342 What is the smallest common multiple of 64 and 4497908? 71966528 What is the common denominator of 101/2360 and 167/1615656? 8078280 Calculate the smallest common multiple of 128520 and 1342320. 12080880 What is the common denominator of -37/931 and -30/1301671? 9111697 Find the common denominator of 33/29455 and 101/84230. 496198930 What is the least common multiple of 5863980 and 33? 64503780 Calculate the smallest common multiple of 5179325 and 8200. 41434600 What is the smallest common multiple of 466736 and 37200? 35005200 What is the common denominator of 89/60494 and 119/10728? 2177784 What is the lowest common multiple of 2156 and 1806896? 139130992 Calculate the lowest common multiple of 111676 and 64. 1786816 Calculate the least common multiple of 7995695 and 7995695. 7995695 Find the common denominator of 71/7852 and -43/37297. 149188 Calculate the least common multiple of 10214640 and 4993824. 224722080 What is the smallest common multiple of 17640 and 1658160? 1658160 Find the common denominator of -29/2682724 and 38/121. 29509964 What is
{ "pile_set_name": "DM Mathematics" }
t replacement from cocooocctc? 2/45 Four letters picked without replacement from yyttyyyyytyyyy. What is prob of sequence yyyt? 45/364 What is prob of sequence sys when three letters picked without replacement from {y: 10, s: 3, b: 2}? 2/91 Calculate prob of sequence ouq when three letters picked without replacement from {d: 1, q: 2, l: 2, c: 1, o: 1, u: 2}. 1/126 Two letters picked without replacement from {c: 1, e: 2, z: 1, p: 2, j: 1}. Give prob of sequence pe. 2/21 Two letters picked without replacement from fgfffffg. Give prob of sequence gg. 1/28 Three letters picked without replacement from {s: 1, z: 5, j: 5}. Give prob of sequence jzs. 5/198 Four letters picked without replacement from evcveevcevv. Give prob of sequence vcve. 2/99 Two letters picked without replacement from googgogoggoo. Give prob of sequence gg. 5/22 What is prob of sequence bw when two letters picked without replacement from {u: 3, o: 5, w: 1, b: 1}? 1/90 Two letters picked without replacement from {f: 3, q: 1, w: 7, g: 6}. What is prob of sequence fg? 9/136 What is prob of sequence jo when two letters picked without replacement from {j: 13, o: 6}? 13/57 Calculate prob of sequence fp when two letters picked without replacement from gggggfggggggpjg. 1/210 Three letters picked without replacement from {r: 1, m: 2, s: 1, y: 1, g: 1, b: 1}. What is prob of sequence yrm? 1/105 What is prob of sequence bbv when three letters picked without replacement from vwdbbffdff? 1/360 Two letters picked without replacement from uut. Give prob of sequence tu. 1/3 What is prob of sequence ee when two letters picked without replacement from {k: 3, e: 12}? 22/35 Two letters picked without replacement from jnhjggnhnnhigignngjg. Give prob of sequence in. 3/95 Three letters picked without replacement from rzmnzkkzmktr. Give prob of sequence kzm. 3/220 Calculate prob of sequence lsc when three letters picked without replacement from {l: 3, s: 4, c: 1}. 1/28 Three letters picked without replacement from gggrxgiggggrgggggig. What is prob of sequence rxg? 14/2907 What is prob of sequence rx when two letters picked without replacement from xaaaaaaaerraaaxa? 1/60 Two letters picked without replacement from gogwgggggggogvggg. What is prob of sequence wo? 1/136 Calculate prob of sequence lv when two letters picked without replacement from {a: 6, v: 4, l: 1}. 2/55 Four letters picked without replacement from {i: 11, g: 2, f: 1, t: 2, x: 3}. Give prob of sequence xxgf. 1/7752 Calculate prob of sequence xxm when three letters picked without replacement from exxxxxgxxmgmxexxmeee. 3/76 Two letters picked without replacement from {x: 2, q: 2, y: 1}. What is prob of sequence qy? 1/10 Four letters picked without replacement from uquueeuquueqeeuue. Give prob of sequence qqeu. 3/595 Calculate prob of sequence ip when two letters picked without replacement from {p: 14, i: 1}. 1/15 Two letters picked without replacement from oocococooco. What is prob of sequence cc? 6/55 What is prob of sequence ox when two letters picked without replacement from {x: 4, z: 3, p: 1, u: 6, o: 2}? 1/30 Two letters picked without replacement from tulltllueu. Give prob of sequence ue. 1/30 What is prob of sequence qq when two letters picked without replacement from nhhhznhqhhhhzqnnhnhn? 1/190 Calculate prob of sequence lo when two letters picked without replacement from hwnonnwlwwolojwnwll. 2/57 Four letters picked without replacement from {q: 1, r: 2, p: 4, t: 2}. Give prob of sequence tqrt. 1/756 Two letters picked without replacement from {m: 5, j: 3, o: 2, z: 3}. Give prob of sequence oz. 1/26 Three letters picked without replacement from gqjqf. What is prob of sequence qjq? 1/30 Three letters picked without replacement from oondonooodennnnno. Give prob of sequence dno. 49/2040 Four letters picked without replacement from lbbykyybbwbss. What is prob of sequence kysy? 1/1430 Calculate prob of sequence pm when two letters picked without replacement from pooppmpop. 5/72 Calculate prob of sequence jt when two letters picked without replacement from jcjtj. 3/20 Calculate prob of sequence xkhg when four letters picked without replacement from {s: 2, k: 5, x: 1, g: 1, h: 1}. 1/1008 Two letters picked without replacement from vzkpq. What is prob of sequence pq? 1/20 What is prob of sequence kkk when three letters picked without replacement from {z: 3, c: 1, m: 4, k: 3}? 1/165 Three letters picked without replacement from yuuyuuyuuyyuy. What is prob of sequence uuy? 21/143 Calculate prob of sequence sm when two letters picked without replacement from {c: 7, s: 3, m: 3}. 3/52 Calculate prob of sequence oyi when three letters picked without replacement from {y: 1, i: 3, o: 1, j: 2, v: 6}. 1/572 Three letters picked without replacement from bebebebbbbebbbebeeb. Give prob of sequence bbe. 154/969 Calculate prob of sequence mbcz when four letters picked without replacement from zczmb. 1/60 Three letters picked without replacement from rrdgddddddrphddhddp. Give prob of sequence rdr. 11/969 What is prob of sequence eme when three letters picked without replacement from eccmmmmecmmccaaacmmc? 2/855 What is prob of sequence ns when two letters picked without replacement from ottsbnbo? 1/56 Four letters picked without replacement from {h: 16, y: 4}. What is prob of sequence yhhh? 112/969 Two letters picked without replacement from {f: 1, b: 11, g: 1, e: 1, s: 1}. Give prob of sequence ge. 1/210 Three letters picked without replacement from fvvf. Give prob of sequence fvf. 1/6 Three letters picked without replacement from maauusuutuat. Give prob of sequence tat. 1/220 Calculate prob of sequence ssa when three letters picked without replacement from ngsaaiiasgngi. 1/286 Calculate prob of sequence qqq when three letters picked without replacement from {l: 3, q: 11}. 165/364 Calculate prob of sequence crcx when four letters picked without replacement from {m: 2, i: 4, n: 1, x: 3, r: 3, c: 2}. 1/1820 Two letters picked without replacement from {l: 3, t: 1, s: 3, h: 8, b: 5}. What is prob of sequence sb? 3/76 Calculate prob of sequence vvtt when four letters picked without replacement from {v: 3, t: 3}. 1/10 Four letters picked without replacement from khhttttkthhht. Give prob of sequence khht. 2/143 What is prob of sequence hl when two letters picked without replacement from nllhhhnh? 1/7 Calculate prob of sequence dmr when three letters picked without replacement from rryccdcrccrm. 1/330 Two letters picked without replacement from wznzzzwwwhdzwzdnwz. What is prob of sequence dz? 7/153 Calculate prob of sequence ni when two letters picked without replacement from {n: 1, i: 14}. 1/15 What is prob of sequence hdk when three letters picked without replacement from {k: 1, h: 1, d: 1, e: 1, o: 4}? 1/336 Calculate prob of sequence hssl when four letters picked without replacement from {l: 1, h: 8, s: 2, g: 1, t: 2}. 2/3003 Three letters picked without replacement from {i: 3, z: 7, g: 2}. Give prob of sequence izi. 7/220 Calculate prob of sequence rl when two letters picked without replacement from bbraagqbqla. 1/110 What is prob of sequence ooq when three letters picked without replacement from {s: 1, n: 2, o: 2, f: 3, l: 1, q: 3}? 1/220 Four letters picked without replacement from tmmsmttmttsmtmtm. Give prob of sequence tmmt. 21/520 Three letters picked without replacement from {d: 10, w: 2}. Give prob of sequence wdw. 1/66 What is prob of sequence xb when two letters picked without replacement from xbg? 1/6 Calculate prob of sequence kd when two letters picked without replacement from {d: 4, k: 3}. 2/7 Calculate prob of sequence cfi when three letters picked without replacement from siifsmmfsfcmfffimf. 7/1632 Four letters picked without replacement from {r: 5, v: 4, s: 2, a: 4}. What is prob of sequence vvvs? 2/1365 Three letters picked without replacement from {r: 7, z: 5}. Give prob of sequence zrr. 7/44 Calculate prob of sequence fu when two letters picked without replacement from {f: 7, m: 4, b: 4, u: 3}. 7/102 What is prob of sequence mm when two letters picked without replacement from {i: 1, m: 5, j: 11}? 5/68 Calculate prob of sequence kkkw when four letters picked without replacement from {w: 2, k: 3}. 1/10 Calculate prob of sequence ss when t
{ "pile_set_name": "DM Mathematics" }
3*h. -2*h Collect the terms in -57*m + 41*m + 52*m. 36*m Collect the terms in 896*q**2 - 1775*q**2 + 893*q**2. 14*q**2 Collect the terms in 3*c - c + 0*c - c. c Collect the terms in -2*q**3 + 6*q**3 - 5*q**3 + 0*q**3. -q**3 Collect the terms in -90*a**2 + 190*a**2 - 107*a**2. -7*a**2 Collect the terms in -9*x**3 + 4*x**3 + 17*x**3 + 2*x**3. 14*x**3 Collect the terms in -2*m + 3*m - 4*m + 8*m. 5*m Collect the terms in -15*r + 10*r + 9*r + 3*r + 4*r. 11*r Collect the terms in -15*y + 13*y + 4*y**3 + 2*y. 4*y**3 Collect the terms in -25*h - 26*h + 52*h. h Collect the terms in -c + 2*c**2 - 4*c**2 + 8*c. -2*c**2 + 7*c Collect the terms in 32*k + 43*k + 14*k. 89*k Collect the terms in 3*l - 4*l + 6*l. 5*l Collect the terms in -198*r - 2*r**2 + 257*r + r**2. -r**2 + 59*r Collect the terms in 60 - 60 + 20*i. 20*i Collect the terms in -2 - 28*s + 5 - 22*s. -50*s + 3 Collect the terms in 4*f**3 + 20*f**3 - 7*f**3. 17*f**3 Collect the terms in -y**2 - 1 + 6*y**2 + 1. 5*y**2 Collect the terms in -1002791 - 2*q + 1002791. -2*q Collect the terms in 35*q**2 - 64*q**2 + 34*q**2. 5*q**2 Collect the terms in -28783*b + 13443*b - 19143*b. -34483*b Collect the terms in -244*z**3 + 468*z**3 - 228*z**3. -4*z**3 Collect the terms in -103 - 63*d**2 + 211 - 108. -63*d**2 Collect the terms in 261 - 8*z + 263 - 524. -8*z Collect the terms in -63*t**2 - 130*t**2 + 2 + 0. -193*t**2 + 2 Collect the terms in -4*x - 11*x - 9*x. -24*x Collect the terms in 5*o**3 + 18*o**3 - 21*o**3. 2*o**3 Collect the terms in -36*q**3 + 48*q**3 - 25*q**3. -13*q**3 Collect the terms in 3068 + 51*j - 3068. 51*j Collect the terms in 6*s**3 + 7*s**3 + 39*s**3 - 5*s**3. 47*s**3 Collect the terms in 7 + 17*j**2 - 14*j**2 - 7. 3*j**2 Collect the terms in 38*g**2 + 33*g**2 - 104*g**2 + 25*g**2. -8*g**2 Collect the terms in 4*w + 7*w + w - 23*w + 6*w. -5*w Collect the terms in -131*g**2 + 244*g**2 - 112*g**2. g**2 Collect the terms in 28*x**2 - 2*x + 33*x**2 + 26*x**2. 87*x**2 - 2*x Collect the terms in -2636 + 2636 - x**3. -x**3 Collect the terms in -2*h**2 - 2*h**2 - 3*h**2 + 5*h**2. -2*h**2 Collect the terms in -792*n**2 - 789*n**2 + 1585*n**2. 4*n**2 Collect the terms in 1234*g**2 + 1233*g**2 + 1241*g**2 - 3707*g**2. g**2 Collect the terms in -213*b - 663 + 663. -213*b Collect the terms in b**3 - b**3 - 9*b**3 + 14*b**3. 5*b**3 Collect the terms in -263*v + 243*v - 5 + 5. -20*v Collect the terms in 11*n**2 - 6*n**2 - 13*n**2 - 12*n**2. -20*n**2 Collect the terms in -9 + 31*w**3 + 9. 31*w**3 Collect the terms in 3*o**3 - 5*o**3 - 12*o**3 + 6*o**3. -8*o**3 Collect the terms in -d + 151*d**3 + d. 151*d**3 Collect the terms in 7*r - 3*r - 13*r - 7*r. -16*r Collect the terms in 9*p + 4*p - 20*p. -7*p Collect the terms in -151*g**3 - 13*g**2 + 13*g**2. -151*g**3 Collect the terms in 279*d - 137*d - 148*d. -6*d Collect the terms in 2*i**3 - 2*i**3 - 7*i**3. -7*i**3 Collect the terms in -7*t**2 + 11 - 11. -7*t**2 Collect the terms in -37 + 37*p - 103*p + 37. -66*p Collect the terms in 3 - 537*v**3 - 3 + 529*v**3. -8*v**3 Collect the terms in 0*k**3 - k**3 + k**2 - k**3. -2*k**3 + k**2 Collect the terms in -9*f + 29*f - 9*f - 12*f. -f Collect the terms in -2*n**3 + 5*n**3 + 0*n**3. 3*n**3 Collect the terms in 56*l + 11*l - 17*l + 42*l. 92*l Collect the terms in 4*c**3 + c**2 + 8*c**2 - 9*c**2 + 0*c**3. 4*c**3 Collect the terms in -3 - 4 + 7 - 26*j. -26*j Collect the terms in -1395*b**2 + 693*b**2 + 699*b**2. -3*b**2 Collect the terms in 4*u**2 - 2*u**2 + 22*u**2 - 7*u**2. 17*u**2 Collect the terms in -14 + 7*v**3 + 34 - 20. 7*v**3 Collect the terms in -1097*f**2 + 2191*f**2 - 1096*f**2. -2*f**2 Collect the terms in -5 + 5 + 9*g - 20*g. -11*g Collect the terms in 147*d**2 - 2 + 2. 147*d**2 Collect the terms in -190*m + 68*m + 64*m + 60*m. 2*m Collect the terms in -67 - 4*l + 4*l**3 + 67. 4*l**3 - 4*l Collect the terms in -12*w + w + 9*w. -2*w Collect the terms in 0*r + 414*r**3 - 438*r**3 + 0*r. -24*r**3 Collect the terms in y**3 + 9 + 18 - 27 + y**3. 2*y**3 Collect the terms in -509*t**2 + 102*t**2 - 988*t**2. -1395*t**2 Collect the terms in 5*o**3 + 6*o**3 - o**3. 10*o**3 Collect the terms in -17 - 4*l**2 + l**3 - 6 + 4*l**2. l**3 - 23 Collect the terms in -2*s**2 - 3*s**2 - 4*s**2 + 2*s**2. -7*s**2 Collect the terms in -316*y - 1111*y - 126*y. -1553*y Collect the terms in 3 + 70*v - 3 - 36*v - 35*v. -v Collect the terms in -12*t**3 - 9*t**3 + 19*t**3. -2*t**3 Collect the terms in -25*s**2 - 17*s**2 + 59*s**2 - 21*s**2. -4*s**2 Collect the terms in 10*m**2 + 2579 - 2579. 10*m**2 Collect the terms in 73*d**2 - 73*d**2 + 27*d**3 - 26*d**3. d**3 Collect the terms in 9 - 8*k + 10 - 19. -8*k Collect the terms in -250*n**3 + 2 + 0 - 2 + 242*n**3. -8*n**3 Collect the terms in -384*y**2 - 331*y**2 + 716*y**2. y**2 Collect the terms in 21*b**3 - 9*b**3 + 13*b**3. 25*b**3 Collect the terms in -2*s**2 - 123302*s + 123302*s. -2*s**2 Collect the terms in 32*f - 30*f + 13*f. 15*f Collect the terms in 77*p**2 - 24*p**2 - 24*p**2 - 27*p**2. 2*p**2 Collect the terms in -2*b - 12*b**2 + 5*b**2 + 2*b. -7*b**2 Collect the terms in 37*b**2 - b**2 + 3*b**2. 39*b**2 Collect the terms in -r**2 + 3*r - 7*r + 4*r. -r**2 Collect the terms in 3*h**3 + 2*h**3 + 2*h**3 - 4*h**3 + h**3. 4*h**3 Collect the terms in -17*f**2 + 0*f**2 + 15*f**2. -2*f**2 Collect the terms in z + 2 - 2 + 0*z + 4*z. 5*z Collect the terms in -28*r**3 + 15*r**3 + 33*r**3. 20*r**3 Collect the terms in b**3 + 725293 - 725293. b**3 Collect the terms in -11*s - 14*s**3 + 0*s + 4*s + 7*s. -14*s**3 Collect the terms in 794*c**3 - 994*c**3 + 4396*c**3. 4196*c**3 Collect the terms in -2159*r + 2159*r - 4*r**2. -4*r**2 Collect the terms in -316*i + i**2 + 316*i. i**2 Collect the terms in -z**2 + 11 - 7*z**2 - 3 + 0*z**2. -8*z**2 + 8 Collect the terms in -6 + 6 - 59*g + 69*g. 10*g Collect the terms in g + 8874 - 8874. g Collect the terms in -34*y**3 + 70*y**3 - 37*y**3. -y**3 Collect the terms in 400*j - 129*j - 138*j - 127*j. 6*j Collect the terms in -4*l**3 - 2*l**3 + 470*l**2 - 470*l**2. -6*l**3 Collect the terms in -30*g - 15*g + 6*g. -39*g Collect the terms in -2*l - 3 - 11 + l. -l - 14 Collect the terms in 1 + 9*h - 3 - 2 + 4. 9*h Collect the terms in -346*o - 13 + 13. -346*o Collect the terms in -2*k - 12*k - 9*k + 26*k. 3*k Collect the terms in 4*i**3 - 5*i**3 + i**3 - i**3 + 118*i. -i**3 + 118*i Collect the terms in 67*c**3 - 23*c**3 - 20*c**3 - 21*c**3. 3*c**3 Collect the terms in -l - l - 51 + 5*l. 3*l - 51 Collect the terms in -10*g**3 + 245*g + 2*g**3 - 246*g. -8*g**3 - g Collect the terms in -30*k + 25*k + 17*k. 12*k Collect the terms in -31*w**2 + 48*w**2 - 16*w**2. w**2 Collect the terms in -27*s**2 + 3*s + 1 - 3*s. -27*s**2 + 1 Collect the terms in 18*i**2 - 269*i**2 + 29*i**2. -222*i**2 Collect the terms in 11*a**3 - 13*a**3 - 18*a**3. -20*a**3 Collect the terms in -101*j**3 + 49*j**3 + 56*j**3. 4*j**3 Collect the terms in 130*t - 243*t + 117*t. 4*t Collect the terms in -7 - g - g - 8 + 0. -2*g - 15 Collect the terms in 68 - 12*r + 58 - 126. -12*r Collect the terms in -h - 1598*h**2 - h + 2*h. -1598*h**2 Collect the terms in -339*t**2 + 158*t**2 - 512*t**2. -693*t**2 Collect the terms in -32*v - 1200 + 1200. -32*v Collect the terms in -40*p - 31*p - 54*p + 3*p**2 - 2*p. 3*p**2 - 127*p Collect the terms in -39*a**2 + 45*a**3 + 39*a**2. 45*a**3 Collect the terms in 59*d + 58*d - 121*d. -4*d Collect the terms in -3 - 21*x**2 - 7*x**2 + 26*x**2. -2*x**2 - 3 Collect the terms in -18764 + 18764 - 192*v**3. -192*v**3 Collect the terms in 107 + 5*w**2 - 11*w**2 - 4*w**2 + 8*w**2. -2*w**2 + 107 Collect the terms in 153*y**2 + 2 - 2. 153*y**2 Collect the terms in 43*q**2 + q + 0*q - 27*q**2. 16*q**2 + q Collect the terms in 0*d + 0*d + 15*d**2 + 18*d**2. 33*d**2 Collect the terms in 54995*u - 1 - 54995*u - 8*u**3 + 1. -8*u**3 Collect the terms in 7*n**2 + 11*n**2 - 17*n**2. n**2 Collect the terms in 18*m**3 - 8*m**3 + 12*m**3 + 6*m**3. 28*m**3 Collect the terms in -1 + 648*z**2 - 633*z**2 + 1. 15*z**2 Collect the terms in -3*u**3 - 57*u - 59*u + 165*u - 49*u. -3*u**3 Collect the terms in 607*s**2 - 607*s**2 - 3*s**3. -3*s**3 Collect the terms in -1 - 29*a**3 + 13*a**3 + 17*a**3. a**3 - 1 Collect the terms in 186*t**2 - 377*t**2 + 186*t**2. -5*t**2 Collect
{ "pile_set_name": "DM Mathematics" }
= 88*g + 32 for g. -4 Solve 44*s + 64 = 28*s for s. -4 Solve 0 = -29*t + 26*t - 15 for t. -5 Solve -45*n + 10 = 10 for n. 0 Solve 3 = -6*l - 21 for l. -4 Solve -57*a = 9 + 447 for a. -8 Solve -14*h + 144 = 10*h for h. 6 Solve 2*n = -6*n - 2*n for n. 0 Solve 6*r = 3*r + 6 for r. 2 Solve 0 = -223*g + 204*g for g. 0 Solve -68*b = -64*b for b. 0 Solve 78*w - 80*w - 2 = 0 for w. -1 Solve -37*p - 10 = -84 for p. 2 Solve -359 = -4*x - 363 for x. -1 Solve 8 = -27*a - 19 for a. -1 Solve 504 - 48 = 57*b for b. 8 Solve -57 + 25 = 8*v for v. -4 Solve 166 - 126 = 10*g for g. 4 Solve 26 = n + 22 for n. 4 Solve 0 = 174*y - 175*y + 9 for y. 9 Solve 16*w = -718 + 606 for w. -7 Solve -76*q + 114 = -57*q for q. 6 Solve -90 = 18*s + 18 for s. -6 Solve -26*z + 149 + 111 = 0 for z. 10 Solve 0 = -5*m + 9*m - 20 for m. 5 Solve 0 = 8*b - 6*b + 10 for b. -5 Solve 12*b - 33 = -117 for b. -7 Solve -8*q + 13*q + 5 = 0 for q. -1 Solve -8*c + 3*c = -15 for c. 3 Solve -89 = -4*f - 69 for f. 5 Solve a - 25 = -27 for a. -2 Solve 0 = 5*o - 2 + 22 for o. -4 Solve -844 = 9*q - 898 for q. 6 Solve 0 = 15*n + 35 + 115 for n. -10 Solve 10*t = 7*t - 3 for t. -1 Solve 3*x - 85 = -76 for x. 3 Solve 3*u + 18 - 9 = 0 for u. -3 Solve 6 + 19 = -5*c for c. -5 Solve 14*k - 32 = 6*k for k. 4 Solve -15*b + 25 = -35 for b. 4 Solve -9*g + 19 = 10 for g. 1 Solve 6 = -7*n + 20 for n. 2 Solve -6 + 1 = 5*h for h. -1 Solve 11*m - 14*m = -12 for m. 4 Solve 6*w = 16 + 8 for w. 4 Solve -7*l = -0*l - 14 for l. 2 Solve 11*p = 17*p - 24 for p. 4 Solve 0 = -43*m + 24*m + 76 for m. 4 Solve 1 = -2*b - 5 for b. -3 Solve -18*h + 53 = -73 for h. 7 Solve -12*i = -44*i for i. 0 Solve 21*c + 205 = 100 for c. -5 Solve 18 = 2*m + 4*m for m. 3 Solve -5288*w = -5300*w + 36 for w. 3 Solve 0 = -157*x + 169*x + 96 for x. -8 Solve 15 - 15 = -5*t for t. 0 Solve 367*y - 3 = 368*y for y. -3 Solve 0 = -3*i + 8*i + 30 for i. -6 Solve -14 = 3*j + 1 for j. -5 Solve c + 5*c = 30 for c. 5 Solve -w + 13 = 16 for w. -3 Solve 9*x - 50 = -x for x. 5 Solve 0 = 39*g - 35*g for g. 0 Solve -20*y + 14*y = 18 for y. -3 Solve -11*t + 999 = 955 for t. 4 Solve 4 = -3*s + s for s. -2 Solve -59 - 65 = -31*k for k. 4 Solve -150*o + 144*o = 54 for o. -9 Solve -538 + 506 = -4*h for h. 8 Solve 0 = 5*z + 2*z - 2*z for z. 0 Solve -3*n = 26 - 14 for n. -4 Solve 24 = 6*r + 12 for r. 2 Solve -60 = -15*r + 60 for r. 8 Solve -27*x = -15*x - 12 for x. 1 Solve -97 - 127 = -56*x for x. 4 Solve 7*w = 23*w - 16 for w. 1 Solve -3*c + 16 = 5*c for c. 2 Solve 0 = -11*s + 614 - 537 for s. 7 Solve 1219*k = 1211*k - 56 for k. -7 Solve 74*t + 34 = 57*t for t. -2 Solve 0 = -10*j + 6*j for j. 0 Solve 5*j - 649 = -664 for j. -3 Solve 35*z - 75 = -320 for z. -7 Solve 42*m - 351 = 3*m for m. 9 Solve -6*w = -13*w + 4*w for w. 0 Solve 47*x = -27 - 67 for x. -2 Solve -34 = 67*t - 235 for t. 3 Solve 47*t = 11*t - 108 for t. -3 Solve 13*j - 21*j = 0 for j. 0 Solve -9*i + 25 = -4*i for i. 5 Solve 95*x + 219 = -66 for x. -3 Solve r + 0 = -1 for r. -1 Solve 2*c + 72 = 64 for c. -4 Solve 0 = 4*g - 11*g + 2*g for g. 0 Solve 4*u - u - 6 = 0 for u. 2 Solve 0 = 37*n - 2 - 35 for n. 1 Solve 0 = 53*u + 50 + 3 for u. -1 Solve 13 = 13*z - 0 for z. 1 Solve 0 = 17*f + 4*f - 63 for f. 3 Solve 0 = -7*a - 60 + 74 for a. 2 Solve 3*i + 32 = 26 for i. -2 Solve t - 43 + 49 = 0 for t. -6 Solve -38*s - 108 = -20*s for s. -6 Solve -83 + 88 = -w for w. -5 Solve 7*b = 6*b + 2 for b. 2 Solve 4 = -8*p + 7*p for p. -4 Solve -6*g = -56 + 68 for g. -2 Solve 12*l + 44 = l for l. -4 Solve 18*g = 32 + 22 for g. 3 Solve 0*b = -6*b + 2*b for b. 0 Solve -126*b - 36 = -135*b for b. 4 Solve -7*m - 748 + 783 = 0 for m. 5 Solve -18 - 18 = -12*f for f. 3 Solve 3*g + 137 = 125 for g. -4 Solve -41 - 3 = 11*o for o. -4 Solve 6*d + 2*d - 40 = 0 for d. 5 Solve 0 = 7*o + 13 + 22 for o. -5 Solve 11*i = 8 + 47 for i. 5 Solve 0 = -l - 15 + 18 for l. 3 Solve 14 - 2 = -12*z for z. -1 Solve 109*f - 64*f = 135 for f. 3 Solve -65 = -44*y + 67 for y. 3 Solve 29*r - 33*r = 16 for r. -4 Solve -8 = m + m for m. -4 Solve 26 = -5*i + 6 for i. -4 Solve -140 = 23*h + 21 for h. -7 Solve 0 = 19*r + 169 + 40 for r. -11 Solve -44*u = -42*u + 4 for u. -2 Solve -7*c - 348 = -369 for c. 3 Solve 12 = t + 7 for t. 5 Solve -10*k = -3*k for k. 0 Solve 0*z = 4*z + 16 for z. -4 Solve 195 - 185 = -5*p for p. -2 Solve 6*y + 1 = 31 for y. 5 Solve 6 + 30 = 6*n for n. 6 Solve -16*l - 6*l - 176 = 0 for l. -8 Solve 2*c + 1 = 3*c for c. 1 Solve 28*f = 107*f + 158 for f. -2 Solve 3*s - 87 = -108 for s. -7 Solve 4*o = -33 + 17 for o. -4 Solve 0 = -8*c + 12*c + 12 for c. -3 Solve -8*y = -5*y + 6 for y. -2 Solve -24*k - 14*k = -38 for k. 1 Solve -6*i + 3*i = 21 for i. -7 Solve 23*c = 10*c for c. 0 Solve -269*j + 273*j - 44 = 0 for j. 11 Solve 2*i - 56 = -48 for i. 4 Solve 35*s - 39*s = -20 for s. 5 Solve -53*y = -21*y - 192 for y. 6 Solve -73*m = -85*m - 48 for m. -4 Solve -59*k + 58*k - 4 = 0 for k. -4 Solve 50*f + 279 = 79 for f. -4 Solve -5*t + 2*t + 9 = 0 for t. 3 Solve 2*j - 26*j + 192 = 0 for j. 8 Solve -51 = 21*k - 240 for k. 9 Solve 134 = 4*j + 162 for j. -7 Solve -2*v + 3*v = 2*v for v. 0 Solve 22*d - 2 = -68 for d. -3 Solve 85 = 8*f + 101 for f. -2 Solve -4*q + 114 - 130 = 0 for q. -4 Solve 21*j - 88 - 38 = 0 for j. 6 Solve 0 = 46*d - 16*d + 180 for d. -6 Solve -4*m - 6*m = -10 for m. 1 Solve 8*f + 11 = 3 for f. -1 Solve -16*n + 5*n = 0 for n. 0 Solve 0 = -27*c - 279 + 360 for c. 3 Solve -60*l - 85*l = 145 for l. -1 Solve 0 = -7*j + 9*j for j. 0 Solve 131*k + 154 = 109*k for k. -7 Solve -222 = 54*i + 102 for i. -6 Solve -6 + 6 = 38*u for u. 0 Solve -31*m = -37*m + 36 for m. 6 Solve -7*b + 47 = 61 for b. -2 Solve 22*c - 9*c = -91 for c. -7 Solve 108*v + 46 = 154*v for v. 1 Solve 6*h + 25 - 43 = 0 for h. 3 Solve -66*d + 65*d - 4 = 0 for d. -4 Solve 8*z = -5 - 19 for z. -3 Solve -2 = -i - 9 for i. -7 Solve 0 = 28*j - 29*j + 1 for j. 1 Solve -7*m + 59 = 24 for m. 5 Solve 0 = 43*p - 64 + 365 for p. -7 Solve 10 = -3*z - 7*z for z. -1 Solve -14 - 10 = -8*o for o. 3 Solve 1630*j - 1625*j = -25 for j. -5 Solve -2 = -2*z - 8 for z. -3 Solve -4*j = -j - 25*j for j. 0 Solve -68 = -265*g + 282*g for g. -4 Solve -5*b + 33 = 23 for b. 2 Solve 5*p = 6*p - 5 for p. 5 Solve 24*h = 4*h + 60 for h. 3 Solve -27 = 11*p - 20*p for p. 3 Solve -11*v = 1 + 43 for v. -4 Solve -9*w + 18 + 18 = 0 for w. 4 Solve 25*i = 23 + 127 for i. 6 Solve 0 = -2425*i + 2418*i - 42 for i. -6 Solve 0 = -7*r - 38 + 17 for r. -3 Solve 32*h + 9 = 35*h for h. 3 Solve x + x - 10 = 0 for x. 5 Solve 35 = 4*b + 67 for b. -8 Solve 0 = 6*y + 8*y + 28 for y. -2 Solve 69*w = 28*w + 369 for w. 9 Solve -62*x = -65*x - 15 for x. -5 Solve 0 = -35*a - 266 - 49 for a. -9 Solve -13 + 45 = 8*q for q. 4 Solve 269*k - 273*k = 32 for k. -8 Solve 76 - 85 = 9*q for q. -1 Solve 21*x - 278 = -194 for x. 4 Solve 8*b + 7 = 31 for b. 3 Solve -31*b + 92*b = 183 for b. 3 Solve -267*y = -236*y - 248 for y. 8 Solve 0 = -10*t + 2*t - 8 for t. -1 Solve 187 = 29*z + 129 for z. 2 Solve 0 = 2*q - 7 + 5 for q. 1 Solve t = 3*t - 7*t for t. 0 Solve -9 = -3*n - 0*n for n. 3 Solve -68*g + 74*g = -18 for g. -3 Solve -10 - 36 = -23*x for x. 2 Solve -9*v + 20 + 7 = 0 for v. 3 Solve 3*u = 1 - 4 for u. -1 Solve -5*x + 4 = 24 for x. -4 Solve -83 + 943 = -86*j for j. -10 Solve 34*x + 85 = -119 for x. -6 Solve -7*h - 2 = -5*h for h. -1 Solve 3*g - 3 = 4*g for g. -3 Solve -2*h - 15 = -5*h for h. 5 Solve -31*h + 112 = -17*h for h. 8 Solve 50*i + 47*i = 97 for i. 1 Solve -8*t - 12 = -11*t for t. 4 Solve -12 = -31*h + 34*h for h. -4 Solve 0 = -6*v + 11*v for v. 0 Solve -10*d + 50 = 110 for d. -6 Solve 84*g - 12 = 87*g for g. -4 Solve -350 = 14*h - 392 for h. 3 Solve 2060*h = 2052*h for h. 0 Solve -3*w + 1 - 4 = 0 for w. -1 Solve 138 = 24*z - 47*z for z. -6 Solve -28*t + 37*t = -18 for t. -2 Solve -2*u + 5 = 3 for u. 1 Solve -150 = 57*b - 7*b for b. -3 Solve 10*j - 9*j = 1 for j. 1 Solve -20 = -8*o - 36 for o. -2 Solve 8 = -4*u - 8 for u. -4 Solve -7*k - 23 + 2 = 0 for k. -3 Solve 11*w - 18*w = 28 for w. -4 Solve 9*y = 41 - 50 for y. -1 Solve -2*a - 8 = -0*a for a. -4 Solve 732 = 4*a + 700 for a. 8 Solve 9*i - 4*i - 10 = 0 for i. 2 Solve -5 = -r - 3 for r. 2 Solve 141*f = 130*f + 11 for f. 1 Solve 11*v - 329 + 373 = 0 for v. -4 Solve -6*z = -180 + 156
{ "pile_set_name": "DM Mathematics" }
8 + 5)*(-1)/(-8). Let y = 5/24 + m. Which is the smallest value? (a) y (b) u (c) -5 c Let q be (-402)/(-16)*(-2 - -1). Let n = 25 + q. Let l = 12.22 + -12.72. What is the biggest value in n, -1/5, l? n Let q be (4/12)/(6/(-27)). Let o = -60 + 59. Which is the third smallest value? (a) 6 (b) o (c) 1 (d) q c Let z be 21/28*1064/(-91). What is the smallest value in z, 0.5, -1/6, -2/9? z Let q = 7024.2 + -7024. Which is the smallest value? (a) -62.3 (b) 3 (c) q (d) -0.1 a Let v be (-3 - 153/(-34))/(-1 - (-34)/36). Which is the biggest value? (a) -1/11 (b) v (c) -6 (d) 2/7 d Let d = 435.8 - 436. What is the second smallest value in -2, 59, d? d Let t be (-4 - 351) + 3 + 2. Let x = 352 + t. Which is the fourth smallest value? (a) -4 (b) x (c) 0.79 (d) -2 b Let p = -7/67 - -225/871. Which is the second biggest value? (a) 0.01 (b) -4 (c) -2/3 (d) 0 (e) p a Let w = -104.27 - -103.27. Which is the second smallest value? (a) -212 (b) w (c) 10 b Let t = -4284 - -4283. What is the smallest value in 44, t, -2? -2 Let g be ((-18)/(-60))/((-12)/(-16)). Which is the second smallest value? (a) -5 (b) g (c) -0.06 (d) -0.2 d Suppose -2 - 2 = -r - i, -3*r + 28 = -i. Suppose -2*d - r*k = -7*k - 122, -4*k = -3*d + 172. Which is the third smallest value? (a) -1/5 (b) d (c) 0 b Let f = 183 - 103. Let n = f - 79.6. Let r be -1*(-1 - (-8)/6). Which is the third smallest value? (a) r (b) -2 (c) -3/2 (d) n a Let r be 4/46 - (-105378)/217511 - 41/35. Let v = 0.5 - -5. Let q = v - 0.5. Which is the third biggest value? (a) -0.8 (b) r (c) q a Let r be 3*24724/(-378)*226/(-19). Let j = r + -2334. Let f = 163/684 + j. Which is the third biggest value? (a) -11 (b) 2/3 (c) f a Let h = -22393 - -22397. What is the second biggest value in 0.01, 2, h, 0, -1/4? 2 Let y = -5640.59 - -5641. Let s be (196/16)/7 - 1. What is the third biggest value in s, y, 4, -2? y Suppose -23 = -2*g + 4*q - q, 2*q = -4*g + 6. Let o = -4 + 4.05. Let v = 3794 - 7589/2. What is the biggest value in v, o, g, -1/5? g Let o = -0.06 + -0.24. What is the fourth smallest value in 2/11, o, 0.2, -0.1, -5? 2/11 Let l = 1899 - 1902. Which is the second smallest value? (a) l (b) 10/9 (c) 5 (d) -2 d Let f = -1.62 + 1.12. Let p = 393 + -393. Let v = 0.3 - -0.7. Which is the smallest value? (a) v (b) p (c) f c Suppose 54*y + 77*y + 6 = -125. Which is the second smallest value? (a) y (b) 3/7 (c) 5/27 c Let h = 17906 + -17570. What is the second smallest value in -4, -2, h, -0.2? -2 Suppose 0 = -0*o - 16*o + 4816. What is the second smallest value in 2, -0.2, o? 2 Let i = 6.4 - 6. Let y = -0.33156 + 0.23156. What is the second biggest value in i, 0, y? 0 Let h = 0.4822 - 0.4093. Which is the third biggest value? (a) -0.3 (b) 0 (c) h a Let g = -215213 + 215215. Let h = 3.01 - 0.01. Which is the biggest value? (a) g (b) h (c) -3 b Let q = 945 + -945. Let o = 151 - 70. Which is the smallest value? (a) 2 (b) o (c) q c Suppose -177*o + 61*o + 1392 = 0. Which is the biggest value? (a) o (b) 17 (c) -6 b Let n = -2.181 + -0.159. Let w = n - -0.34. Let h be 1/2 + (-18)/(-12). What is the second smallest value in h, -5, w? w Suppose 3*y - 735 = -2*p - 2141, 4*p = y + 478. Let k = -740.13 + 740.63. Which is the third smallest value? (a) -5 (b) y (c) k c Let k = 280 + -196. Let y = -288 - -203. Let x = y + k. What is the second biggest value in x, 0.5, 2? 0.5 Let o = -3 + 3.5. Let k = 5 + -8. Let p = 11232 - 11231.6. Which is the smallest value? (a) p (b) k (c) -2/13 (d) o b Let h = -1068 + 3206/3. Which is the second smallest value? (a) -4 (b) -21/4 (c) h a Let h = -21 + 35. Let l be (16/56)/((-1580)/4424). What is the third biggest value in l, -1/10, h? l Let l = -24.53 - -25. Let g = 0.03 + l. Let m = 2149 - 2148. Which is the third smallest value? (a) 0 (b) g (c) m c Suppose 5*g - a = 2*a, -2*a = -5*g. Let c = -1.7 - 1.3. Let b be -31 + 88 - 616/14. What is the third smallest value in 0.4, c, g, b? 0.4 Let l be (-4)/12*250/175*(-2)/(-10). What is the biggest value in 3/163, l, -5? 3/163 Let u = -0.0532 - -281.0532. Let o = u + -280.2. What is the fourth smallest value in -0.7, 2/21, o, 5? 5 Suppose 0 = 34*d - 41*d + 14. Let w(u) = 4*u - 10. Let o be w(d). Which is the third smallest value? (a) 0.2 (b) 6/7 (c) o b Let v(d) = 16*d**3 + d**2 + 2*d - 2. Suppose -f + 2*f - 1 = 0. Let a be v(f). Let y be (14 + -12)*a/(-2). What is the third smallest value in y, 2/5, -0.1? 2/5 Let w = -26887/80643 - -2/26881. Which is the second biggest value? (a) w (b) 5/4 (c) -0.1 (d) 1/5 d Let n = 71.7 + -86. Let s = 16.1 + n. What is the second biggest value in s, 1/3, 0.03? 1/3 Let i = 40.931 - -0.069. Let g = 156.4 - 197. Let v = i + g. Which is the biggest value? (a) -1/10 (b) 0 (c) v c Let w be (4/45)/((-64)/10080*-35). What is the fourth smallest value in w, -3/16, -0.4, -0.5? w Let f = -245/16 - -767/48. Let w = 3/14 - 23/42. Suppose 5*r + 39 = -3*q + 7, -12 = 3*r. Which is the third biggest value? (a) 2 (b) q (c) f (d) w d Let g(p) = -68*p - 29. Let x be g(-1). Let o be ((x/(-18))/13)/((-56)/(-32)). What is the second biggest value in o, 1/6, -7/2? o Let x = -32.2 + 134.2. Let l = x - 102.3. What is the fourth biggest value in -13, l, -1, 0.1? -13 Suppose 20*i - 6*i = 14098. Suppose 6*h + 13*h - i = 0. Which is the third biggest value? (a) -3 (b) -0.4 (c) h a Suppose -4 = -11*f + 29. Let r be 2*(1/2)/(-1). Let x = -51/86 + 4/43. What is the third biggest value in -2/5, r, x, f? x Let s = -3754 - -3754. Which is the second smallest value? (a) -59 (b) s (c) 2 b Let z = -638 + 616. Which is the second smallest value? (a) -4 (b) 0 (c) z a Let p be ((-14)/(-8) + -1)*(2 + -10). Let w be 6*1/p*8/68. Which is the third biggest value? (a) -5 (b) -3/2 (c) w (d) 4 b Let o = 11.6 + -0.6. Let f = 5.679 - 5.38. Let h = f - -0.001. Which is the second smallest value? (a) h (b) o (c) 5 c Let l = -0.1 + -0.1. Let f = 1232 - 1229.5. Let i = 8 + -4. Which is the biggest value? (a) i (b) l (c) f a Let p(s) = -s**3 - 27*s**2 - s - 29. Let h be p(-27). Let k be (h/8*-6)/(3/(-14)). What is the biggest value in 0.05, k, 0? 0.05 Let z = -9874/3 - -3291. Which is the third smallest value? (a) z (b) 13.3 (c) -5 (d) 2 d Let z = 97 - 97.3. Let i = 11 + -12. Let s be i/((-6)/(-5) + -1). What is the third biggest value in s, -4, -3/5, z? -4 Suppose -12 = -17*y + 14*y. Let h = 0.24 - 2.14. Let f = -2.4 - h. Which is the biggest value? (a) 2/7 (b) y (c) f b Let k = 255.8 - 255.7. Which is the third smallest value? (a) -2 (b) -4/7 (c) k (d) -1/2 d Suppose 5*t = -h - 108, -21*h = -t - 24*h - 30. Which is the biggest value? (a) 2 (b) t (c) 2/41 a Let s = 0.081662 + -0.121662. Let h = -0.02 - -2.02. What is the third biggest value in 1/4, s, h, -1? s Let u = 2/85 - 1109/170. What is the smallest value in -0.3, 0.02, u? u Let l = 0.6 + -0.57. Let j = -0.17 - l. Let o = j + -0.8. Which is the third biggest value? (a) -1/3 (b) o (c) 3 b Let q be ((-5)/1)/(1665/999). What is the biggest value in 24, q, -0.1, -5, 3/7? 24 Let o(k) = k**2 - 4*k - 5. Let n be o(4). Let x = -402 + 259. Let z = 146 + x. Which is the third biggest value? (a) -0.7 (b) z (c) n c Let p = -16419 + 16419.1. What is the third biggest value in -0.2, -3, -1, p, -72? -1 Let x be ((-6)/(-22))/(15/(-10)). Let d = -0.7 - -0.31. Let y = d - 5.61. Which is the biggest value? (a) x (b) 0.2 (c) y b Let y = 283 - 5941/21. Let z = -4149/28 + 1032/7. What is the third biggest value in z, y, -4, 2/11? z Let m = 1734 + -8668/5. Let r be (3 + -1)/((-6)/9). What is the biggest value in m, -4/7, r, -0.9? m Let j = 67 + -52. Let o = 18 - j. Suppose -4*k + 2 = -o*k. Which is the third smallest value? (a) -1/5 (b) -3/8 (c) k c Let f be 18524/66 - 2/3. Let h be (-6)/(-14)*f/160. What is the biggest value in h, -0.18, -0.5? h Let f = 3966 - 3967. What is the smallest value in 5, -3, 0.68, f? -3 Let m be (1/(3/(-36)))/((-3)/(-2)). Let f be (3878/(-693) - -6) + 2/(-9). Which is the third smallest value? (a) m (b) f (c) -1/2 b Let n = 33679 - 235755/7. What is the third smallest value in n, -0.1, -227, -4? n Let o be (40/(-140))/(6/(-28)) + 0. What is the fifth smallest value in -1, o, -3/8,
{ "pile_set_name": "DM Mathematics" }
1010 + -110001010? -101100000 In base 15, what is -6d19 - 4? -6d1d In base 10, what is -12 + 3937? 3925 In base 9, what is -2143 + 476? -1556 In base 12, what is 2345 + -10? 2335 In base 5, what is -14 - -234400? 234331 In base 12, what is 107808 + -3? 107805 In base 15, what is 103c - -4? 1041 In base 10, what is 3 - 41119? -41116 In base 6, what is 143452142 + 0? 143452142 In base 13, what is -15 - bbb? -c03 In base 5, what is 1430 - 1333? 42 In base 6, what is -14 - -10235? 10221 In base 13, what is -44771 - 0? -44771 In base 14, what is -1980 - -1d? -1961 In base 5, what is 4 - 4114? -4110 In base 11, what is 0 - 4167? -4167 In base 13, what is 1b - -15c7? 1615 In base 8, what is -1373 - 277? -1672 In base 13, what is -6c58 - 7? -6c62 In base 2, what is -11 + -100111100101000? -100111100101011 In base 3, what is 110010221 + 21222? 110102220 In base 4, what is 110302202 - 1? 110302201 In base 4, what is 11102310 + -110? 11102200 In base 7, what is 2151 - 234? 1614 In base 13, what is -42 + 1bb2c? 1baba In base 7, what is 1544310 + 4? 1544314 In base 10, what is -17 + -38845? -38862 In base 6, what is 10210402 - 2? 10210400 In base 7, what is -1 + -330304? -330305 In base 16, what is -4 + -d1f4b? -d1f4f In base 11, what is 10354 + 3? 10357 In base 2, what is 101111111111 - -1001000? 110001000111 In base 10, what is -54 + -1091? -1145 In base 3, what is 100202011 - -102101? 101011112 In base 15, what is 13d67c + 1? 13d67d In base 6, what is 5 - 134403? -134354 In base 6, what is 0 + -11541? -11541 In base 4, what is -11002032030 + 0? -11002032030 In base 5, what is -21240 - -31? -21204 In base 13, what is -3854 + 1c? -3835 In base 14, what is -29 - 34ab? -34d6 In base 10, what is 2 - 14109? -14107 In base 15, what is -2ce - 4? -2d3 In base 8, what is -123770 + 0? -123770 In base 13, what is -3c - 35? -74 In base 13, what is -a - -49b42? 49b35 In base 9, what is 372 - 185? 176 In base 15, what is -1ec04 + -3? -1ec07 In base 14, what is -1a3 - 1135? -12d8 In base 5, what is 313012 - 40? 312422 In base 10, what is 9888 + 1? 9889 In base 6, what is 33244 - -4? 33252 In base 12, what is -15a + 15? -145 In base 3, what is -12 - -20111102000? 20111101211 In base 7, what is -3343040 + -6? -3343046 In base 4, what is -11321 - -133? -11122 In base 8, what is -1 + -35371? -35372 In base 12, what is 7 + 1605? 1610 In base 8, what is 6 + -63160? -63152 In base 13, what is -54b481 + -1? -54b482 In base 8, what is 507 - 4476? -3767 In base 12, what is b1 - 100? -b In base 6, what is -5 - 31342? -31351 In base 4, what is -11 - -220120? 220103 In base 12, what is 6 - 129534? -12952a In base 16, what is 3293a - 0? 3293a In base 15, what is 2 + 65c2? 65c4 In base 15, what is -402476 - 2? -402478 In base 6, what is 21 + 1515? 1540 In base 9, what is 2 - -25707? 25710 In base 15, what is 12033 - 2? 12031 In base 5, what is 1 - -20210111? 20210112 In base 3, what is 11120110100 - 1? 11120110022 In base 14, what is 8d + 78b? 83a In base 5, what is 1 + -134314? -134313 In base 6, what is -4 + -1043151? -1043155 In base 9, what is -2 - -1840816? 1840814 In base 14, what is 50d + -1a9? 344 In base 15, what is -154b9 + 5? -154b4 In base 4, what is 33000 - -112023? 211023 In base 7, what is -126 - -14364? 14235 In base 8, what is 254 - 1234? -760 In base 9, what is -1 + -85837? -85838 In base 7, what is -225003 + 5? -224665 In base 12, what is 6 - -1a1? 1a7 In base 15, what is 4 - 31445? -31441 In base 13, what is 21 + 5235? 5256 In base 5, what is 2 + -12240241? -12240234 In base 6, what is -23124 + -145? -23313 In base 12, what is 68 + -a1? -35 In base 16, what is 94c05b + -1? 94c05a In base 6, what is -1104531 + 4? -1104523 In base 6, what is 12 + 11521? 11533 In base 2, what is -10 - 101010100010000111? -101010100010001001 In base 5, what is 2 - 223002? -223000 In base 5, what is 200 + 13031? 13231 In base 15, what is 1698 - 121? 1577 In base 8, what is 4 - -16273? 16277 In base 4, what is 11031232 + -11? 11031221 In base 7, what is 630343 + 1? 630344 In base 4, what is 130 - -102011? 102201 In base 2, what is -1010001 - -100001000110111? 100000111100110 In base 10, what is 10362 + -8? 10354 In base 6, what is -5 + -354054? -354103 In base 8, what is 1401 - 53? 1326 In base 12, what is 1aa498 + 2? 1aa49a In base 13, what is 37b91 - 4? 37b8a In base 5, what is 40330 + 0? 40330 In base 11, what is 1a3325 + 4? 1a3329 In base 15, what is -10b4 + b5? -eee In base 2, what is -11010 - 1001001010110? -1001001110000 In base 16, what is 2167 - 24? 2143 In base 8, what is -3336232 + 3? -3336227 In base 6, what is -4 - -354241? 354233 In base 8, what is -25 + -17141? -17166 In base 3, what is 111210 - 1221? 102212 In base 14, what is -4 + 1c04d? 1c049 In base 7, what is -11465 + -2546? -14344 In base 10, what is 1522 - -268? 1790 In base 10, what is 21205 + 1? 21206 In base 12, what is -66a - -3a? -630 In base 9, what is -58308 + 1? -58307 In base 16, what is -ffe6 - -2? -ffe4 In base 7, what is -430 - 21610? -22340 In base 12, what is 71 - -1789? 183a In base 16, what is 1f - 782c? -780d In base 11, what is 3 - -542287? 54228a In base 11, what is 26 - -65936? 65961 In base 13, what is 197a - 30? 194a In base 5, what is -4204 - -1240? -2414 In base 9, what is -1 - -31366? 31365 In base 5, what is -4402 - 24222? -34124 In base 15, what is -ecdb + 0? -ecdb In base 2, what is 100 + -101000101111010100? -101000101111010000 In base 15, what is 26 - -44? 6a In base 10, what is 109 - -377? 486 In base 10, what is -5 + 46735? 46730 In base 15, what is 2 - 2b97? -2b95 In base 5, what is -142120 - 143? -142313 In base 14, what is 394 - -6b? 421 In base 12, what is 108522 - 7? 108517 In base 6, what is 41 + 3312324? 3312405 In base 2, what is -1 + -101111100110101111? -101111100110110000 In base 14, what is 2c + -6? 26 In base 5, what is -211124 - 3? -211132 In base 11, what is 51 - -6816? 6867 In base 2, what is -10110001110 + 11100000001? 101110011 In base 7, what is -414 + -2506? -3223 In base 6, what is -5512103 + 5? -5512054 In base 16, what is -2597 - -41? -2556 In base 15, what is 3 + -124c? -1249 In base 7, what is -3162 + -516? -4011 In base 7, what is 11 - 413165? -413154 In base 15, what is -20120 - 46? -20166 In base 13, what is -18b74 - 5? -18b79 In base 13, what is -3 - -128a2? 1289c In base 16, what is 6a9a - 2? 6a98 In base 15, what is -2 + -aea81? -aea83 In base 4, what is 1 + -1003010? -1003003 In base 5, what is -243 - -3324? 3031 In base 4, what is -11 + -323020? -323031 In base 4, what is -210 + -101210? -102020 In base 6, what is -1005 - 1401? -2410 In base 13, what is -130 + 1c? -111 In base 4, what is -113031313 + -12? -113031331 In base 4, what is -13 + 33332102? 33332023 In base 11, what is -22 + -18629? -18650 In base 6, what is -33 - 11054? -11131 In base 14, what is 67cd + -a? 67c3 In base 14, what is d3 + 2295? 2388 In base 12, what is -17 + -635? -650 In base 14, what is 508a - 1? 5089 In base 8, what is -1 + -551365? -551366 In base 4, what is -120 - 10013222? -10020002 In base 11, what is -7175a2 - 2? -7175a4 In base 13, what is -1 + 24a4a4? 24a4a3 In base 4, what is -10102 + 200020? 123312 In base 10, what is -2 + -12921? -12923 In base 16, what is 23532 - -2? 23534 In base 7, what is 122 - -1035? 1160 In base 14, what is 2 + -2db7? -2db5 In base 11, what is -25247 - 3? -2524a In base 5, what is 423121000 + 2? 423121002 In base 2, what is 10100001000 + -11110110? 10000010010 In base 8, what is 1 + -736651? -736650 In base 11, what is -2 - 15925? -15927 In base 7, what is -26 + -1112533? -1112562 In base 8, what is -2 - 422224? -422226 In base 11, what is 1 - -117a6? 117a7 In base 15, what is 342a6e + -4? 342a6a In base 9, what is -232 + 82? -140 In base 16, what is -4 + 52? 4e In base 5, what is 2412 - 101043? -43131 In base 11, what is -79a2 + 7? -7996 In base 6, what is 3 - -20222? 20225 In base 16, what is -3bd + -6e? -42b In base 8, what is 5 - 37114? -37107 In base 8, what is 1 + 225162? 225163 In base 7, what is -3622160 - 3? -3622163 In base 7, what is -326135 - 2? -326140 In base 16, what is 14dab6 + -5? 14dab1 In base 6, what is 220450 - -500? 221350 In base 10, what is 4 - 11753? -11749 In base 3, what is -2102 - 1122? -11001 In base 11, wh
{ "pile_set_name": "DM Mathematics" }
ue Let d = 524 - 521. Is 2287 - 9/(d - 2) a multiple of 17? True Let v = 5455 - 5156. Is v a multiple of 19? False Let k = 35 - 35. Suppose 5*t - 23 = m, -5*t + k*t - 2*m = -29. Suppose -2*d + 7*d + t*n = 270, -5*n - 138 = -3*d. Is d a multiple of 3? True Let f = 13793 + -11855. Does 51 divide f? True Let p = 9823 - 6811. Suppose -2*y + 5*q + 2021 = 0, 0*q + p = 3*y - q. Is 42 a factor of y? False Let v(j) = 42*j - 3. Let n be v(6). Suppose -4*l + 5*i - 704 = 0, 0 = 2*l - 5*i + 445 - 93. Let r = n + l. Is r a multiple of 26? False Let y be (6 - 24/10) + 4/10. Suppose 3065 = 4*a - 14*v + 17*v, 4*v = y*a - 3100. Is a a multiple of 55? True Suppose 3*l - 2*j = 176, 44 = -4*l + 5*l + 3*j. Let o = -52 + l. Suppose -o*i + 7*q + 240 = 3*q, q - 160 = -3*i. Does 14 divide i? False Let h(v) = -v - 14. Let m be h(-14). Suppose -9*p + 1398 = 4*f - 11*p, 2*p = 3*f - 1046. Suppose m = -3*i - i + f. Is 12 a factor of i? False Suppose 0 = -3*s - 4 + 1. Let k = -113 - -89. Does 11 divide (s + -2 + -1)*198/k? True Let y(x) = -2*x**3 - 19*x**2 - 28*x - 25. Let f(k) = k**3 + 10*k**2 + 14*k + 12. Let i(w) = 7*f(w) + 3*y(w). Is i(-11) a multiple of 2? False Suppose 74*w + 99*w = -45*w + 2180872. Is w a multiple of 164? True Let z(y) = -250*y + 9698. Is 55 a factor of z(8)? False Is 184 a factor of 86 + -93 + 5/(5/5108)? False Let h(g) be the second derivative of -g**4/12 - 5*g**3/3 + 3*g**2/2 + 701*g. Let q be -1 + 1/(2/(-12)). Is h(q) a multiple of 8? True Let b(g) = 41*g**2 + 373*g + 30. Does 142 divide b(-17)? True Is 5 a factor of (7 + (615/(-20))/1)/((-2)/56)? True Suppose 0 = -3*j - 6*j + 4*j + 32160. Is j a multiple of 16? True Let d = -5056 - -7847. Is 12 a factor of d? False Let c be 5 + -2 + (1 - 0). Suppose c*d + 12 = -36. Let y = d - -80. Is y a multiple of 11? False Does 18 divide ((-129 + -6 - 6)/(-12))/(2/184)? False Let c be 128/288 - (-21048)/27. Let q = c - 582. Is 22 a factor of q? True Let y = 26 + -35. Let h be (-1713)/y + (-3)/9*1. Is 26 a factor of -3 + 3 + -1 - h/(-2)? False Is 15/(-3) - ((-70776)/9 - -3) a multiple of 21? False Let m(f) = 5 + 1009*f**2 - f - 3 - 1010*f**2. Let p be m(0). Suppose -4*u + 88 = -2*y, y - 2 = p. Is u a multiple of 22? False Suppose 2*r + 10 + 36 = 3*y, -r - 65 = -5*y. Suppose 6*c + 0 = -y. Is 5/(15/63) + c/1 a multiple of 9? False Suppose 31*x + 460 = 36*x. Let i = -15 + x. Is i a multiple of 31? False Suppose 78*p - 463*p - 86345 + 1018045 = 0. Is p a multiple of 11? True Let m = 275 + -169. Let b = -49 + m. Is 2 a factor of b? False Let z(o) = -o**2 - 6*o + 82. Let l be z(0). Suppose n = -6 - l. Let v = n - -118. Does 3 divide v? True Let j(w) = -11*w - 41. Let y be j(-4). Suppose -3*o = -y*g - 549, 2*o - g - 276 = 91. Is 5 a factor of o? False Let a(q) = 2*q**3 - 26*q**2 - 81*q + 242. Is a(26) a multiple of 32? True Let l(v) = v**3 + 9*v**2 - 54*v - 22. Let z be l(-13). Suppose 8 = z*g, -8 = -0*h - h + 2*g. Is h a multiple of 12? True Suppose -u + 5 = -15. Suppose -2*a - w = w - u, 2*w = 10. Suppose 78 = a*g - 337. Does 28 divide g? False Let p = 58 + -50. Suppose -3*w = -7*w + p. Suppose -129 = -w*a + 99. Is 23 a factor of a? False Let y be 242/6 - 100/(-60). Is ((-664)/(-6))/(-8 + 343/y) a multiple of 15? False Let z(t) = 3887*t - 15. Let v be z(2). Suppose 0 = -12*m - 2875 + v. Is m a multiple of 37? True Let v = 851 + -1389. Let j = v - -956. Is j a multiple of 11? True Let f be (-37)/(-7) - (-11)/(385/(-10)). Suppose 44 = -f*u + 184. Suppose 26*r = u*r - 14. Is r even? False Let x(d) = 252*d**2 + 119*d - 595. Is 20 a factor of x(5)? True Let v(s) = 12*s + 136. Let h be v(-11). Suppose 3*f + 690 = 3*u, -h*u - 3*f = -220 - 714. Is u a multiple of 40? False Let r(i) = 6*i + 191. Let w be r(-11). Suppose -3*a = -2*a - w. Is a a multiple of 8? False Suppose -5*t + 3*s + 88790 = -25269, -4*t - 4*s = -91292. Is t a multiple of 46? True Suppose -q = -59 + 17. Let n = 30 - q. Let b(v) = v**3 + 14*v**2 + 18*v + 38. Does 12 divide b(n)? False Suppose -18*y + 18 = -9*y. Suppose q = 4*k - 1932, 0 = y*k + 4*q - 932 - 34. Is 21 a factor of k? True Let d(m) = -1533*m + 507. Does 68 divide d(-1)? True Suppose -20*c + 96018 = -21502. Is c a multiple of 20? False Suppose -403*h + 287470 = -7495266. Does 47 divide h? False Let a be (0 + 1/2)*0. Suppose -4*j - j + 20 = a. Suppose 5*m + 508 = 2*h, -2*h - j*m = 2*h - 988. Does 40 divide h? False Let k(o) = 2*o**2 - 55*o + 6. Let d be k(27). Does 30 divide (-1259)/(-3) - (9 - (-196)/d)? True Let q(h) = -h**3 + 61*h**2 - 36*h + 123. Is 10 a factor of q(46)? False Suppose -5*n - 3*k = -4, 2*n + 4*k = -4 - 0. Is n/(-5) - 20925/(-125) a multiple of 6? False Let j = 27 - 58. Let v = j - -45. Suppose 0 = -16*b + v*b + 116. Does 11 divide b? False Suppose 0 = -31*d + 30*d + 4847. Does 131 divide d? True Suppose 5*u - 619887 = -2*v - 142747, 0 = 3*u - v - 286273. Is 136 a factor of u? False Suppose -5*v - q = -5650, -4*v - q + 1624 = -2896. Suppose -z + v = 5*h - 0*z, -4*z = 5*h - 1130. Is 11 a factor of h? False Suppose -813 = -3*a - 807. Suppose 44 + 37 = j. Suppose -j = -h - a*r, r - 274 = -4*h + 3*r. Is h a multiple of 11? False Let o = -6 - -12. Let j be 40/(-10*7/(-840)). Suppose 3*t = o*t - j. Is 10 a factor of t? True Let d be 1/(-3)*11/(66/(-36)). Suppose -a = 2*i, d*a = i + 2*i + 7. Does 4 divide (a + -4)/(21/(-18) - -1)? True Let h = -422 + 2008. Suppose 646 = 3*c - h. Does 26 divide c? False Suppose -4*n + 5*a + 124 = 0, -2*n - 2*a + 81 - 19 = 0. Let o be 12 - ((-7)/7 - 0). Let u = n - o. Is u a multiple of 5? False Suppose 28*q - o = 25*q + 33, -q - o = -7. Let k(b) = 57*b - 62. Does 4 divide k(q)? True Suppose 3*x - 30160 = -4*r - 9209, -r - 13938 = -2*x. Is 19 a factor of x? True Let m(d) = 4*d**2 + 18*d + 251. Is 15 a factor of m(-17)? False Let z be (-12)/((-147)/(-117) - 1)*-20. Suppose -5*j = z - 3096. Is j a multiple of 54? True Suppose -42801 = -135*a - 9861. Does 71 divide a? False Suppose 3*w - 3*v = 0, -2*w + 5*v - 15 = -0*v. Suppose 4*o = -4*p - o + 41, 9*o - 33 = 3*p. Is 3 a factor of ((1 + 1)/p)/(w/70)? False Let i(z) = z**3 - 29*z**2 + 32*z - 88. Let c be i(28). Suppose -c*t + 36*t - 7896 = 0. Is 34 a factor of t? False Let o = 21733 + -11792. Is 147 a factor of o? False Let t be (7 - 1)*(-58)/(-87). Suppose 3*x + 21 + 1 = -a, 0 = -t*a + 4*x - 24. Let b = 44 + a. Is b a multiple of 21? False Let y = 12659 - 10583. Is 4 a factor of y? True Let f = 91 + -91. Suppose 0 = p + 2*z + 6, 3*z = -9 - f. Suppose p = -0*a - 3*a + 273. Is a a multiple of 13? True Let n(u) = 8*u**2 + 19*u + 6. Let b be n(-11). Let w be (b/6)/(2/(24/9)). Suppose 3*t - w = 40. Is t a multiple of 14? True Let n(d) be the third derivative of 23*d**4/24 + 5*d**3 + 2*d**2 + 10*d. Does 9 divide n(3)? True Suppose 5*h + 4*l - 4 = -0*l, h - 1 = -l. Let j(a) = 17*a + 376. Is j(h) a multiple of 7? False Suppose 73*t - 43560 = -26*t. Is t a multiple of 4? True Let i(c) = 21*c - 1177. Let f be i(54). Suppose 0 = -0*d + 4*d - 3*g - 454, -2*g - 226 = -2*d. Let x = d + f. Is x a multiple of 14? False Let z(w) = -99*w - 28 + 1 - 21 + 30 - 45. Is 14 a factor of z(-7)? True Let o(f) = f**3 + 3*f**2 + 1. Let u be o(-3). Is 3423/(-28)*(u - 86/6) a multiple of 76? False Suppose 289*c = 304*c - 485475. Is c a multiple of 52? False Let a be (-6)/(-15) - 1 - 302/5. Let n = a - -76. Is 15 a factor of 3*(n/(-5) + 13)? True Let w = 213 + 149. Let g = w + -264. Is g a multiple of 14? True Let t(v) = -2*v + 1. Let c be t(-1). Let y(f) = 20*f**2 + 8*f + 15. Let n(u) = -7*u**2 - 3*u - 5. Let b(m) = 11*n(m) + 4*y(m). Is 19 a factor of b(c)? False Let f(y) = -2456*y + 9620. Does 15 divide f(3)? False Suppose -4*p - 24 = 0, 4*m - 4*p - 5344 = 2*m. Does 20 divide m? True Let m be ((-9)/(-15) + (-3)/(-20))*1796. Suppose 3*t - 2*b = m, -t - b = 3*t - 1807. Suppose 341 = 9*h - t. Does 11 divide h? True Let v(y) = 54*y**2 - 4*y - 2. Let u be v(-4). Let o be (18350/125)/((16/60)/2). Suppose 0 = 5*z - 0*f - f - o, 4*z = -2*f + u. Is z a multiple of 21? False Let d be 33/(-2)*11594/(-33). Suppose 42*a - 31*a = d. Is 17 a factor of a? True Let n(m) = 11605*m**2 - 75*m + 77. Is 167 a factor of n(1)? False Let b be (-865)/(-30) - 4*3/(-72). Suppose -16*l - 9802 = -b*l. Is l a multiple of 14? False Suppose -252 + 259 = -p, 0 = -
{ "pile_set_name": "DM Mathematics" }
s + j*q and give j. -413 Rearrange (3 - 5 + 4)*(-159*q**2 + 173 + 298*q**2 - 135*q**2) to the form i*q + d + g*q**2 and give g. 8 Express (0 + 75*r**2 - 107*r**2 + 2)*(-5 + 1 + 5 + (3 + 3 - 5)*(-4 + 3 + 3) - 3 + 0 + 4 - 3 + 1 + 0 - 1 - 2 + 4) in the form q*r**2 + o*r + m and give m. 6 Express -19*s - 1792*s**2 + 1796*s**2 + 6*s in the form a + g*s**2 + c*s and give a. 0 Express 12*q - 1 - 6*q + 8*q + q as f*q + w and give w. -1 Rearrange (-4*z**2 + 2*z**2 + 4*z**2)*(0*z - 3*z + 0*z) + (-5*z**2 + z**2 - 47*z**2)*(-2*z - z + 2*z) to w*z**2 + x + j*z + l*z**3 and give l. 45 Express -11*h**3 - 10*h - 9*h + 26*h - 2*h - 1 - h**2 - 9*h as b*h**2 + j*h + k*h**3 + x and give x. -1 Express 3*v**4 - 3*v**4 - 2*v**4 + (-2*v - 6*v**4 + 2*v)*(100 - 46 - 43) as n*v + k*v**3 + j + g*v**2 + f*v**4 and give k. 0 Express 2*m + 9 + 29 + 12*m + 2*m**3 - 15*m in the form y + c*m**2 + a*m**3 + p*m and give a. 2 Express (2 + 0 - 4)*(-4 + 4 + 2*i)*(-457*i**2 + 0*i + 4*i + 452*i**2 + (2*i**2 + i - i)*(-1 + 0 + 2)) as p*i**3 + r + w*i**2 + j*i and give p. 12 Rearrange -163*g**2 + 33*g**2 + 74*g**2 - 2*g**3 - 4 to the form q + v*g**3 + h*g**2 + l*g and give v. -2 Rearrange (2*i - 2*i - i)*(0*i - 2*i + i)*(85*i - 97*i + 64*i) to the form g*i + d + m*i**3 + l*i**2 and give m. 52 Rearrange -2*i**3 - 25*i**3 + 55*i**3 + 5*i**3 - 3*i**3 - i**3 + (0*i + 0*i - i)*(3*i**2 + i**2 - 5*i**2) to the form l*i**3 + h + v*i**2 + o*i and give l. 30 Rearrange 7*y - 10*y**2 + y**4 + 32*y**3 + 17*y**3 + 30*y**3 - 76*y**3 + 1 to the form b*y**4 + r + c*y**3 + z*y + j*y**2 and give b. 1 Rearrange (-5*p**2 - 14*p + 14*p)*(-97 + 13*p**2 + 97 + (1 - 1 - p)*(p - p + 2*p)) to the form l*p**3 + k*p**4 + i*p**2 + r + v*p and give k. -55 Rearrange -2 + 1 + 9*b**4 - b**2 + 7*b**4 - 17*b**4 - b**3 - 5*b to the form o*b**2 + s + l*b**3 + n*b**4 + f*b and give n. -1 Rearrange -n**3 - 8*n + 3 + 15*n**4 - 2 - 3*n**4 + 10*n to the form w*n**3 + s*n + l + v*n**4 + r*n**2 and give w. -1 Express 169*c**3 + 188*c**3 - 374*c**3 + 4*c**2 in the form f*c + s*c**3 + b*c**2 + r and give b. 4 Rearrange (43525*v**3 + 4*v**2 - 6*v**2 - 43510*v**3)*(4*v + v - 3*v) to s + n*v**4 + h*v**2 + m*v**3 + u*v and give m. -4 Express (-18*w**2 + 25*w - 25*w)*(-2 - 1 + 2)*(-4*w**2 + w**2 + w**2) + (-9 + 9 + 2*w)*(-4 + 2*w**3 + 4) as m*w**2 + o*w**3 + p*w**4 + b*w + c and give p. -32 Rearrange -57*u - 3*u**2 + 71*u + 28*u - 6*u**2 to y + x*u + n*u**2 and give x. 42 Express -1861 - c + 1861 as g + d*c and give d. -1 Rearrange 327*n**4 + 323*n**4 + n**3 - 652*n**4 + 1 + 0 + 2*n to the form l*n + g*n**4 + b*n**2 + y*n**3 + o and give l. 2 Express 197969*q**2 + 10*q**4 + 8*q - 197967*q**2 + 14*q + 2*q**3 in the form t*q**4 + l*q**3 + f*q**2 + m*q + b and give m. 22 Rearrange 5*w - 5*w**4 - 5*w + (5 - w**3 - 5)*(171 - 171 + 28*w) to q*w**4 + z*w**2 + x*w**3 + b + p*w and give q. -33 Rearrange -218*l**2 - 15*l + 14*l + 61*l**2 to t*l**2 + b*l + f and give t. -157 Rearrange b**2 - 2 - 3*b**3 + 6*b**4 + 5*b - 2*b**4 + b**2 - 5*b**4 to w*b + q*b**3 + v + x*b**4 + h*b**2 and give x. -1 Express -7 - 7 - 161*b + 2 + 13 as w + i*b and give w. 1 Rearrange (323*h + 647*h + 743*h + 568*h)*(-2 + 4 - 1) to the form j + m*h and give m. 2281 Express 69 + 6*z + 71 + 5*z**2 - 208 + 67 + z**4 + 2*z**4 as j*z**4 + r + v*z**2 + d*z + k*z**3 and give r. -1 Rearrange (3 - 8 - 1)*(45*l + 8*l + 19*l) to p + w*l and give w. -432 Rearrange 104*b + 1140 - 1140 to the form h + f*b and give f. 104 Rearrange -2985*t + 2985*t + 2*t**3 - 5*t**2 + (t - 3*t + t)*(2 - 2 - 2*t**2) to the form w + c*t + i*t**3 + x*t**2 and give x. -5 Express y**2 - 2 - y**3 + 7*y**2 - 9*y**4 + 8*y**4 + 3 in the form a*y**4 + w*y**2 + o*y**3 + k + u*y and give o. -1 Express -424*z**3 - 60*z + 3 + 217*z**3 + 209*z**3 as k + t*z + m*z**3 + v*z**2 and give k. 3 Rearrange -50*a**2 - 126*a**2 + 21*a**2 + (2*a + 0*a - 4*a)*((2*a - 4*a + 4*a)*(-4 + 6 + 0) - 2 + 2 - 2*a) to the form o*a + f*a**2 + u and give f. -159 Rearrange 47 - q + 182*q**2 - 180*q**2 + q to o*q + g + s*q**2 and give s. 2 Rearrange -1 + 4 + 1 - 9 + 14*c**2 to the form o*c**2 + a*c + s and give s. -5 Express -2*g**3 - 4*g**3 - g + 5*g**3 + (-5*g**3 - 8*g**2 + 8*g**2)*(13 + 40 - 24) in the form q*g + t*g**2 + a*g**3 + i and give a. -146 Express 3*w**3 - 4*w**3 + 2*w**3 + (-3*w + 0*w + 0*w)*(-67*w**2 - 68*w**2 + 144*w**2) as i + a*w**2 + k*w**3 + p*w and give k. -26 Rearrange 467*o**2 + 972*o**2 + 30*o**2 + 572*o**2 + 453*o**2 + (-2 + o + 2)*(-1 + 1 - o) to the form p + g*o + f*o**2 and give f. 2493 Rearrange (-33815*c + 34208*c - 4 + 4)*(2 - 4 + 1 + (4 - 3 - 2)*(2 + 1 - 1)) to the form y*c + x and give y. -1179 Express 133*v - 249*v + 125*v - 5 in the form j + n*v and give j. -5 Rearrange (-10 - 59 - 209)*(-2*w**2 + 2*w**2 + 2*w**4) to the form k*w**2 + h*w**4 + y*w + i + f*w**3 and give y. 0 Express -3*v - 492*v**2 - 30*v**3 - 490*v**2 + 980*v**2 as n*v**2 + c*v + z*v**3 + a and give c. -3 Rearrange (-5*j + 103 - 103)*(-28*j**2 + 32*j**2 - 3*j + 0*j) to y*j + k*j**2 + h + u*j**3 and give u. -20 Express (-2215463 - 2376*b + 2215463)*(2*b**2 - 2*b**3 - 2*b**2) as n + y*b**2 + l*b**4 + w*b + a*b**3 and give l. 4752 Express -6 + 4*h + 2*h + 4*h + 13*h - 52*h in the form w*h + f and give w. -29 Express -h**4 - 5*h**2 + 20*h**2 + 2*h**3 - 2 + h**3 - 9*h - 16*h**2 as y*h + i*h**3 + f*h**4 + q + d*h**2 and give f. -1 Rearrange (6 + 0 - 2)*(5*l**3 - 11 + 11)*(4 + 1 - 4) + 1 + 7*l**3 + 585*l**2 - 585*l**2 to the form g*l**3 + o*l + i*l**2 + k and give k. 1 Rearrange -63*c**2 + 10*c - 54*c**2 + 3 - 10*c + 41*c**2 to a + l*c + t*c**2 and give t. -76 Express (4*m - 25*m - 6*m)*(-1 - 5 + 1)*(0 + 0 + 2) as a + y*m and give y. 270 Rearrange 359*c**2 + 31 - 348*c**2 - 17 to the form d*c**2 + o*c + t and give t. 14 Rearrange (-2*f**3 + f**3 + 2*f**3)*(2*f + f - 5*f) - 338*f**2 + 3*f**3 + 8*f**4 + 338*f**2 to k*f**4 + a*f**2 + c + d*f**3 + u*f and give k. 6 Express 115 + 19 + 2*a - a - 2*a in the form w*a + u and give u. 134 Rearrange 65 - 64 - 6*c**2 + 0*c**3 + c + c**3 to the form x*c**2 + l*c + y + d*c**3 and give d. 1 Rearrange 89 + 97 - 136*c - 186 to t*c + l and give t. -136 Rearrange 5*p - 64*p**2 + 11 + 62*p**2 - p + p to g*p + m*p**2 + a and give m. -2 Express 3 - 3 + 312*a - 1 in the form t + m*a and give t. -1 Rearrange -410*d**2 + 198*d**2 + 210*d**2 - 208*d**3 to o*d + c*d**2 + g + j*d**3 and give j. -208 Express (3*f - 4 + 4)*(7*f - 7*f - 9*f) + 5*f**2 - 3*f**2 + 0*f**2 + (-5*f + 4*f + 2*f)*(0*f - 3*f + 6*f) in the form l*f**2 + w + s*f and give l. -22 Rearrange 28*n**2 - 3 - 1 + 3 - 104*n**2 to the form x + a*n**2 + w*n and give x. -1 Express h**4 - 2*h**4 - h**4 - 1 + 1 + h**4 + (0 - 1 + 3)*(2*h + 2*h**4 - 2*h) - h**4 + 3*h**4 + 0*h**4 as s + x*h**3 + f*h**4 + g*h**2 + k*h and give f. 5 Rearrange 13*b**3 - 2*b**2 + 2 - 6*b**2 + 9*b**2 to the form p*b**2 + m*b + r + d*b**3 and give r. 2 Express 1 + 24*j**3 - 5*j + 2*j**4 + 2*j - 8*j**3 + 13*j**2 - 10*j**2 as x*j**4 + t*j**2 + i*j + w*j**3 + b and give x. 2 Rearrange (-2 - 2*w - 5*w + 1)*(74*w + 12*w + 30*w) to v*w + s*w**2 + q and give v. -116 Rearrange (-1 - 5 + 2)*(-61*g**2 + 264 - 264) to the form t*g**2 + j*g + b and give t. 244 Express -2 + 2 - 2*h**3 + (30*h + 17*h - 98*h)*(3*h - 3*h - h**2) + 6*h**3 - 2*h**3 + 4*h**3 in the form s*h + p*h**2 + t + n*h**3 and give n. 57 Rearrange (-15*b + 6*b - 8*b)*(20*b - 116 + 116) to the form a + z*b + u*b**2 and give u. -340 Rearrange 205*w**2 + 21*w - 26*w + 5*w to the form h*w + b + p*w**2 and give p. 205 Express 77960*z - 7 + 41*z**2 - 77960*z in the form m*z**2 + u + a*z and give u. -7 Express -11238*l**4 + l**3 + 11236*l**4 + 1 + l**2 + 2*l - 2*l**3 as s*l + r + p*l**4 + x*l**3 + c*l**2 and give c. 1 Rearrange 158*f**2 + 27*f**2 + 5*f - 5*f + 10*f**2 to u*f + k*f**2 + x and give k. 195 Express 0*z + 0*z + 0*z**3 + z**2 + 2*z**3 + 9*z**3 in the form i*z**3 + n*z + k + t*z**2 and give t. 1 Express (-v + 0 + 0)*(66*v - 64*v + 23*v)*(-1 + 1 + 3) as p + a*v**2 + f*v and give a. -75 Rearrange -h**2 + h**2 - 2*h**2 - 2*h**2 - 40*h - 16*h to t + p*h + x*h**2 and give x. -4 Rearrange k + 0*k + 9*k - 5*k + 0*k + 4*k - 1 + 2*k + 1 + (3*k - k - 4*k)*(-1 + 3 + 0) to w*k + i and give w. 7 Express (16*c - 5*c + 6*c)*(2 - 6 + 2) + (c + 44 - 44
{ "pile_set_name": "DM Mathematics" }
(-14)? False Let y be ((-70)/4)/(6 - 292/48). Suppose 12 - y = -3*w. Does 11 divide w? True Suppose 104 = 2*q - 5*l, 4*l + 32 = q - 26. Suppose b - 3*x + 30 + 5 = 0, -5*b + 3*x - 151 = 0. Let k = b + q. Is 13 a factor of k? True Let z(x) = -8 + 4*x**2 - 3*x**2 + 0*x**2 - 2*x**2 - x**3. Is 8 a factor of z(-4)? True Let a(r) = r**3 - 4*r**2 + 5*r + 4. Let n be a(6). Let x = n - 44. Does 22 divide x? False Let j be (-5)/30 + (3549/(-18))/(-7). Let r = j + 20. Is 4 a factor of r? True Let z(p) = 3*p**2 - 18*p + 66. Is z(7) a multiple of 12? False Suppose -2*j + 504 = 10*j. Is j a multiple of 6? True Suppose 0 = -26*o - 26*o + 64584. Is o a multiple of 9? True Let q be (-24)/(-8) + 1 + -1. Suppose 0*d - 4*y = q*d - 63, 81 = 3*d - 2*y. Is d a multiple of 11? False Suppose -3*h + m + 118 = 12, -5*h - 2*m + 162 = 0. Suppose -n - h = -3*n - 4*s, -4*n + 4*s + 20 = 0. Is n a multiple of 5? False Let y = 1856 + 954. Does 29 divide y? False Let n(x) = -4*x + 16. Let h be n(3). Does 17 divide 68/(-8)*(3 + -1 - h)? True Let o(u) = 24*u + 428. Does 13 divide o(17)? False Let w(d) be the second derivative of d**3/3 - 23*d**2/2 - 15*d - 2. Is 2 a factor of w(13)? False Suppose -4*c - 9 - 27 = 0. Let x = c - -19. Is x a multiple of 10? True Suppose 0*s = -3*n + s + 38, 35 = 3*n - 4*s. Does 3 divide n? False Let x be 286/77 + (10/(-14) - -1). Suppose x*p - 170 - 18 = 0. Is p a multiple of 10? False Suppose -17*u + 5*r = -13*u - 9000, r = 4*u - 9000. Is u a multiple of 75? True Does 34 divide (10 - 648/60)/((-4)/850)? True Suppose 2*j - 13 = -3. Suppose 0*m = 3*m - 3*y - 21, 39 = j*m - y. Is 8 a factor of m? True Let p = -14 + 16. Suppose 5*o - 312 = 3*b, -2*b = -p*o + b + 132. Suppose -6 = -3*q + o. Is q a multiple of 11? True Let c = 484 + -279. Is c a multiple of 50? False Suppose -3*d + 32 - 20 = 0. Is 2*(-106)/d*(0 + -1) a multiple of 9? False Let l = -421 + 711. Is l a multiple of 29? True Does 43 divide (6/(-18))/(5/(-1230))? False Let i be 8 + 3 + -7 - 2. Suppose -l + 3*y - y = 164, -4*l - i*y - 646 = 0. Is (-1)/2 - l/4 a multiple of 8? True Suppose -6*g = -2*g. Suppose g = -5*r + 457 + 3. Does 17 divide r? False Let z = -881 + 1268. Does 20 divide z? False Let j(a) = -2*a**3 + 23*a**2 - 30*a - 8. Let c be j(10). Let t be 4/(-18) + (-184)/(-18). Let o = t - c. Is 9 a factor of o? True Let n(x) be the second derivative of -x**5/20 + x**4/6 - x**3/3 + 13*x**2/2 + 3*x. Is 13 a factor of n(0)? True Suppose -5*t = -g - 848, 2*g - 5*g + 856 = 5*t. Is 17 a factor of t? True Does 118 divide 1 + -12 + 34 + 3871? True Suppose -i - 5*f = -807, -5*i + 822 = -4*i + 2*f. Does 8 divide i? True Let y(d) = 10*d**2 + 5*d + 5. Let i be y(-6). Suppose -r + 3*l = -85, 5*r + 3*l - i = -0*l. Does 14 divide r? True Suppose 13*f = 51*f - 17328. Is f a multiple of 57? True Let p be ((-2)/4)/(2/(-164)). Let c(b) = b**3 + 4*b**2 + 3*b + 3. Let r be c(-2). Suppose r*t - p = -1. Is 8 a factor of t? True Let d be (0 + -2 + 8)*2/4. Let r(a) = a - 4. Let j be r(7). Does 8 divide (84/d)/(j - 2)? False Suppose 228 - 4155 = -11*q. Is 17 a factor of q? True Let m be 3*(4 + (-24)/9). Let o(j) = j**2 + 2*j + 3. Is o(m) a multiple of 9? True Let h = -97 + 244. Is 3 a factor of h? True Let m(x) = -2*x**2 - 20*x + 2. Let k be m(-10). Suppose -3*a + k*q + 88 = 0, 4*a = 5*q + 45 + 63. Is a a multiple of 8? True Let p(a) be the third derivative of a**5/30 - 5*a**4/24 - 4*a**3/3 + 3*a**2. Is 44 a factor of p(12)? True Let c(a) = -99*a + 150. Is c(-5) a multiple of 54? False Let z(x) = -x**3 + 14*x**2 + 11*x - 27. Is 57 a factor of z(13)? True Let v(t) = 12*t**2 + 56*t + 9. Does 6 divide v(-5)? False Let h(q) = -166*q + 587. Is h(-10) a multiple of 23? False Let u = 119 - 112. Suppose 0 = -5*t, 4*g = u*g - 4*t - 585. Does 35 divide g? False Let y(f) = 10*f**2 + 18*f + 27. Does 9 divide y(9)? True Suppose 16222 = -59*p + 138706. Is 20 a factor of p? False Suppose 4*f = -146 + 26. Let j = 33 - f. Is j a multiple of 11? False Suppose -3*i + 138 = 5*o, 3*o + 7*i = 3*i + 85. Suppose 53 = 5*r - o. Is 8 a factor of r? True Let h(p) = -2*p**3 - 7*p**2 + 4*p - 9. Does 32 divide h(-7)? False Suppose 0 = 2*n - 2*v - 178, -3*n - 52*v + 271 = -51*v. Is n a multiple of 6? True Suppose 0*b + 3 = b. Let k be (6/(-5))/(-1)*1110/333. Suppose 0 = b*o + 2 + 1, -5*o = k*q - 63. Is q a multiple of 9? False Let v(x) = x**2 - 4 + 7*x + 14*x - 20*x. Let f be v(2). Let c = f + 1. Is c a multiple of 3? True Let w(l) = 157*l + 4. Let s be w(-1). Let h be 34/s - 155/(-9). Let t = h - 10. Is t a multiple of 2? False Let u = 121 - 108. Is u even? False Let j(z) = -z**3 - 6*z**2 - 2*z - 8. Let v be j(-6). Let k be ((-5)/v)/(1/(-8)). Is (-6)/(-10) + 744/k a multiple of 14? False Let t = 21 - 15. Suppose -46 = t*q - 370. Let l = q + -36. Is 10 a factor of l? False Let u = -5 + 19. Let p(v) = -4*v + 5*v - 13 + u*v. Is p(6) a multiple of 10? False Let m(p) = -p**3 + 2*p**2 - 2*p - 4. Is m(-3) a multiple of 2? False Let z = -1055 + 1542. Is z a multiple of 14? False Suppose -57*w + 48*w + 468 = 0. Does 7 divide w? False Let s be -3 - (-39)/15 - 96/10. Let i(x) = -7*x - 12. Is 29 a factor of i(s)? True Suppose 15*c = 11*c. Let h be c + (-1)/(-1) - 1. Suppose h*r - 2*r = -2*k - 46, 3*k + 6 = 0. Does 21 divide r? True Suppose 3*i - 4*r = -11, i = r + 4*r - 22. Suppose -4*p + 5*o + 62 = -83, i*p = 2*o + 107. Is p a multiple of 2? False Suppose -4*f - r + 1175 = 0, -4*f - 3*r + 575 = -2*f. Suppose 0 = 2*a - 2*d + 59 - f, -d = 5. Does 19 divide a? False Let v = -181 + 285. Does 8 divide v? True Let o be ((-6)/(-3) - 5)/(-3). Suppose -5*l + 2*q + 1 = -o, 12 = 2*l + 2*q. Is 11 a factor of ((3 - l) + -2)*-11? True Let p be 30/40 - (-1)/4. Let s(d) = -2*d**3 + d**2 - 2*d + 1. Let y be s(p). Does 12 divide y - 1 - 67/(-1)? False Suppose 0 = 4*w - 0*w + 5*z + 4, w - 2*z + 1 = 0. Let k(h) = -h + 1. Let v(d) = 6*d - 32. Let p(c) = w*v(c) - 5*k(c). Is p(-12) a multiple of 13? True Suppose -7*b = -4*k - 2*b + 143, 0 = 2*k - 5*b - 69. Is k a multiple of 24? False Suppose 1058 = -15*i + 12818. Does 53 divide i? False Suppose 18*q = -28*q + 63066. Is 59 a factor of q? False Suppose 6290 = 5*k - 15440. Does 41 divide k? True Suppose 15*q + 3633 = 18*q. Suppose q = 8*c - 37. Does 26 divide c? True Let k(l) = -140*l**3 - l**2 + 2*l + 2. Is k(-1) a multiple of 8? False Suppose -1 = 4*w - 5*c - 2, 3*w = -2*c + 18. Suppose 0 = 3*o - w*y - 176, 5*o - 3*o - 144 = -4*y. Suppose -4*r + 16 = -o. Is r a multiple of 9? False Let c(f) = -4*f. Let s be c(-1). Suppose s*a = 6*a - 8. Suppose 0 = a*p - 366 + 38. Is 15 a factor of p? False Does 20 divide (-99750)/(-84) + 1/(-2)? False Suppose 30 = -2*s - 4*r, 0 = 4*s + 3*r + 30 + 10. Let h = s + -23. Let b = 82 + h. Is b a multiple of 13? True Let l(x) = 40*x**2 + 43*x - 191. Does 84 divide l(6)? False Let m(x) = 10*x + 569*x**2 + 3*x**3 + 6 - 4*x**3 - 570*x**2. Is m(-5) a multiple of 10? False Is (99/(-4))/((-11)/88) a multiple of 11? True Let g(r) = -3*r**3 + 4*r**2 + 16*r + 27. Does 5 divide g(-6)? False Let v = -23 - -22. Is 40 a factor of v + 5 - 196/(-1)? True Is 95984/128 + (-4 - 132/(-32)) a multiple of 15? True Suppose 0*x - 5*x + 5*o - 290 = 0, -294 = 5*x - o. Let k = -35 - x. Is k a multiple of 5? False Suppose 29*l = 906 + 544. Is l a multiple of 6? False Let c = 27 + -44. Let t = c + -7. Let g = -12 - t. Is g a multiple of 4? True Let m be (2/6)/(1/3). Let w = -3 - m. Is 16 a factor of w/22 - (-1600)/88? False Let r(p) = -p**3 + 3*p**2 + 5*p - 3. Let q be r(3). Suppose -2*n = -q - 8. Suppose -3*w = -5*w + n. Is w even? False Let a(k) = -k**2 + 3*k + 252. Is 42 a factor of a(0)? True Let m = -124 + 126. Suppose k = 0, 171 = 2*q - m*k + 17. Is 7 a factor of q? True Suppose -5880 = -14*z + 6706. Is 17 a factor of z? False Let q be (42 + -2)/(-5) - 0. Let u = 34 - q. Does 13 divide u? False Let o = 398 - 357. Does 13 divide o? False Suppose 5*q = 3*j - 470, -q + 4*j = q + 202. Let d = q - -160. Is d a multiple of 15? False Suppose -12*w + 14*w - 76 = 0. Suppose -z - w = -k - 159, k + 475 = 4*z. Let t = z - 66. Does 20 divide t? False Let w(r) = 4*r + 2. Suppose -3 = -5*j - 3*x, 0*j - 3*x = 2*j + 6. Is 3 a factor of w(j)? False Is (-132)/154*(-6)/3*49 a multiple of 12? True Let c be (-3*2)/(-3)*2. Is 20 a factor
{ "pile_set_name": "DM Mathematics" }
= -22. Let x be (-12)/(-3)*l/14. Suppose 4*z - 2*o + 18 = 0, z + 0*o + 12 = -2*o. Are x and z non-equal? False Let u = 15.55 + -15.55. Let o = -0.05 - 1.95. Let a = o + 5. Which is greater: a or u? a Suppose 36 - 8 = 4*w. Let r be w/(-2)*(-14)/49. Let u = -21/8 + 113/40. Is r less than u? False Let d = 478 + -1941/4. Which is smaller: d or -1/2? d Let j be (-2)/(-6) + (-209)/654. Are j and -1 equal? False Let j = -3599 + 3596.067. Let p = j + -0.067. Which is smaller: 5 or p? p Let c = -9 - -7. Let k be c/((-4)/6 + 0). Suppose -24 = -3*j + 4*h, k*j + 0*j - h = 15. Which is bigger: 5 or j? 5 Suppose 3*b - 24 = -0*b. Suppose 6*r = b*r - 28. Let a = r - -4. Which is smaller: a or 1? 1 Let q = -65/276 + -1/69. Which is smaller: q or 0.86? q Let j(q) = q + 1. Let y(h) = h**2 + 7*h + 6. Let v(t) = 3*j(t) - y(t). Let w be v(-3). Is 10/13 bigger than w? True Suppose -8*h - 22*h + 4830 = 0. Is h at most 162? True Let d(n) = -45*n - 83. Let r be d(3). Is r != -218? False Let n = 12 + 78. Let s = n - 256/3. Is s bigger than 5? False Let l be 8/(-10)*2/(-4). Let a be 27/105 - 4/10. Is l at most as big as a? False Let p(g) = -2*g - 7. Suppose -3*z = 3*z - 10*z. Let k be p(z). Let s(y) = -6*y. Let r be s(1). Is r at most as big as k? False Let d be -15 - (-2 - -4 - 5). Which is greater: d or -24? d Let q be ((-6)/(-3) + (-2)/8)*4. Let s be (6*(-8)/(-6))/1. Suppose 3*t = 2*t + s. Is q greater than t? False Let b(w) = w**2 - w - 1. Let g be (6/(-4))/((-1)/(-2)). Let y be b(g). Let x be (-10)/(-3)*360/100. Is y >= x? False Suppose 1 - 2 = -5*k - 3*n, 2*k + 3*n = 4. Let p be (0 - k)*3*-20. Let i be (-3 - p/8)/(-2). Are i and -2 non-equal? True Let x = -7.5 - -8.9. Is x <= 29? True Let z = 64/3 + -22. Let j = -10 - -18. Let y be (-4)/6*(-36)/j. Is y > z? True Let w = 2008/3 + -682. Let a(f) = 4*f + 3. Let z be a(-4). Which is smaller: z or w? z Suppose -3*j - 10 = -5*j. Suppose h - 2*h = -u + j, 3*u + 5*h = -1. Is u equal to 8? False Let d = 0.03 + 1.77. Let z = 31 + 26. Let c = z + -113/2. Is d bigger than c? True Let f = -332 - -159. Is f > -175? True Let b = -465 + 575. Is 107 >= b? False Let c be -2*3/(4 - -2). Let p = -1/291 - -325/9894. Which is greater: p or c? p Let t be 610/95 + -4 - 2. Let q = t - -193/38. Do 7 and q have the same value? False Let l be 3109551/(-33) - (-1 - -1). Let s = l - -94429. Let b = s + -200. Is -1 equal to b? False Let v = 882 + -878. Let o = 0 + 0.1. Which is smaller: o or v? o Let i = 37 - 27. Let a = -11 - i. Is -19 smaller than a? False Let m = -91 + 91. Suppose -i + 199 = 3*i - r, m = -5*r - 15. Is i greater than or equal to 48? True Let k = -98 + 49. Let a be (-14)/k + 66/14. Let q(b) = -b**3 + 5*b**2 + 2*b - 6. Let f be q(a). Which is smaller: f or 6? f Let o = -16/37 + 218/333. Is 3.7 smaller than o? False Let b = -8 - 645. Is b at least -654? True Let w(l) be the first derivative of l**3/3 + l**2/2 + 8*l + 11. Let z be w(0). Is 8 >= z? True Let m = 4.8 + -5. Is 3/7 not equal to m? True Suppose 0 = -4*o - 4*i + 2 + 14, 4*i = 16. Let k = 9/83 + -79/1494. Are k and o unequal? True Let j be (-2)/(-4)*4/(-5). Suppose 156 = -4*s - 2*v, 0 = -5*s + 3*v - 201 + 28. Let c = s + 38. Which is bigger: c or j? c Let j be 12 + 0 - (116 + -95). Suppose 0*t - 2*t = 18. Are j and t unequal? False Let w be (-6)/(-6) + 17/(-2)*2. Let b be (-8)/(-16)*(-24)/1. Let t be b/5*90/12. Which is greater: w or t? w Let x be (-2)/(-2) - 9/(-1). Suppose -h + x = h. Let v = 13 - h. Which is smaller: v or 9? v Suppose -2*a - 13 = -3*m, -14 - 7 = 5*a + 4*m. Let l = -3 - a. Suppose -s + 11 = -l*s. Do -12 and s have different values? True Let f = -16.7 + 16.2. Is -17 greater than f? False Let z = -14 + 20. Suppose 4 = -t + z. Suppose 0 = 5*s - t*s + 6. Which is greater: -1/2 or s? -1/2 Let d(i) = -4*i - 268. Let s be d(-47). Is s bigger than -80? False Let c be -2 + 3 + 4 + -1. Let k = c + 2. Suppose g - k = -g. Which is greater: -0.1 or g? g Let i = 38 + -33. Is 20 equal to i? False Let d = -5/576 - -7757/760896. Is 0 not equal to d? True Let i = 65 - 71.1. Let l = 6.1 + i. Let t = 3.97 - 4. Is t at most l? True Suppose -h = -4*r + h - 202, 4*r + 201 = h. Let o = -49 - r. Is o equal to 1? True Let c = -160 + -468. Let b be (0 - c/10)*-1. Let d = 63 + b. Is d >= -2/5? True Let q = 0.008 - 2.908. Let t = q + -12.1. Let l = t - -16. Is l > -10? True Let d(q) = 3*q**2 - 15*q - 9. Let f be d(3). Is f less than -8? True Let p = 1/213 - 647/1704. Let c = 114 - 109. Suppose h - 4*t = 12, 2*h + c*t + 6 = 3*t. Which is greater: p or h? h Let u(p) = -p. Let j be u(1). Suppose 2*g = 15 - 31. Let d be 5/(-3)*(-6)/g. Is j at least d? True Suppose 5*a + 3*u + 5 = -2*u, 3*a + 5*u + 9 = 0. Suppose -6*n - a*c + 8 = -n, -2*c + 8 = 4*n. Let x = 18 - 71/4. Is n less than x? True Let k = -47.11 - -75.34. Let c = 1.23 - k. Let u be 20/(-21) - 2/(-7). Is u at least c? True Let z = 14 - 11. Suppose 6*g - g - z*v - 5 = 0, 0 = 5*g + v + 15. Which is bigger: -5/8 or g? -5/8 Let y = -620 + 673. Which is smaller: y or 52? 52 Let x be (-1)/(25/(-181)) + (-385)/55. Which is smaller: x or 0? 0 Let j be 2/20*129 + (-8)/(-80). Suppose 9 = 3*s - 6. Suppose -q - 24 = -2*w - 3*q, 3*w + s*q - 38 = 0. Do w and j have different values? True Let a be ((-8)/20)/((-12)/5 - -2). Let j be 2 - (-3)/(-3) - (0 - a). Which is bigger: j or 5? 5 Let f = -18 + 26. Suppose 3*k - k = -f. Which is smaller: k or -2? k Let l = 0.037 + -65.037. Let p = l - -65.1. Let n = -5 - -3. Is p less than or equal to n? False Let d(u) = -3*u - 1. Let f = -9 + 9. Let z be d(f). Suppose 2*p - p = 0. Which is greater: p or z? p Let c = 1997.65 + -1994. Which is smaller: -1/4 or c? -1/4 Let w = -549 + 835. Which is bigger: w or 285? w Let x = 824 - 1057. Is -231 at least x? True Suppose -3*y - 2*y + 3*h = 3406, -y + 4*h = 671. Let v be 2*y/(-144) - 4. Let r = v - 55/9. Does r = -1? False Let q be 3/(-15) + 38/(-10). Let p be (q + 2)/(-1 - 0). Suppose 5*w + 28 = p*x, 0 = 3*w - 2*w - 3*x + 16. Is -5 greater than or equal to w? False Suppose -4*z - 116 = -2*z. Let c be (-1018)/18 + ((-96)/(-27))/(-8). Is c greater than z? True Suppose -45*w + 344 - 149 = 105. Let v(f) = -f**3 - 6*f**2 - 7*f - 1. Let l be v(-5). Which is greater: l or w? l Let g = 200/21 + -2441/210. Is -2 at least as big as g? True Let g(q) = -q**3 - 5*q**2 - q - 5. Let w be g(-5). Let c = w + -1. Let m be (-1360)/(-6545) - (-8)/(-14). Which is greater: m or c? m Let q be 6098/(-846)*(-5 - 39/(-6)). Let i = q - -65/6. Which is smaller: -1 or i? -1 Let o(c) = c**3 + 2*c**2 + 3*c + 3. Let i = -7 - -10. Suppose 0 = -i*j - 4*k - 26, 3*k + 26 = -3*j + 5. Let r be o(j). Which is bigger: 0 or r? 0 Let h = 20 + -12. Which is bigger: 1 or h? h Let g be (-1*(-4)/(-30))/(33/99). Which is bigger: g or -46? g Suppose -30 = -5*d - 5*r, 3 + 3 = 4*d - 2*r. Let v = 250 - 248. Suppose v*u = d*u + 1. Which is smaller: 2/21 or u? u Let o(p) = p**3 + 12*p**2 + p + 16. Let h be o(-12). Suppose -14*x = -10*x + 36. Let i = x - -12. Which is bigger: i or h? h Suppose -3*f - 3 = -12. Suppose -f*v + 42 + 6 = 0. Suppose -5*s + v = 3*h, 3*h + 2*h + 3*s = 0. Are 0 and h equal? False Let t be 279/39 + 4/(-26). Let s = -16 + t. Is s smaller than -12? False Let i(w) = w + 2. Let m(n) = -1 - 1 - n**2 + 5 + 2*n**2 - 6*n. Let s be m(5). Let k be i(s). Are k and 2 non-equal? True Let s(z) = z**2 + 9. Let t be s(14). Is t > 208? False Suppose -9*y - 2*y = 671. Let r = y - -40. Is -21 at most as big as r? True Let c = -9.63 + 6.63. Is 23 greater than or equal to c? True Let a be (4 + -1)*(2 - (-4)/6). Suppose 3*v + a = 11. Do 0 and v have the same value? False Let y = -515 - -1577/3. Is 12 equal to y? False Let r = 0.025 - 0.255. Let o = 0.13 + r. Let x be (-3 + (-54)/(-16))*-1. Is x at least as big as o? False Let f = 16 + 26. Let x = f - 40.3. Is 1 <= x? True Let o = 170 - 184. Is -12 equal to o? False Let s = -57.8 + 2.3. Let f = -56 - s. Which is bigger: f or -11? f Let w = -2088651/313 + 6673. Is w greater than 0? False Let r = -1.89 - -0.89. Is r greater than 10? False Let j be 2 - 3*(7 + (-9865)/(-15)). Is -1992 less than j? False Let l = 33.36 - 35. Let x = l - -1.4. Is 0.1 > x? True Let p be (2 - -8) + 17 + -28. Which is smaller: -22.3 or p? -22.3 Suppose f + 2 = 4. Suppose -17*h - 36 =
{ "pile_set_name": "DM Mathematics" }
.04 Sort 8, -20, -2, -26, -4, 4, 79 in increasing order. -26, -20, -4, -2, 4, 8, 79 Sort -4, -23, -105, -200, -9. -200, -105, -23, -9, -4 Sort -1, 23, -4, 3162/23, 0.5 in increasing order. -4, -1, 0.5, 23, 3162/23 Put 1, -139946, -4/7 in descending order. 1, -4/7, -139946 Sort 7.1, -41, -6194. -6194, -41, 7.1 Sort -202, -0.18, -5, 3, -1/6, 6 in descending order. 6, 3, -1/6, -0.18, -5, -202 Sort -39, -8, 19959, 0.3, 0.2 in descending order. 19959, 0.3, 0.2, -8, -39 Put -5, 3, 2, -2177, -70 in descending order. 3, 2, -5, -70, -2177 Sort -3/36910, -71/3, -0.03 in increasing order. -71/3, -0.03, -3/36910 Put -292, 27, -1712 in ascending order. -1712, -292, 27 Put -8, 3, 4, 9, -12, 2, 16 in descending order. 16, 9, 4, 3, 2, -8, -12 Put -8, -5, 20713, -2 in ascending order. -8, -5, -2, 20713 Put 0, 1, 1305560 in ascending order. 0, 1, 1305560 Sort 109, 0, 6, 1664, -2. -2, 0, 6, 109, 1664 Put 0, -607, -66, 1, 2, -92 in increasing order. -607, -92, -66, 0, 1, 2 Put -157828, 0.07, 2 in descending order. 2, 0.07, -157828 Sort -2, -98, 5, 671, 0, 1. -98, -2, 0, 1, 5, 671 Sort 178, 5, 3788 in decreasing order. 3788, 178, 5 Put 4873, -3, 3, -1/3, 23, 60/19 in descending order. 4873, 23, 60/19, 3, -1/3, -3 Put 2, 208295, 37 in decreasing order. 208295, 37, 2 Sort -2/5051, 1.4, -5, 1331 in increasing order. -5, -2/5051, 1.4, 1331 Sort 3/8, -4, -2, 22.4, 0, -10 in ascending order. -10, -4, -2, 0, 3/8, 22.4 Sort 1, -4/7, -0.06, 4440/11. -4/7, -0.06, 1, 4440/11 Put 42, -5, 0, 111, -9 in decreasing order. 111, 42, 0, -5, -9 Put -4, 5, 0.3, 1/673, 1/28, 4 in decreasing order. 5, 4, 0.3, 1/28, 1/673, -4 Sort 890, -6545, -2. -6545, -2, 890 Put 744, -105, 367 in increasing order. -105, 367, 744 Put -4, 11, 0, -48, -22, 1, -1 in descending order. 11, 1, 0, -1, -4, -22, -48 Put -1, 44, 3, 11, 2 in descending order. 44, 11, 3, 2, -1 Sort -2/3, 1/7, 4.93, -2, -43, -5 in descending order. 4.93, 1/7, -2/3, -2, -5, -43 Put 4312842, -1/5, -0.1 in ascending order. -1/5, -0.1, 4312842 Sort -5, 2.2, -10, -55.74 in decreasing order. 2.2, -5, -10, -55.74 Put 77, -18, 493, -5 in decreasing order. 493, 77, -5, -18 Sort -1, -7020, 64461 in descending order. 64461, -1, -7020 Put -1, 202430, 3213 in decreasing order. 202430, 3213, -1 Sort -2, -12, -29, 4, 1, -650 in ascending order. -650, -29, -12, -2, 1, 4 Sort 1890, 93, 3, 16, -5 in descending order. 1890, 93, 16, 3, -5 Put 3066/11, -1, 0.16 in decreasing order. 3066/11, 0.16, -1 Put 0.6, 2, -15, 2.7, 5/8, -2/5 in increasing order. -15, -2/5, 0.6, 5/8, 2, 2.7 Sort -2, 1, -900, 57676 in decreasing order. 57676, 1, -2, -900 Sort 59087, 0.3, 2.72 in decreasing order. 59087, 2.72, 0.3 Put -3, -9, -19, 11, -2, 5, 4 in descending order. 11, 5, 4, -2, -3, -9, -19 Put -11, -2, -3, 68, -8, 0, -168 in descending order. 68, 0, -2, -3, -8, -11, -168 Put -6178, -4, 637 in ascending order. -6178, -4, 637 Sort -9276, 2, -25, -1, -14, -5, -3 in descending order. 2, -1, -3, -5, -14, -25, -9276 Put -29, -5, 55, -30, 0, 4, 3 in increasing order. -30, -29, -5, 0, 3, 4, 55 Put 0.09, -1/4, 1/9, -5, 1/3, -91 in decreasing order. 1/3, 1/9, 0.09, -1/4, -5, -91 Put -210, -4, -132550 in increasing order. -132550, -210, -4 Put 1359, -103, 423 in descending order. 1359, 423, -103 Sort 5, -2, 17, 106, -37 in descending order. 106, 17, 5, -2, -37 Put -2, -0.3, 3, 97, 22 in descending order. 97, 22, 3, -0.3, -2 Put -2, -4, -5, 818, 9, 148, -3 in increasing order. -5, -4, -3, -2, 9, 148, 818 Put 4, 634/7, 3, 0.2, 32, -1/6 in ascending order. -1/6, 0.2, 3, 4, 32, 634/7 Sort -61, 872, -2, -3. -61, -3, -2, 872 Put -198, 10243, 14 in decreasing order. 10243, 14, -198 Sort -5, -2/5, -7754/133 in descending order. -2/5, -5, -7754/133 Sort -676, 427, 15 in descending order. 427, 15, -676 Sort 2, 0.18, -34/7, -0.9, 2/7 in decreasing order. 2, 2/7, 0.18, -0.9, -34/7 Put -4, 7/4, 2, 22, 0.4, 246, 1/9 in decreasing order. 246, 22, 2, 7/4, 0.4, 1/9, -4 Put -9, -10911, 1.2, 1/3 in decreasing order. 1.2, 1/3, -9, -10911 Put 4, 5, -3, 99, 20, 13, 45 in descending order. 99, 45, 20, 13, 5, 4, -3 Sort 73, -2220, 13, 1. -2220, 1, 13, 73 Put 119, 1.7, -4, 0.5, -1, 250, 4 in decreasing order. 250, 119, 4, 1.7, 0.5, -1, -4 Sort -2, -75127, 5, -4, -5, -9, 1. -75127, -9, -5, -4, -2, 1, 5 Put 169, 1, 2, -26, 3, 5 in increasing order. -26, 1, 2, 3, 5, 169 Sort 106, 100, 1645 in ascending order. 100, 106, 1645 Sort 0.07, 4/9, -2/737, -4, -1/3 in ascending order. -4, -1/3, -2/737, 0.07, 4/9 Sort -3, 22, 9, 5, -1, 2, -4 in increasing order. -4, -3, -1, 2, 5, 9, 22 Put -1, 2, 6, 290, -102 in increasing order. -102, -1, 2, 6, 290 Sort 4, 3, 17, 1, -14, -6, 108 in ascending order. -14, -6, 1, 3, 4, 17, 108 Sort 32, 46, 336, 9, 0 in increasing order. 0, 9, 32, 46, 336 Put -98.7, -112, 0.44 in increasing order. -112, -98.7, 0.44 Put -7, -2, -2299, -5, 5, 1, -3 in decreasing order. 5, 1, -2, -3, -5, -7, -2299 Sort -5, 10, 656, -84 in decreasing order. 656, 10, -5, -84 Put -145, 53, 9, -5, -2 in increasing order. -145, -5, -2, 9, 53 Sort -25, 4, -13875, -147 in descending order. 4, -25, -147, -13875 Put -6, 13, 0, -2, -56, -1, -3 in increasing order. -56, -6, -3, -2, -1, 0, 13 Sort -1, -2, 0, 224, -126, -5, 4 in increasing order. -126, -5, -2, -1, 0, 4, 224 Put -5, -3.583, 20/39 in increasing order. -5, -3.583, 20/39 Sort 0, 5, -32, -3, -11139, -2, -5 in descending order. 5, 0, -2, -3, -5, -32, -11139 Sort 67, -3, -41, 12, 289 in increasing order. -41, -3, 12, 67, 289 Sort 5, -2/735, -6, -4, -0.3, -3/7. -6, -4, -3/7, -0.3, -2/735, 5 Sort -2, 16, 91049, 1 in decreasing order. 91049, 16, 1, -2 Put 196, -4793, 1, 4 in increasing order. -4793, 1, 4, 196 Sort 117, -3, -0.029, -1, 1, 0.8. -3, -1, -0.029, 0.8, 1, 117 Put -3, -7, -2, 5029, -4, 9 in descending order. 5029, 9, -2, -3, -4, -7 Sort 14, -84, 0, 437 in decreasing order. 437, 14, 0, -84 Put 0, -1, 456, 5, -3, 2 in ascending order. -3, -1, 0, 2, 5, 456 Sort 0.4, -8.56, 3/455. -8.56, 3/455, 0.4 Put -654, -2, 203, -9, -6 in descending order. 203, -2, -6, -9, -654 Sort -18085, 12, -670. -18085, -670, 12 Sort -2, 89/174, 0, 1.29. -2, 0, 89/174, 1.29 Put -0.9, -2/13, 26, 13 in descending order. 26, 13, -2/13, -0.9 Put -199, -4, 4, 28789 in ascending order. -199, -4, 4, 28789 Sort 2276, -4, -71.7, 4 in ascending order. -71.7, -4, 4, 2276 Sort -0.1, -5658, -0.0866 in decreasing order. -0.0866, -0.1, -5658 Sort 4718, -4, 4, -9886 in increasing order. -9886, -4, 4, 4718 Put -2/4967, -5, 11, 2/11, 3, -2/5 in ascending order. -5, -2/5, -2/4967, 2/11, 3, 11 Sort 4, 5, 1, -2/80543, -1/5, -4/9. -4/9, -1/5, -2/80543, 1, 4, 5 Sort -0.38, 3/2, 153/107 in ascending order. -0.38, 153/107, 3/2 Sort 0.05, 188, 1, -2, 0.29, -4.9 in ascending order. -4.9, -2, 0.05, 0.29, 1, 188 Sort -12745, -1, 4, -157 in descending order. 4, -1, -157, -12745 Sort 0.3, -703999, -2 in decreasing order. 0.3, -2, -703999 Put -1736, 3, 139, -4 in descending order. 139, 3, -4, -1736 Sort 2, 37, 113210. 2, 37, 113210 Sort -1540, -2/5, -1/11, 2/3, 0.1 in decreasing order. 2/3, 0.1, -1/11, -2/5, -1540 Sort -1002331, 2, -17 in increasing order. -1002331, -17, 2 Sort 0, -201, 5, -5, -4, 1, 1201 in descending order. 1201, 5, 1, 0, -4, -5, -201 Sort 216, 276, 0, 5, -1 in descending order. 276, 216, 5, 0, -1 Sort 0, 4, -3, 3, -4, 242, 948 in descending order. 948, 242, 4, 3, 0, -3, -4 Sort -2, -8, 29, 219 in increasing order. -8, -2, 29, 219 Sort 7981, -3/2, -13/3. -13/3, -3/2, 7981 Put 3849, -32, 122, 0, 2 in decreasing order. 3849, 122, 2, 0, -32 Put -3, 2, 110753 in increasing order. -3, 2, 110753 Sort 129/2, 0.07, -0.1, 7, 1, -1.2 in increasing order. -1.2, -0.1, 0.07, 1, 7, 129/2 Put -2/9, 1/4, -0.5, 4, 1/3, 76937 in decreasing order. 76937, 4, 1/3, 1/4, -2/9, -0.5 Put -3, 2, -205, 0, -2, -19 in ascending order. -205, -19, -3, -2, 0, 2 Sort 2/9, 0.2, -13, 1/3, 2, 0.15, 5 in descending order. 5, 2, 1/3, 2/9, 0.2, 0.15, -13 Sort 2, -0.01, 1/4, -4.7, 3/31 in increasing order. -4.7, -0.01, 3/31, 1/4, 2 Sort -27, 61365, 0, -4. -27, -4, 0, 61365 Sort 0.34, -2/7, 0, -823, -3, -4. -823, -4, -3, -2/7, 0, 0.34 Sort 45, -35, -12, 3, -5, 0.06 in decreasing order. 45, 3, 0.06, -5, -12, -35 Sort 1, 5, -39811, -4, -2. -39811, -4, -2, 1, 5 Put -14, 1/2, -4, 3, -625 in increasing order. -625, -14, -4, 1/2,
{ "pile_set_name": "DM Mathematics" }
alue? (a) -5 (b) h (c) 2/5 (d) 1 b Let q = -0.06 - 0.94. Let l be 57/(-90) - (-1)/3. Let o = l + 11/20. What is the second biggest value in q, o, 4? o Let v = -1.7 + 1.63. Let k = v - -4.87. Let s = 5 - k. Which is the smallest value? (a) 4 (b) -2/5 (c) s b Let k = -5.39 - -0.39. What is the second smallest value in k, -2/3, 0.2, -1/2? -2/3 Let j = 19.1 + -18. Let s = j + -6.1. Which is the smallest value? (a) -1 (b) s (c) 1 b Suppose 0 = 3*u - 3 - 3. Let j be u*(-1 - 4/(-8)). Let h = 1 - 1.1. Which is the second smallest value? (a) j (b) h (c) 0 b Let k = 2 - 1.9. Let r = 2.7 - 3. Let f(h) = h**3 - 7*h**2 - 9*h + 15. Let z be f(8). What is the second biggest value in z, r, k? k Let d = -17 + 17. What is the third smallest value in d, 3, 4? 4 Let b be (30/(-25))/((-28)/10). What is the smallest value in 1/7, b, 4? 1/7 Let m be 8/(-4) + 2*22/28. What is the smallest value in -0.4, m, 0.03? m Let m be (-2)/(-6) + 26/(-6). Let i = 10 - 9. Which is the second biggest value? (a) 0.3 (b) m (c) i a Let p = 20 + -21.2. Which is the second biggest value? (a) p (b) 0.4 (c) 0.5 b Let b = -2.4 - -0.4. What is the third smallest value in b, -1/6, 4? 4 Let x = 2 - 1. Let q = -2 - x. Let a = 3 - 2.6. What is the smallest value in -0.5, a, q? q Let o = -23.7 - -20.7. What is the smallest value in -0.01, o, 5? o Let s = 0.08 - -0.1. Let f = -0.02 - s. Which is the third biggest value? (a) f (b) 0 (c) -2/7 c Let o = -41 + 41. Which is the third smallest value? (a) -4 (b) o (c) -1/7 b Let a be 4/90*3/((-12)/(-20)). Let x = 0.1 - 0. What is the smallest value in x, a, -3/5? -3/5 Suppose 0 = -5*k + 5*w - 55, -3*w + 5 = -2*k - 16. Let d = k + 14. Which is the biggest value? (a) d (b) -3 (c) -0.01 a Suppose -10 = -3*s - 37. Let j be (-15)/s*(-12)/8. Which is the second biggest value? (a) j (b) 2/17 (c) -0.07 c Let f be (-3)/(-3) + 3/(-9). Suppose -2*w = -5*w. Suppose w = 4*h - 9*h + 5. What is the second biggest value in f, h, 1/3? f Let r = -0.013 - 4.987. Which is the second biggest value? (a) r (b) -1/6 (c) -4 c Suppose -v + 9 = -3*d, 5*d - 3*v = -0*d - 19. Which is the second biggest value? (a) d (b) -0.1 (c) -1/71 b Let k = 1.2 + 2.8. Which is the second biggest value? (a) -4 (b) k (c) -2/5 c Let v be -1 - (-76)/(-32) - -3. Which is the third biggest value? (a) 0 (b) 1/5 (c) v c Let o = -3.3 + 3. Which is the second smallest value? (a) -3 (b) o (c) -0.4 c Suppose o = -s + 5, 3*o + 11 = -2*s + 27. Which is the second biggest value? (a) -3/5 (b) o (c) -2/11 c Suppose 10*g - 8*g = 2. Which is the biggest value? (a) g (b) 0.02 (c) 2 c Let d = -1622/9 - -180. Which is the biggest value? (a) 3 (b) 0.3 (c) d a Let j be 4/(-12) - 1/(-21). What is the third smallest value in 4, j, -3? 4 Let y = 0.8 + 0. Let v = y + -1. Let g = -323 - -323.2. What is the third smallest value in -1/4, v, g? g Let h be 27/(-243)*1*4. What is the second smallest value in h, 0.09, 0? 0 Let f = 161 + -159. What is the third smallest value in f, 6, 0.1? 6 Let f = -9 - -9. Let m = 0.1 + f. What is the third biggest value in m, -1, -4? -4 Let j = 7.83 - -0.17. Let n = 6 - j. Let l = 9 - 8.5. Which is the smallest value? (a) n (b) 4 (c) l a Suppose 0 = u - 2*t + 2, -t = -2*u - 0 + 5. Let d = u + -2. Suppose -h - d = -1. What is the biggest value in 1, h, 0.1? 1 Let n be (1/(-4))/(1/6). Let q be 68/(-144) - (-4)/18. Let r = 11/56 + -1/14. Which is the third smallest value? (a) r (b) n (c) q a Let s = -13 - -17. Let m be s/(-78)*(-4 - -1). Which is the third biggest value? (a) 2/9 (b) -0.4 (c) m b Let u = 0.042 - 5.442. Let i = -5.7 - -0.7. Let y = u - i. Which is the smallest value? (a) 3 (b) 0.4 (c) y c Let n = 7 - 11. Suppose 2*t = -5*k + 11, -3*k + k = -5*t + 13. Let o = 5.5 + -0.5. Which is the third biggest value? (a) n (b) o (c) k a Let f be 1/4*(-2 - (-24)/9). What is the second smallest value in 1, f, 1/3? 1/3 Let z = -4/3 - -17/6. What is the biggest value in z, -3, -1? z Let n = -2 - 3. Let o be 11/18 + (-4)/8. Which is the second smallest value? (a) o (b) 2/3 (c) n a Let b be (-48)/312 + 50/(-13). What is the second biggest value in 1, b, 2/3? 2/3 Let b = -0.22 + -0.08. Let t = -1.8 - -2. What is the third smallest value in 5, b, t? 5 Let r = 2 + -2.2. Let h = 9.1 - 0.1. Let p = -5 + h. What is the third smallest value in 3/5, r, p? p Let o = -23.9 + 24. Let m = -14 + 14.3. Which is the biggest value? (a) m (b) 4 (c) o b Let u = 73 - 73.6. Which is the smallest value? (a) u (b) -3 (c) -0.4 b Let x = -49/5 - -97/10. Which is the third smallest value? (a) x (b) 3/7 (c) -4 (d) 2/5 d Let q = -6.314 + 0.014. Let m = q + 7. Let g = 4.3 + m. Which is the third smallest value? (a) -1 (b) g (c) -4 b Let q = 64 - 71.2. Let y = q - -7. Which is the third biggest value? (a) -2/3 (b) y (c) 1 a Let p = 7.63 - 1.33. Let q = p - 6. What is the second smallest value in q, -5, -0.5? -0.5 Suppose 3*t + v = 6 - 22, 29 = -5*t - 4*v. Which is the smallest value? (a) -0.2 (b) t (c) -2/7 b Suppose -7 = -2*n + 5. Suppose 0 = -v + 1 - n. Let d be 6/(-3) - 8/v. Which is the biggest value? (a) 3 (b) d (c) -1 a Let q = 13 + -16. Let n be 3*(q - (-5 + 3)). What is the biggest value in 3/4, -2/9, n? 3/4 Let a = -1.7 - -3.7. What is the third smallest value in 0, -6, a? a Let z be -4 + 324/91 - 6/(-21). Let y = -1 + 2. Let p = y - -4. Which is the second biggest value? (a) -0.5 (b) p (c) z c Let r = 3 - 2. Let a be (-30)/(-20) - (-9)/(-3). What is the third smallest value in -3, r, a? r Let j be 28/(-33) + 12/66. Let r = -5.07 + 0.07. Let f = -146 + 434/3. Which is the second smallest value? (a) j (b) r (c) f c Let u = -680/3861 + -2/351. What is the second biggest value in 0.06, 0.1, u? 0.06 Suppose -4*s - 4*s = 8. Which is the second smallest value? (a) 1/5 (b) s (c) 2 a Let a = 1/15 - -37/120. What is the second smallest value in 5, a, 3, 3/4? 3/4 Let b = 42 + -45. Let d = -0.8 - 1.2. Let w = 0.5 + 0. What is the third biggest value in b, d, w? b Let t(x) = x**2 - 5*x + 1. Suppose y + 6 = -2. Let j = -5 - y. Let n be t(j). Which is the third biggest value? (a) -0.4 (b) -2 (c) n c Let n = 28/3 + -193/21. Suppose 0*w = w + 5*u + 13, -3*w + 4*u - 1 = 0. Which is the third smallest value? (a) w (b) n (c) 1 c Let c = 3 + -5. Let x = -8 + 6. Let v = x - -1. What is the biggest value in c, 3, v? 3 Let b = -0.2 + 0.7. Let x = b - 0.8. Let s = x - -0.1. What is the third biggest value in 4, s, 0? s Suppose b + 6*f - 3*f = 7, 3*f = -4*b + 10. Let v be (b/(-5))/((-4)/10). Suppose 0 = 2*j - 5*j. What is the second smallest value in 2, v, j? v Let r = -0.073 + 0.373. Which is the biggest value? (a) r (b) 5 (c) -1/3 (d) -2/9 b Let o be ((-135)/(-630))/(5/(70/(-36))). What is the smallest value in -0.5, o, 0.5? -0.5 Let n be (-350)/(-1078) - 2/11. What is the second biggest value in 0.1, 0, n? 0.1 Let o = -11 - -12. Which is the biggest value? (a) -3 (b) 0.1 (c) o c Let d = 5 + -4.8. Let o = d + -3.2. Which is the third smallest value? (a) 3 (b) o (c) 2/7 a Let g = -2.6 + 2.3. Which is the third biggest value? (a) g (b) -2/15 (c) 2 a Let v = -5 + 5.05. Let l = v - 2.05. Which is the biggest value? (a) 4 (b) l (c) 1 a Let z = -6 - -2. Let p = z + 3. Which is the smallest value? (a) -4/7 (b) p (c) -5 c Let p = -3 + 3. Let k be 3*(2 + p + -1). Suppose -4*g = 3*h + 25, k*h = -2*h + 5*g + 5. Which is the third smallest value? (a) 0.2 (b) h (c) 5 c Let f = 12 - 11.4. Let b = -1.1 + f. What is the second smallest value in b, 3, -2/7? -2/7 Let x be 3 + 0 - (-16)/(-6). Let c = -6 + 4. Let f = -5 - -4.5. What is the third biggest value in c, x, f? c Suppose 5*d = 6*d + 1. What is the third smallest value in -0.5, d, 4? 4 Let w = -1/66 + -29/22. Which is the biggest value? (a) 9/4 (b) w (c) 4 c Let o = 1824/11 + -166. Let y = 9/7 - 93/56. Which is the second biggest value? (a) y (b) o (c) -2/19 b Let p = -5 + 0. What is the second biggest value in 0.7, p, 3, 4? 3 Suppose 4*t + 15 = -t. Which is the second biggest value? (a) t (b) 0.4 (c) 0.2 c Suppose 5*d - 20 = 0, -4*d + 28 = 3*w - 6*w. Let z be (-2)/(-42) - w/14. What is the third smallest value in 5, 2, z? 5 Let p = -0.03 - -2.03. Let y = 2 - 1
{ "pile_set_name": "DM Mathematics" }
inutes are there between 10:05 PM and 7:43 AM? 578 How many minutes are there between 1:27 AM and 12:43 PM? 676 What is 504 minutes after 2:50 PM? 11:14 PM How many minutes are there between 11:48 PM and 1:58 AM? 130 How many minutes are there between 4:09 AM and 4:45 AM? 36 How many minutes are there between 6:42 PM and 4:14 AM? 572 What is 156 minutes before 12:19 PM? 9:43 AM What is 115 minutes after 1:37 PM? 3:32 PM What is 481 minutes before 3:03 PM? 7:02 AM How many minutes are there between 9:12 AM and 2:21 PM? 309 How many minutes are there between 6:45 AM and 7:20 AM? 35 What is 678 minutes before 6:43 AM? 7:25 PM What is 688 minutes before 1:07 AM? 1:39 PM What is 682 minutes after 2:09 AM? 1:31 PM How many minutes are there between 11:19 AM and 10:31 PM? 672 How many minutes are there between 11:05 AM and 4:29 PM? 324 How many minutes are there between 12:40 AM and 12:02 PM? 682 What is 76 minutes before 9:02 AM? 7:46 AM How many minutes are there between 5:19 PM and 7:34 PM? 135 What is 526 minutes after 6:27 AM? 3:13 PM How many minutes are there between 9:11 AM and 2:00 PM? 289 How many minutes are there between 11:07 AM and 11:51 AM? 44 How many minutes are there between 10:12 PM and 12:19 AM? 127 What is 171 minutes after 2:14 AM? 5:05 AM How many minutes are there between 1:30 PM and 12:46 AM? 676 How many minutes are there between 9:22 PM and 11:51 PM? 149 What is 237 minutes after 6:39 PM? 10:36 PM How many minutes are there between 11:53 AM and 1:30 PM? 97 How many minutes are there between 1:39 AM and 4:04 AM? 145 What is 341 minutes before 5:10 PM? 11:29 AM How many minutes are there between 12:30 AM and 6:30 AM? 360 What is 302 minutes before 10:32 AM? 5:30 AM What is 463 minutes after 5:45 PM? 1:28 AM What is 20 minutes before 11:27 AM? 11:07 AM What is 373 minutes before 2:47 AM? 8:34 PM What is 126 minutes after 10:14 AM? 12:20 PM What is 167 minutes after 8:47 AM? 11:34 AM How many minutes are there between 10:08 PM and 8:25 AM? 617 What is 341 minutes before 8:07 PM? 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117 What is 419 minutes after 3:33 PM? 10:32 PM How many minutes are there between 8:58 PM and 2:26 AM? 328 How many minutes are there between 3:37 PM and 1:57 AM? 620 How many minutes are there between 11:08 AM and 5:35 PM? 387 What is 568 minutes before 1:13 PM? 3:45 AM How many minutes are there between 5:49 PM and 6:30 PM? 41 What is 681 minutes after 12:33 PM? 11:54 PM How many minutes are there between 4:03 AM and 11:11 AM? 428 What is 137 minutes before 2:34 PM? 12:17 PM What is 556 minutes before 1:49 PM? 4:33 AM What is 371 minutes before 1:09 PM? 6:58 AM What is 149 minutes before 11:50 PM? 9:21 PM How many minutes are there between 5:31 AM and 7:12 AM? 101 How many minutes are there between 5:58 PM and 11:19 PM? 321 How many minutes are there between 10:54 AM and 1:41 PM? 167 What is 136 minutes after 1:43 AM? 3:59 AM What is 303 minutes before 9:30 AM? 4:27 AM How many minutes are there between 3:47 AM and 6:21 AM? 154 What is 481 minutes after 8:22 AM? 4:23 PM How many minutes are there between 7:47 AM and 8:22 AM? 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387 What is 691 minutes after 10:19 PM? 9:50 AM What is 552 minutes before 12:22 AM? 3:10 PM What is 547 minutes after 9:33 AM? 6:40 PM How many minutes are there between 3:37 AM and 6:30 AM? 173 What is 661 minutes after 5:15 AM? 4:16 PM What is 596 minutes before 4:01 PM? 6:05 AM How many minutes are there between 10:48 PM and 1:03 AM? 135 What is 249 minutes after 10:32 PM? 2:41 AM What is 532 minutes before 10:55 PM? 2:03 PM How many minutes are there between 11:34 AM and 9:57 PM? 623 How many minutes are there between 12:51 AM and 8:10 AM? 439 What is 543 minutes after 3:32 PM? 12:35 AM How many minutes are there between 12:44 PM and 5:27 PM? 283 How many minutes are there between 4:29 PM and 11:57 PM? 448 What is 300 minutes after 6:24 PM? 11:24 PM How many minutes are there between 11:14 PM and 7:26 AM? 492 How many minutes are there between 6:18 AM and 9:11 AM? 173 How many minutes are there between 2:17 AM and 7:19 AM? 302 How many minutes are there between 7:53 AM and 6:32 PM? 639 How many minutes are there between 2:30 AM and 5:47 AM? 197 What is 505 minutes before 6:17 PM? 9:52 AM What is 470 minutes after 2:25 PM? 10:15 PM How many minutes are there between 4:20 AM and 4:03 PM? 703 How many minutes are there between 12:56 AM and 5:39 AM? 283 What is 605 minutes before 2:43 PM? 4:38 AM How many minutes are there between 8:54 AM and 5:52 PM? 538 How many minutes are there between 9:34 PM and 6:46 AM? 552 How many minutes are there between 1:54 AM and 11:39 AM? 585 How many minutes are there between 3:53 AM and 7:51 AM? 238 What is 372 minutes after 5:22 AM? 11:34 AM What is 682 minutes after 8:29 PM? 7:51 AM How many minutes are there between 4:27 PM and 3:27 AM? 660 What is 595 minutes after 11:25 AM? 9:20 PM What is 514 minutes before 4:35 PM? 8:01 AM How many minutes are there between 4:06 PM and 4:47 PM? 41 How many minutes are there between 7:53 AM and 6:05 PM? 612 What is 59 minutes before 7:57 AM? 6:58 AM How many minutes are there between 6:18 PM and 10:52 PM? 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{ "pile_set_name": "DM Mathematics" }
o the form y*q**2 + c + l*q + x*q**3 and give x. -2 Rearrange 4 - 18 + 4*u**2 - 223*u + 223*u to a*u**2 + h*u + o and give a. 4 Express -4*g**3 + 0*g**2 + 176*g**4 + g**2 - 1 - 175*g**4 in the form i*g**3 + d*g**2 + b + r*g**4 + n*g and give b. -1 Express (3*w - 3*w - 2*w**2)*(0*w - 3*w + 2*w) - 3*w**3 + 14*w**3 + w**3 - 10*w**3 + 35*w**3 - 17*w**3 as x + z*w**3 + d*w**2 + k*w and give z. 22 Express -11 + 19*b**3 - 30*b**3 - 22 - 2*b + 10*b**3 in the form q*b + l + o*b**3 + w*b**2 and give l. -33 Rearrange -68*i**2 - 187*i**2 - 36*i**2 to the form m*i + z*i**2 + t and give m. 0 Rearrange 124 - 28*x - 241 + 4*x**2 + 117 to the form j + r*x + i*x**2 and give r. -28 Rearrange 0 - 1 + 2*k**2 - 115*k**3 + 36*k**3 + 27*k**3 to t*k + h*k**2 + w*k**3 + z and give z. -1 Rearrange -4*h - 450 + 2*h + 320 to z*h + n and give z. -2 Express -9 + 52*u + 1 + 10*u + 1 in the form q + x*u and give x. 62 Express 15*o**4 - 10*o**2 + 25*o**4 - 2*o**3 - 41*o**4 - 2*o**3 + 2*o as l + f*o**3 + g*o**4 + r*o**2 + h*o and give r. -10 Express -84 - 69 + 153 - 2166*y**2 as b*y**2 + l*y + f and give b. -2166 Rearrange 12*b + 0*b + 33*b - 5*b**2 to the form m + s*b**2 + v*b and give v. 45 Express -13*s**3 - 17*s**3 - s + 9*s**3 - 2 - 6*s**3 in the form d*s + q*s**3 + l*s**2 + w and give q. -27 Rearrange (18 - 5 - 15)*(-4*p + 2*p + 105 - 132) to the form z + c*p and give z. 54 Express (-4 + 5*d + 4)*(2 - 4 + 1)*(232*d - 189*d - 117*d) in the form s*d + a*d**2 + i and give a. 370 Express (2 + 2 - 2)*(5*s**2 + 2*s**2 - 6*s**2)*(-3 - s + 3) - 2*s**3 + 10*s**3 - 3*s**3 as w*s**2 + z*s + q + i*s**3 and give i. 3 Rearrange -129*l - 1017*l**2 - 64*l + 1015*l**2 to the form i*l**2 + o*l + s and give o. -193 Rearrange (-2*q**2 + 0*q**2 + 0*q**2)*(0*q**2 + 10*q**2 - 2*q**2) + 19*q**4 - 63 + 63 to the form w*q**4 + x*q + b*q**2 + s + c*q**3 and give w. 3 Express 12 + 2*g**4 - 5 + 6 - 3*g**3 - 7 + 5*g**2 - 4 as t*g**3 + n + k*g**4 + y*g**2 + u*g and give y. 5 Express -2*z**2 - 8*z**2 + 0*z**2 + (z - 5 + 5)*(1 - 1 - 4*z) + z**2 - 2*z**2 - 2*z**2 in the form w*z + r + x*z**2 and give x. -17 Express (14*d + 7*d + 199*d)*(-6*d + 2*d - 8*d) in the form b + c*d + p*d**2 and give p. -2640 Rearrange 2*u - 2 - 11 + 12 - 4*u + 57 to p + k*u and give k. -2 Rearrange (-17*z**2 - 14*z**2 + 62*z**2)*(4*z + 4*z + 1 - z) to the form m*z**3 + o + s*z + k*z**2 and give m. 217 Express (42 - 49*r - 20 - 24)*(1049 - 1049 + 30*r) as v*r + g*r**2 + p and give v. -60 Express (30 - 17 - 7 + 27*k**3)*(k - 4*k + 3 + 4*k) as v*k**2 + y*k**4 + q*k + l + b*k**3 and give y. 27 Express (7*i + 0 - 4 + 3)*(-i - 13 + 10 + 25*i**2 + 5) in the form f*i**2 + g*i**3 + t + m*i and give g. 175 Rearrange 58 - 3*g**2 + 3*g**4 - 26 + 2*g**3 - 27 to u*g**2 + k*g + z + c*g**4 + o*g**3 and give c. 3 Express s**2 + 5*s + s**3 - 2*s**4 + 12 - 2*s - 10 in the form m*s**4 + k*s**2 + v + d*s + p*s**3 and give k. 1 Express -34 - 11*h + 33 + 50*h**4 + 8*h in the form l*h + m*h**3 + t*h**4 + a*h**2 + v and give l. -3 Express (-11*d**2 - 3*d**2 + 11*d**2)*((-1 + 1 - 1)*(-3 + 3 + 2) + 2 + 0 - 3 + (-3 + 0 + 0)*(4 - 1 - 1) + 3 - 2 + 0) in the form k + j*d + l*d**2 and give l. 24 Rearrange -77*c**2 + 77*c**2 + 5*c**3 + (-7*c**2 - 8 + 8)*(-7*c - 5*c + 5*c) to m*c + j*c**3 + l*c**2 + w and give j. 54 Rearrange -2 - t**3 - 256*t**2 + 504*t**2 - 56*t - 245*t**2 to q*t**3 + h*t + x*t**2 + j and give q. -1 Express 3*j**2 + 9*j**3 + 10*j - 1 - 50*j + 42*j in the form i*j**2 + b + n*j + a*j**3 and give i. 3 Express -10*u**3 + 14*u**3 + 2*u**4 + u + 7*u**2 - 9*u**2 - 3*u**3 - 1 as p*u**2 + k + h*u**3 + x*u**4 + o*u and give k. -1 Express 2*q**4 - 2*q**3 - 2*q**3 + 3 + 3*q**3 + 2*q**3 as i*q + x*q**3 + l*q**2 + d*q**4 + z and give x. 1 Express -24 - 23 + 49 - 76*g as x + k*g and give k. -76 Express 148*i - 25*i + 31*i + 20*i in the form v + z*i and give v. 0 Express -33*o + 95*o**3 + 2 - 40*o**3 - 57*o**3 + 2*o**2 in the form u*o**2 + p*o**3 + b + d*o and give b. 2 Express (-2*i**2 + 0 + 0)*(1 - 2 + 3) - 4*i**2 + 0*i**2 + i**2 + (-2 + 3*i + 2)*(-61 - 10*i + 61) as r*i**2 + b + y*i and give r. -37 Rearrange (0*w + 3*w - 2*w - 2*w - 6*w - 3*w + (1 - 1 + 2*w)*(0 + 1 - 3))*(19*w**2 - 227*w + 227*w) to the form j*w**2 + t + u*w**3 + g*w and give u. -266 Rearrange 22*i**2 - 4*i**2 + 8*i**2 + 1 + 0 + 3*i**3 + 0*i**2 to the form u*i**3 + j*i + g + y*i**2 and give j. 0 Express (4*c + 2*c - 4*c)*(-2 + 5 - 1)*(180 + 168 + 212)*(1 - 1 + 1) in the form f*c + z and give f. 2240 Express 79*c + 60*c + 9*c + 94*c - 25*c in the form k + q*c and give q. 217 Rearrange -12*r**3 - 5 - 8 + 37 - 14 - r**2 - 15 to c*r**3 + p*r**2 + m + w*r and give c. -12 Express (2 - 1 - 3)*(1174*q - 973*q + 1491*q) as x + g*q and give g. -3384 Express 178*f**2 + 9*f**2 - 3*f**3 + 173*f**2 + 5*f**3 - 1 - 90*f**2 as w*f**2 + c*f + j + a*f**3 and give w. 270 Rearrange (-5*j**4 - 7*j**4 + 0*j**4)*(0 + 4 - 3) + 0 - 2 + 8*j - 7*j - 2*j**4 to h + a*j**3 + l*j**4 + u*j**2 + v*j and give v. 1 Rearrange (1 - 1 + 2*z**4)*(45 + 51 - 240) to the form i*z + a*z**2 + k + t*z**4 + v*z**3 and give t. -288 Express -1 - 2*o**3 + 1 - 3*o - 40 + 4*o**3 + o**3 as k*o + n*o**2 + x + i*o**3 and give k. -3 Express (-103 - 8 + 18)*(2*t + 1 - 1) - 33 - 4*t + 33 in the form y*t + w and give y. -190 Express 16219 - 208*o - 16219 in the form d*o + a and give a. 0 Rearrange -112*w - 120*w - 76*w + 109*w to z*w + l and give z. -199 Rearrange (3 + y - 3 + 3*y + 4*y - 6*y + (0*y - 2*y + 0*y)*(0 - 3 + 1) + 3 + 2*y - 3)*(11 + 19 - 8) to m + l*y and give l. 176 Express (-37 + 17 + 54)*(0*w + 3*w - 7*w + 7*w - 3*w - 2*w + (3 + 1 - 2)*(-w + 3*w + 0*w) + w + 0*w + 0*w) in the form n + i*w and give i. 102 Rearrange (2*h + 0*h - 4*h)*(-3 - 1 + 2) + 2*h + 0*h - h + 8*h + 50*h + 76*h to n + b*h and give b. 139 Express 2 + 28*i + 8*i**3 + 5*i**2 - 3 - 30*i + 0 as w*i + k + l*i**3 + b*i**2 and give k. -1 Rearrange 2 - 16 + 8 + 125*x**3 - 9*x**3 to the form g + a*x**2 + m*x + s*x**3 and give s. 116 Rearrange -15220*s**2 + 15220*s**2 - 493*s**3 - s to the form f + u*s**2 + a*s + g*s**3 and give g. -493 Express (82 - 50 + 97)*(-2*x - 2*x + 7*x) as s + c*x and give c. 387 Rearrange 19*y**2 - 38*y**2 - 83*y**3 + 20*y**2 to the form d*y + v*y**3 + t + k*y**2 and give v. -83 Express ((0 + 2*p + 0)*(3 - 5 + 1) - p - p + p + 0*p + 4*p - 5*p - 8 - 8*p + 8)*(1 - 5 + 2) as g*p + u and give g. 24 Rearrange ((3 + 2 - 3)*(0 + 0 - z) + z + 0*z - 3*z)*(-2*z**2 - 155 - 8*z**3 + 154 - 6*z**3) to o*z + w*z**4 + q + h*z**3 + j*z**2 and give o. 4 Rearrange 62*b + 5*b**2 - 62*b - 38*b**3 + 3*b**3 to x + z*b**3 + d*b + l*b**2 and give z. -35 Rearrange 2*t - 1 + 1 + (-418*t - 235*t + 86*t)*(-1 + 6 - 3) + (-1 + 1 + t)*(-1 + 3 + 0) to m*t + x and give m. -1130 Rearrange 7 + 0*f**3 - 35*f**3 - 6 + (2*f**2 + 0*f**2 - 4*f**2)*(2*f - 6*f - 3*f) to c*f**2 + t*f + h + r*f**3 and give h. 1 Rearrange -2 + 3*x + 2 + (1 + 0 + 2)*(-14 + 19 + 17)*(2*x - 2*x - 2*x) to z + g*x and give g. -129 Rearrange 143*n + 8*n**3 - 13*n**2 - 6*n**3 + 13*n**2 to the form w*n**2 + t*n + j*n**3 + v and give v. 0 Rearrange 479*h**2 + 6 - 32 - 478*h**2 + 3 to the form p*h + d + n*h**2 and give n. 1 Express (o + 3*o - 2*o)*(-o**2 + 0*o**2 - o**2) + 3*o**3 - o**3 - 4*o**3 + 12*o**3 + 2*o**2 + 3*o**3 - o**2 as b + k*o**3 + q*o + l*o**2 and give k. 9 Rearrange 49*f + 110*f + 479*f + 546*f to the form a + q*f and give q. 1184 Express -3*n + 2 + 143*n**3 - 62*n**3 - 92*n**3 in the form x + m*n + b*n**3 + y*n**2 and give x. 2 Rearrange (0*x - 2*x + 3*x)*(291 + 260 + 2884 + 339 + 4415) to the form p*x + i and give i. 0 Rearrange -3 + s + s - 3*s - 61 + 2*s + 61 + (0*s + s + 0*s)*(-2 - 1 + 5) - 14 + 14 + 11*s to a*s + u and give u. -3 Express -1026*n + 1262*n + 1641*n + 459*n as f + j*n and give j. 2336 Express (1047 - 668 + s - 996)*(-4*s + 4*s + 2*s**2) as w*s**3 + l + v*s**2 + y*s and give w. 2 Rearrange -2 - 2*n + 86*n**2 - 3*n + 5*n + n**3 - 3*n**4 - 91*n**2 to the form v*n + y + b*n**3 + m*n**2 + f*n**4 and give b. 1 Express 18*x**4 + 2 - 46*x**4 + 18*x**4 - 44*x - x**3 + 12*x**4 in the form c*x + n*x**4 + o*x**3 + h*x**2 + j and give n. 2 Express 11*w**4 - 4*w**4 - 4*w**4 + (-3*w + 4*w - 2*w)*(w**2 - w**2 + w**2)*(57*w - 129*w + 43*w) as n*w**4 + f + g*w + b*w**2 + c*w**3 and give n. 32 Expres
{ "pile_set_name": "DM Mathematics" }
35*s(k). What is x in v(x) = 0? -1, 12 Let a = -74 + 73. Let r be (a - 123/(-24)) + -4. Factor -1/8*o**3 + 0 + r*o - 1/8*o**2 + 1/8*o**4. o*(o - 1)**2*(o + 1)/8 Factor 6*k - 2*k - 17*k - 11*k + 3*k**2 - 6*k. 3*k*(k - 10) Suppose 0 = 5*z + 4*a + 65, -3*a + 30 = -5*z - 0*z. Let r = z - -14. Factor 5*c**r - 4*c**5 - 2*c**3 + c**5. 2*c**3*(c - 1)*(c + 1) Let t(c) be the second derivative of -c**6/30 - 11*c**5/20 + 13*c**4/12 + 11*c**3/6 - 6*c**2 + 99*c. Factor t(w). -(w - 1)**2*(w + 1)*(w + 12) Let w(q) = -q**3 - 5*q**2 + 7*q - 1. Let p be w(-5). Let o = p + 38. Solve -k**4 + 5*k**3 - o*k**3 + 3*k**4 - 3*k**4 = 0 for k. 0, 3 Let x(i) = -i - 20. Let a be x(-7). Let g = -11 - a. Factor 2*y - 8*y**2 + 5 + g*y**3 - 6*y**3 - 2*y**3 - 1. -2*(y + 1)**2*(3*y - 2) Let j(h) be the third derivative of -h**6/96 - 3*h**5/16 - 5*h**4/4 - 10*h**3/3 + 2*h**2 - 146*h. Determine d, given that j(d) = 0. -4, -1 Let x(f) = 6*f**5 - f**4 + 3*f**3 + 3*f**2 - 6*f - 6. Let i(l) = l**5 + l**4 + l**3 + l**2 - 2*l - 2. Let s(j) = 3*i(j) - x(j). Factor s(k). -k**4*(3*k - 4) Let p be 4 - (-1)/1 - -1. Solve 2*h**4 - h**2 - 3*h**4 - 4*h**2 + p*h**4 = 0. -1, 0, 1 Let d be (4/5 + 0)/((-12)/(-20)). Factor -d + 4/3*t - 1/3*t**2. -(t - 2)**2/3 Factor 0 - 14/5*p**3 + 0*p**2 - 2/5*p**4 + 0*p. -2*p**3*(p + 7)/5 Let z be -1*3*77/(-33). Factor -14*h**3 - h**2 + 6*h**4 + z*h**2 + 7*h**2 - 9*h**2. 2*h**2*(h - 2)*(3*h - 1) Let v(r) = r**2 + 1. Let i(m) = 0 + 33 - m**2 - 6*m**2 + 12*m + 5*m**2. Let g(b) = -i(b) - 3*v(b). Factor g(d). -(d + 6)**2 Find n, given that -21*n**2 + 3*n**4 + 110*n**3 - 299*n**3 + 97*n**3 + 110*n**3 = 0. -7, 0, 1 Let f(u) = -2*u**3 - u**2 + u - 1. Let k(x) = -45*x**3 - 70*x**2 + 140*x - 100. Let j(s) = -25*f(s) + k(s). Factor j(l). 5*(l - 5)*(l - 3)*(l - 1) Suppose -17 = -4*x + 3. Let m(k) = 2*k**3 - 2*k**2 - 2*k - 2. Let y(a) = -2*a**3 + 3*a**2 + 2*a + 2. Let f(p) = x*m(p) + 4*y(p). Let f(z) = 0. Calculate z. -1, 1 Suppose 133*z = 145*z. Let v(y) be the first derivative of -3/4*y**4 + 2*y**3 + z*y - 1 + 9/2*y**2. Factor v(d). -3*d*(d - 3)*(d + 1) Let j be 37/((-148)/(-24)) + (1 + 1 - 5). Factor -2*b - 7/2*b**4 - 23/2*b**j + 0 - 10*b**2. -b*(b + 1)*(b + 2)*(7*b + 2)/2 Let k = 2 - 0. Factor -2*r**k - 15*r**4 + 4*r**3 + 5*r**3 + 0*r**2 + 8*r**2. -3*r**2*(r - 1)*(5*r + 2) Suppose 181*v = 192*v. Factor 0*b + 2/13*b**4 + v + 0*b**3 - 2/13*b**2. 2*b**2*(b - 1)*(b + 1)/13 What is w in 18*w**5 - 9*w**5 - 16*w**3 - 11*w**5 - 14*w**3 + 16*w**4 = 0? 0, 3, 5 Let 112/11*f + 0 + 680/11*f**2 + 636/11*f**3 - 1330/11*f**4 - 98/11*f**5 = 0. Calculate f. -14, -2/7, 0, 1 Let x(v) be the third derivative of -v**7/42 - v**6/3 - 11*v**5/12 + 25*v**4/6 - 27*v**2 + 5*v. Factor x(g). -5*g*(g - 1)*(g + 4)*(g + 5) Let x be (-721)/105 + (-2)/15. Let q be -3*(182/6)/x. Solve 8*v + q*v**4 + 10*v**4 + 28*v**2 - 3*v**4 + 4*v**5 + 36*v**3 = 0. -2, -1, 0 Find m, given that -48*m**2 - 3/2*m**3 - 1176 - 462*m = 0. -14, -4 Suppose -306*q**3 - 3*q**5 + 481*q**3 - 33*q**4 - 42*q**2 + 105*q + 75 - 277*q**3 = 0. What is q? -5, -1, 1 Let i be (-2246)/(-50) - 6/(-75). Let c = i + -42. Factor -6/5 + 21/5*t - c*t**2. -3*(t - 1)*(5*t - 2)/5 Let p(b) = -11*b**4 - 79*b**3 - 449*b**2 - 741*b. Let h(q) = -10*q**4 - 80*q**3 - 450*q**2 - 740*q. Let t(m) = -6*h(m) + 5*p(m). Factor t(a). 5*a*(a + 3)*(a + 7)**2 Let s(g) be the first derivative of 4/15*g**3 + 8/5*g + 6/5*g**2 + 21. Suppose s(f) = 0. What is f? -2, -1 Let s = -4889 + 14671/3. Factor 4/3 - s*l + 1/3*l**2. (l - 2)**2/3 Let a = 258 - 231. Suppose -2*d + d = a*d. Find i such that d*i**2 - 4/7*i**3 + 0*i + 0 + 2/7*i**4 = 0. 0, 2 Suppose 2 = 3*p + 2*a - 3*a, -4*p = -3*a + 4. Suppose -p*m + 12 = -54. Factor -m*q**3 + 2 - 1 + 2 - 2*q - 12*q**4 - q - 27*q**2. -3*(q + 1)**3*(4*q - 1) Let w(y) be the first derivative of -4*y**3/3 + 44*y**2 - 84*y + 448. Determine q, given that w(q) = 0. 1, 21 Let g(m) be the third derivative of -1/36*m**6 + 0*m + 5/36*m**4 - 1/9*m**3 - 21*m**2 + 0 - 1/30*m**5 + 4/315*m**7. What is x in g(x) = 0? -1, 1/4, 1 Let f(b) = b**5 + 4*b**4 + 2*b**3 - 3*b**2 - 3*b - 1. Let w be 4*(20/(-4) + 4). Let n(r) = r**4 + r**3 - r - 1. Let s(v) = w*n(v) + 4*f(v). Factor s(l). 4*l*(l - 1)*(l + 1)**2*(l + 2) Factor 6*q + 5*q**3 - 3*q**3 + 2 - 91*q**2 + 97*q**2. 2*(q + 1)**3 Let q(s) be the second derivative of -s**8/420 + s**7/210 + s**6/90 - s**5/30 + 16*s**3/3 + 21*s. Let f(j) be the second derivative of q(j). Factor f(g). -4*g*(g - 1)**2*(g + 1) Let r be ((-207)/(-345))/((-8)/(-10)). Factor -3/4*m + 1/4*m**4 - 1/2 + r*m**3 + 1/4*m**2. (m - 1)*(m + 1)**2*(m + 2)/4 Let o = 4 - -5. Let a(s) = -s**2 + 8*s + 12. Let u be a(o). What is q in u*q + 0 + 3/2*q**3 + 9/2*q**2 = 0? -2, -1, 0 Factor 7/2*d - 2 + d**2. (d + 4)*(2*d - 1)/2 Factor -1/3 - 350/3*p - 349/3*p**2. -(p + 1)*(349*p + 1)/3 Let u = 2559/190 + 3/95. Let s be (-63)/35*30/(-4). What is r in 3*r**2 + u*r**3 - s*r - 3 = 0? -1, -2/9, 1 What is g in 0 - 64*g - 236/3*g**3 - 28/3*g**4 - 544/3*g**2 = 0? -4, -3/7, 0 Let o(l) be the first derivative of l**6/42 - 2*l**5/35 - 5*l**4/14 + 8*l**3/21 + 33*l**2/14 + 18*l/7 + 293. Find r such that o(r) = 0. -2, -1, 3 Let t(n) be the first derivative of -2*n**3/21 - 26*n**2/7 - 338*n/7 - 66. Factor t(j). -2*(j + 13)**2/7 Factor 8*d**3 - 11*d**3 + 5*d**2 - d**4 + 3*d + 4*d**3. -d*(d - 3)*(d + 1)**2 Let f(u) be the third derivative of u**6/630 - u**5/105 + u**4/42 - 2*u**3 - 15*u**2. Let x(t) be the first derivative of f(t). Solve x(d) = 0 for d. 1 Let s(j) be the third derivative of j**8/50400 + j**7/12600 + 17*j**5/60 - 11*j**2. Let d(a) be the third derivative of s(a). Factor d(h). 2*h*(h + 1)/5 Let c(k) be the first derivative of 40*k + 10*k**2 - 25/4*k**4 + 17 - 10*k**3 - k**5. What is g in c(g) = 0? -2, 1 Let 2/3*q**4 + 0*q + 0 + 2*q**3 - 8/3*q**2 = 0. Calculate q. -4, 0, 1 Let p(s) be the first derivative of s**4/14 - 10*s**3/21 - 6*s**2/7 - 207. What is v in p(v) = 0? -1, 0, 6 Solve -4/3*s + 2/5*s**2 - 16/15 + 8/15*s**3 - 2/15*s**4 = 0 for s. -1, 2, 4 Let p = 55 - 50. Let 60*a + 4*a**2 - 30*a - 4 - 34*a - p*a**2 = 0. What is a? -2 Let v(z) be the first derivative of 0*z + 2/9*z**3 + 3*z**2 + 1/30*z**5 - 1/4*z**4 + 6 + 1/45*z**6. Let d(l) be the second derivative of v(l). Factor d(w). 2*(w - 1)*(w + 2)*(4*w - 1)/3 Let z(c) be the first derivative of 2/45*c**5 + 0*c - 8/27*c**3 - 24 + 1/18*c**4 - 4/9*c**2. Factor z(g). 2*g*(g - 2)*(g + 1)*(g + 2)/9 Let g(d) be the third derivative of d**8/6720 - d**7/280 + 3*d**6/80 + 17*d**5/30 + 12*d**2. Let n(l) be the third derivative of g(l). Factor n(v). 3*(v - 3)**2 Let y(s) = -3*s**2 + 9*s - 1. Let m(k) = -k**2 + 4*k - 1. Suppose 0 = -5*q + 4*c + 16, -2*c + 6 = -4*q + 5*q. Let a(w) = q*y(w) - 10*m(w). Factor a(x). -2*(x - 1)*(x + 3) Let s = 52 - 51. Let x(a) = 5*a**3 - a**2 - 5*a + 1. Let o(w) = -w**3 + w. Let d(j) = s*x(j) + 4*o(j). What is p in d(p) = 0? -1, 1 Let m(c) be the first derivative of 1/4*c - 1/8*c**4 + 1/6*c**3 - 1/24*c**6 - 3/20*c**5 + 9 + 3/8*c**2. Factor m(o). -(o - 1)*(o + 1)**4/4 Let o(p) = -11*p**4 - 14*p**3 + 60*p**2 + 48*p + 5. Let z(y) = 5*y**4 + 5*y**3 - 30*y**2 - 24*y - 2. Let j(r) = -2*o(r) - 5*z(r). Suppose j(x) = 0. What is x? -2, -1, 0, 4 Factor -d**2 - 1/4*d**3 - 3/4*d + 0. -d*(d + 1)*(d + 3)/4 Let i(s) be the first derivative of s**5/5 + 27*s**4/5 - 44*s**3/15 - 593. Suppose i(f) = 0. What is f? -22, 0, 2/5 Let s = -34177 + 68355/2. Factor -7/2*k + s*k**2 + 0. k*(k - 7)/2 Let t(z) be the first derivative of -z**6/15 + z**5/5 + z**4/2 - 4*z**3/3 - 4*z**2 - 38*z + 23. Let q(b) be the first derivative of t(b). Factor q(l). -2*(l - 2)**2*(l + 1)**2 Let n(s) be the third derivative of 13/12*s**5 + 5/2*s**4 + 0 + 1/4*s**6 + 0*s + 10/3*s**3 + 1/42*s**7 - 14*s**2. What is h in n(h) = 0? -2, -1 Let u be ((-3)/27)/(164/(-3198)). What is r in 2*r - 1/6*r**4 - u*r**2 - 2/3 + r**3 = 0? 1, 2 Factor 0 + 0 + k**2 + 292*k - 275*k + 0. k*(k + 17) Let l = -440 + 442. Let c(g) be the second derivative of -5*g + 1/4*g**4 - 1/2*g**3 + 0*g**l + 0. What is i in c(i) = 0? 0, 1 Let h(k) be the second derivative of -k**6/25 + 31*k**5/100 + 31*k**4/60 - k**3/5 - 75*k + 1. What is q in h(q) = 0? -1, 0, 1/6, 6 Let x(b) = 8*b**3 - 8*b**2 - 12*b + 17. Let u = -4 + 0. Let z(g) = -7*g**3 + 7*g**2 + 12*g - 16. Let a(p) =
{ "pile_set_name": "DM Mathematics" }
4. Suppose 5*a - o*n - 1318 = 0, 2*n = -4*a - 0*a + 1058. Is a a multiple of 12? True Suppose -5*h + 0 = -4*u + 5, 0 = -h + 3*u - 1. Let p = 4 + h. Suppose 5*s = p*z + 285, 0 = s - 4*s + 2*z + 170. Is s a multiple of 15? True Let i(w) = w**3 - 24*w**2 - 32*w - 44. Let h be i(26). Is -1 + -2 + 0 + 5 + h a multiple of 33? False Let h = -2686 - -1587. Let c = h - -1711. Does 13 divide c? False Suppose 0 = 64*c - 116*c + 17472. Is 14 a factor of c? True Suppose 147475 = 69*g + 34614 - 197777. Is g a multiple of 3? False Suppose 71108 = -19*h + 334695. Suppose -49*k + 25866 = -h. Does 8 divide k? False Suppose -2*r + 5*d + 34474 = -1731, -4*d + 90628 = 5*r. Is r a multiple of 123? False Let c = -4804 - -4843. Does 13 divide c? True Suppose 0 = 5*z + 389 - 359. Is (-2601)/(-19) - z/57 a multiple of 5? False Let l = -880 - -1378. Suppose 0 = -5*i + 5*j + 640, 4*i - j = -4*j + l. Does 20 divide i? False Suppose -2*l - 14 = -5*f - 8, -2*f = l - 15. Suppose -8 = -q + 16. Suppose -16 = -f*c, -s = s + c - q. Is 10 a factor of s? True Suppose 1795675 = 143*l - 2234923. Is 5 a factor of l? False Suppose -5*h + 7 = -18. Let v = 988 + -986. Suppose v*j + 91 = 2*d - d, h*d - 3*j - 427 = 0. Is d a multiple of 12? False Suppose -27 + 28 + 92 = -31*b. Let n(m) = 3*m - 3*m**2 - 4*m**3 + 0*m**3 - 5*m + 7. Is n(b) a multiple of 10? False Suppose 6*g - 50 = -38. Suppose j = -2*o - 147, 0*o + g*o - 3*j = -159. Let z = 6 - o. Is z a multiple of 14? False Suppose 16*u - 107517 = -10*u + 2307. Is 11 a factor of u? True Suppose -5*b = 3*a - 12, -b + 0*a = a - 2. Let x be (-9)/(-4)*4/b. Suppose -5*l = -5*d - 2*l + 817, -d + x*l = -173. Does 10 divide d? False Let i(a) = 223*a + 3294. Is i(16) a multiple of 47? True Let n(t) = 8*t**2 - 25*t + 37. Let c = 244 - 235. Is n(c) a multiple of 26? False Does 58 divide (303/9)/(1076/(-120) + 9)? False Is 37 a factor of (7 + 2)/(5162/(-23310) - (-70)/315)? True Suppose -15*p + 8246 = 21*p - 17962. Is 67 a factor of p? False Let m(j) = 1052*j**2 - 86*j - 2. Does 22 divide m(-3)? True Let l(x) = 69*x - 171. Let k be l(-5). Let d = k - -549. Does 3 divide d? True Let k(x) = 42*x - 52 - 31 - 85*x. Is 17 a factor of k(-5)? False Let h(f) = -f**2 + f + 109. Let x(g) = -6*g**2 - 19*g - 10. Let s be x(-3). Is 10 a factor of h(s)? False Suppose -x - 2*x + 138 = 0. Suppose -4*c = -50 - x. Let z = c + -12. Is 6 a factor of z? True Suppose 0 = 3*x - 8*x - 55. Does 9 divide -1*2 - (1875 - -6)/x? False Let g = 42068 + -26792. Is g a multiple of 67? True Does 7 divide (781 - 782)/(10/(-36)*(-4)/(-9580))? False Let y be 0/(1/((-2)/(-4)) - 1). Suppose -8*x - 48 = -2*b - 4*x, y = 5*b + x - 142. Let m = 64 - b. Is 34 a factor of m? False Suppose 9*t + 1000 = 22420. Is 5 a factor of t? True Let i be (6 + (-14)/3)/(6/(-9)). Is 33 a factor of (-171)/(-76)*i/3*-88? True Let z(g) = -g**2 - 9*g - 7. Let r be z(-3). Is 18 a factor of (-2 - -943) + 44/r? False Let i(q) = 28*q - 104. Let f = -252 - -263. Does 4 divide i(f)? True Suppose 0 = -2*c - 10, -4*s - 141*c = -146*c - 1585. Does 128 divide s? False Suppose -40*g + 165 = -35*g. Suppose 3*l = -2*l + 105. Let b = g - l. Is b a multiple of 11? False Let z = 126 - 162. Is z*2/(-32)*(-704)/(-3) a multiple of 66? True Let m(l) = -l**3 + 79*l**2 + 14*l - 230. Is m(79) a multiple of 12? True Let q = 11040 - 5096. Is 39 a factor of q? False Is ((-15146)/(-6))/(72/54*2/24) a multiple of 61? False Let t(v) = v**2 - 3*v - 1. Let f be t(2). Let m(q) = 4*q**2 - 6*q + 6. Is 6 a factor of m(f)? True Suppose -1574812 + 233034 = -83*q. Is q a multiple of 43? False Let g = -383 - -383. Suppose -17*d + 2755 + 5388 = g. Does 15 divide d? False Let s(x) = x**2 - x - 1. Let a(t) = 11*t**2 + 1. Suppose -4*m = -0*m + 4. Let o(d) = m*s(d) + a(d). Is o(-2) a multiple of 8? True Let n = 405 - 277. Suppose -n*t = -125*t - 1437. Is 25 a factor of t? False Let k = 978 - 289. Let q = 1454 - k. Is q a multiple of 17? True Suppose 4*s - 47122 = -x, 5*s - 23015 - 24098 = -x. Is x a multiple of 52? False Suppose 2*u - u + 3*a = 66, -4*u - a = -308. Let g = u + -75. Suppose -g*j + 79 = -2*w, 4*w = 6*j - j - 129. Is j a multiple of 2? False Let f(n) = n**3 - 7*n**2 - 11*n + 9. Let m be (-117)/(-15) + 2/10. Let a be f(m). Is 24*1*(-10)/a a multiple of 8? True Let o(n) = n**3 + 8*n**2 - 10*n. Let h(t) = -t**3 - 8*t**2 + 15. Let x(y) = y**2 + y + 1. Let f(k) = -h(k) - x(k). Let r be f(-7). Is o(r) a multiple of 7? False Let y = 147 + -72. Let j = -10 + y. Let f = -29 + j. Does 12 divide f? True Let n = -26 - -300. Suppose 12*g = -n + 1498. Does 17 divide g? True Let r = -177 + 193. Suppose -p = -4*f - 124, -5*f + 9 = -r. Does 12 divide p? True Suppose 0 = -2*y - 3*a + 1303 + 3770, 4*y - 2*a - 10186 = 0. Does 212 divide y? True Let f(x) = -4*x**3 + 75*x**2 + 35*x - 34. Is 55 a factor of f(14)? True Suppose 7 = 3*l - 5*z, -15 = -2*l - 2*z + 11. Suppose 7*d - 10 = 2*d. Does 6 divide (l/d)/((-2)/(-16))? True Suppose 239*f - 241105 = 47*f - 81361. Is 8 a factor of f? True Let t(s) = -2*s**3 - 19*s**2 - 8*s + 8. Let n be t(-9). Let m be (-12)/(-1 + -2) - n. Suppose 4*r = -m*l + 101 + 180, l = -3*r + 65. Is l a multiple of 5? False Suppose 0 = -4*j - 4*s + 32, 0 = -2*j + 4*s - 7*s + 19. Suppose t - m = -t + 5, j = 5*t - m. Suppose t = -y + 7*y - 714. Is 17 a factor of y? True Suppose -3*h - 28 = -2*h - 2*q, -5*q = 4*h + 151. Let g(x) = x + 78. Let c(t) = -t - 77. Let o(w) = -6*c(w) - 5*g(w). Does 8 divide o(h)? False Suppose 2*y = 5*p - 24, -3*y + 8*y - 10 = -5*p. Suppose 5*j - 213 = 2*f, 5*f + p*j + 550 = 1. Let n = 160 + f. Does 7 divide n? False Let z(x) = 2746*x**3 - 6*x**2 + 15*x - 10. Is z(1) a multiple of 15? True Let r(s) = s + 10. Let u be r(-7). Suppose 0 = -9*v - u*v + 4740. Does 41 divide v? False Let h = 1463 - 655. Let v = h - 668. Is v a multiple of 7? True Suppose -25*m + 26*m = 3. Suppose 3*o = -4*p + 13 - 30, 3*o = -m*p - 12. Let s(r) = 94*r**3 + 1. Is 15 a factor of s(o)? False Let d be -3 - 8*(-5 - -4). Suppose 3*u = -d*z + 2124, 2*u - 2*z = 5*u - 2133. Is u a multiple of 31? True Let a be 1/((-1)/5490)*(-6)/9. Suppose -a = -14*f + 2*f. Is f a multiple of 61? True Let q(g) = -g**3 - g**2 + 29*g - 13. Let o be q(6). Suppose -3*w + 198 = -255. Let p = w + o. Does 34 divide p? False Let v(z) = 11*z**2 + 32*z + 28. Let a be v(-14). Suppose f - 1164 = -2*p, -3*p + 6*f - 5*f + a = 0. Is 55 a factor of p? False Let c(z) be the third derivative of z**6/40 - 7*z**5/15 - z**4/8 + 19*z**3/6 - 89*z**2. Does 15 divide c(10)? False Let l be ((-63)/18)/(1/(-4)). Suppose 17*f = -l*f + 14570. Does 47 divide f? True Let a be ((-2)/4)/(34177/6838 + -5). Suppose 0 = 9*w - a - 322. Is 13 a factor of w? True Let t(u) = u**2 - 1. Suppose -s + 3*s - 4*j = -6, -3*j + 6 = -3*s. Let l(h) = -12*h**2 - 15. Let i(w) = s*l(w) + 18*t(w). Is 39 a factor of i(-2)? True Let a = 3202 - 1416. Is (1 - (-2)/(-4)) + a/76 a multiple of 12? True Let z be 4/(-22) - (-310)/11. Suppose 3*w - 4 = 4*s, -3*w = 2*w + 2*s + z. Is w/7 - (-312)/7 a multiple of 22? True Suppose a + 3 = 0, 2*t = -2*a - 23 - 41. Let l(o) = 3*o + 110. Is l(t) a multiple of 7? False Let u = -116 + 119. Suppose -u*l + 14 = 4*m, 0 = 5*m + 3*l - l - 14. Suppose p = -3*c - m*p + 564, 4*c - 2*p = 740. Is c a multiple of 31? True Suppose 2*b = -2*j - 1858, 0 = 5*j - b - 3*b + 4663. Let y = 112 - j. Does 20 divide y? False Suppose -84 = -4*a - 4*m, 0 = -2*a - 4*m - 21 + 73. Suppose 3*n + 3887 = a*n. Is n a multiple of 9? False Suppose -11053 = -9*l + 3*l + 25127. Is 30 a factor of l? True Let f = 10 - 2. Let l be 398/11 + f/(-44). Suppose l = k - 19. Does 5 divide k? True Suppose y + 38253 = 5*g, -5*g = 2*y - 23164 - 15080. Does 45 divide g? True Let x be (-3)/(-5) + 66/15. Let z(o) = -o**3 + 4*o**2 + 5*o. Let w be z(x). Suppose 4*f - 479 = m, 3*f = -w*m - 3*m + 363. Is 40 a factor of f? True Let u = -27174 - -51310. Is u a multiple of 28? True Let r(o) = -6*o**3 - 15*o**2 + 11*o + 54. Is 31 a factor of r(-12)? False Suppose -3*n - 4*l = -66694, -n + 9342 = 2*l - 12892. Does 29 divide n? False Let p = 173 - -53. Suppose 0 = -4*h + 2*b + p, 3*h = 4*h + 3*b - 67. Does 10 divide h? False Suppose 69*k = z + 66*k - 4503, 0 = -5*z + 2*k + 22515. Does 32 divide z? False Let w be ((-4)/(-5))/((-2)/(-5)). Let b be
{ "pile_set_name": "DM Mathematics" }
1, v: 1, p: 3}? 1/140 Three letters picked without replacement from {b: 14, f: 4}. Give prob of sequence bbf. 91/612 Four letters picked without replacement from sssdfdssfffgdssdsd. What is prob of sequence dfss? 7/459 Calculate prob of sequence tsso when four letters picked without replacement from osooostsosssoossooos. 2/323 Two letters picked without replacement from dddddddddddddddsddd. What is prob of sequence dd? 17/19 Two letters picked without replacement from {x: 3, t: 5, j: 1, i: 4, g: 1}. Give prob of sequence xj. 3/182 Two letters picked without replacement from {q: 12, b: 6}. What is prob of sequence qb? 4/17 Calculate prob of sequence yi when two letters picked without replacement from kkkykkkikkkdiydkyd. 1/51 Three letters picked without replacement from heoeb. What is prob of sequence oeh? 1/30 Two letters picked without replacement from {y: 1, x: 1, c: 1, s: 2, h: 5}. What is prob of sequence ss? 1/45 Calculate prob of sequence xx when two letters picked without replacement from lnlxmmmnhnhlnnnmmnxl. 1/190 Calculate prob of sequence yy when two letters picked without replacement from oyocccyocc. 1/45 Calculate prob of sequence gvhm when four letters picked without replacement from ghfgvmk. 1/420 Two letters picked without replacement from akkkuukakakkkukuaku. Give prob of sequence uu. 10/171 Three letters picked without replacement from opoototoopotpppg. Give prob of sequence opo. 1/16 Three letters picked without replacement from {e: 9, c: 2, j: 1, d: 1}. What is prob of sequence ejc? 3/286 Three letters picked without replacement from {y: 3, x: 12}. Give prob of sequence xxx. 44/91 Two letters picked without replacement from {r: 1, h: 10, v: 2, d: 1, o: 4}. What is prob of sequence hh? 5/17 Calculate prob of sequence qnjn when four letters picked without replacement from {q: 1, n: 2, j: 1}. 1/12 Three letters picked without replacement from {j: 2, h: 2, c: 4, s: 5}. Give prob of sequence hsc. 10/429 Four letters picked without replacement from ouzzxgoozzz. Give prob of sequence uxgz. 1/1584 Four letters picked without replacement from {w: 15, y: 5}. What is prob of sequence wyww? 455/3876 Two letters picked without replacement from ttotoeettefbetf. Give prob of sequence eo. 4/105 Four letters picked without replacement from {x: 4}. Give prob of sequence xxxx. 1 What is prob of sequence xddd when four letters picked without replacement from dddddddxxddxdxxddx? 11/102 What is prob of sequence cce when three letters picked without replacement from {c: 8, e: 2}? 7/45 What is prob of sequence ffbf when four letters picked without replacement from {b: 7, f: 3, p: 3}? 7/2860 What is prob of sequence bafb when four letters picked without replacement from {f: 3, a: 3, b: 2}? 3/280 Four letters picked without replacement from {u: 3, k: 9, l: 7}. What is prob of sequence luul? 7/2584 Three letters picked without replacement from jawap. Give prob of sequence wpa. 1/30 Calculate prob of sequence cbj when three letters picked without replacement from {b: 2, j: 9, c: 2}. 3/143 What is prob of sequence pos when three letters picked without replacement from spospspoodooszossoo? 8/323 Two letters picked without replacement from {s: 2, k: 9, w: 4, y: 1, i: 3}. Give prob of sequence sw. 4/171 Calculate prob of sequence oo when two letters picked without replacement from lollllooeloe. 1/11 Calculate prob of sequence quq when three letters picked without replacement from uqququ. 3/20 Three letters picked without replacement from {u: 1, k: 2, y: 4, j: 2, e: 6}. What is prob of sequence eku? 2/455 What is prob of sequence cprc when four letters picked without replacement from ccrrcrcpcrc? 1/66 What is prob of sequence oko when three letters picked without replacement from olloloolok? 1/36 Four letters picked without replacement from {s: 1, j: 5, q: 5, r: 6}. What is prob of sequence rsrj? 5/1904 Three letters picked without replacement from {l: 1, o: 2}. What is prob of sequence lll? 0 Four letters picked without replacement from {s: 4, d: 8, x: 8}. What is prob of sequence dxxs? 224/14535 Three letters picked without replacement from {s: 17, d: 3}. What is prob of sequence dsd? 17/1140 Three letters picked without replacement from fbxxxfxfftcwwfcxbwcx. What is prob of sequence ffx? 1/57 Four letters picked without replacement from {l: 5, i: 13}. Give prob of sequence llii. 13/306 Calculate prob of sequence upp when three letters picked without replacement from {u: 2, p: 9}. 8/55 Two letters picked without replacement from {s: 2, m: 2}. Give prob of sequence ms. 1/3 Two letters picked without replacement from sunrg. Give prob of sequence ng. 1/20 What is prob of sequence eef when three letters picked without replacement from {x: 2, e: 3, w: 4, f: 1}? 1/120 Calculate prob of sequence hh when two letters picked without replacement from bhhhbhhbbhhbhbbh. 3/10 Three letters picked without replacement from eeeemeeeemeeeme. What is prob of sequence eee? 44/91 Three letters picked without replacement from ggg. Give prob of sequence ggg. 1 Two letters picked without replacement from uruuqruuuqquqq. Give prob of sequence uu. 3/13 Three letters picked without replacement from {d: 5, o: 2}. Give prob of sequence doo. 1/21 Three letters picked without replacement from {c: 1, e: 2}. What is prob of sequence eec? 1/3 Calculate prob of sequence kmmi when four letters picked without replacement from fmxkfixxmfiifikfnif. 5/23256 Calculate prob of sequence rk when two letters picked without replacement from {k: 1, r: 3, p: 3}. 1/14 What is prob of sequence zzu when three letters picked without replacement from uzzz? 1/4 Four letters picked without replacement from llvlvlvvvllvlv. Give prob of sequence vlvv. 35/572 Calculate prob of sequence cggv when four letters picked without replacement from {g: 15, v: 2, c: 3}. 7/646 Four letters picked without replacement from {m: 2, l: 1, f: 1, d: 2}. What is prob of sequence fmdl? 1/90 What is prob of sequence hh when two letters picked without replacement from hhhnnnhhnhhnnn? 3/13 Three letters picked without replacement from {w: 2, f: 1, e: 1}. Give prob of sequence fwe. 1/12 Three letters picked without replacement from {y: 2, g: 2, x: 4, m: 3, e: 1, c: 8}. Give prob of sequence cmc. 7/285 Calculate prob of sequence nv when two letters picked without replacement from {n: 3, v: 12}. 6/35 Four letters picked without replacement from ssssffjjffs. What is prob of sequence jfss? 2/99 Calculate prob of sequence bbk when three letters picked without replacement from {k: 1, b: 17}. 1/18 Calculate prob of sequence vzzp when four letters picked without replacement from {v: 2, p: 2, m: 6, z: 3, d: 2}. 1/1365 Four letters picked without replacement from ztwwwzzwzzwttztzzt. Give prob of sequence wwzt. 5/459 Calculate prob of sequence rxx when three letters picked without replacement from {r: 1, v: 1, x: 13}. 2/35 Four letters picked without replacement from azzdd. What is prob of sequence zzad? 1/30 Two letters picked without replacement from {u: 11, e: 5}. What is prob of sequence ue? 11/48 Four letters picked without replacement from zrzzzzzzzzzz. What is prob of sequence zrzz? 1/12 What is prob of sequence qowq when four letters picked without replacement from qootoaaawqqoqo? 5/2002 Three letters picked without replacement from fkkisaakaaekka. Give prob of sequence fki. 5/2184 Two letters picked without replacement from tztzvzt. What is prob of sequence tz? 3/14 What is prob of sequence xzzh when four letters picked without replacement from {z: 2, n: 3, x: 1, a: 1, h: 2, c: 3}? 1/2970 Three letters picked without replacement from qwqlcwqkcw. What is prob of sequence lwc? 1/120 Three letters picked without replacement from nlnjnjp. What is prob of sequence jnj? 1/35 What is prob of sequence od when two letters picked without replacement from {d: 1, o: 7}? 1/8 Two letters picked without replacement from ailajjlljjjjtlljcjtl. Give prob of sequence ac. 1/190 What is prob of sequence jd when two letters picked without replacement from {p: 6, j: 3, d: 4}? 1/13 Three letters picked without replacement from {p: 3, b: 2, w: 3, l: 3, v: 8}. What is prob of sequence lvb? 8/969 Three letters picked without replacement from {h: 1, u: 1, j:
{ "pile_set_name": "DM Mathematics" }
? True Suppose -8 - 7 = -3*m. Let p be (-26)/(-4)*(m - 3). Is 11 a factor of (p + -3)/(1/4)? False Let b(k) = k - 6. Let p be b(8). Suppose 2*u - p = 8. Suppose m = y + 23, 0*m - m - 5*y = -u. Is m a multiple of 10? True Let w(j) = j**2 + 10*j - 8. Let y(f) = -f**3 - 6*f**2 - 5*f + 2. Let d be y(-4). Let t be w(d). Is 4 a factor of 3/((-36)/t)*6? True Suppose 0 = -2*s - 0*s + 50. Suppose 4*w + 4*n - 15 = n, -s = -3*w - 5*n. Suppose -4*c + 135 - 39 = w. Is 8 a factor of c? True Let j(p) = -p**3 - 9*p**2 + 11*p - 13. Let v be j(-10). Let s = -20 - v. Suppose 4 = -s*r + 5*x, r = 5*r + x - 10. Is r a multiple of 2? True Let l(y) = 283*y**2 + 21*y - 34. Is l(2) a multiple of 12? True Let f be (8/(-10))/((-10)/(-25)). Let p be 32/(-6)*(8 + f). Let i = -17 - p. Is 15 a factor of i? True Let y be 4*1/4*2. Suppose -j = 5*r - y*r - 36, 0 = 3*j + 3*r - 138. Does 23 divide j? False Let k be -5 - -1 - -8 - (5 + -2). Let i = 11 + k. Is i a multiple of 3? True Suppose 3*g - 4*m - 12 = -31, -24 = 4*g - 4*m. Is 7 - (-3 + g)/(-2) a multiple of 3? True Suppose -3*m - 24 = -3*i, 3*i - 4*i + 12 = m. Suppose i*x + 120 = 12*x. Is x a multiple of 16? False Suppose 704 = 4*u - 40. Is 12 a factor of u? False Suppose -258 = -12*l + 270. Is l a multiple of 12? False Suppose -71*n + 41445 = -26*n. Does 35 divide n? False Let v be 27/(-4)*1904/(-42). Suppose 4*f - 2 = v. Does 16 divide f? False Suppose -3*d = -4*d - 5*g - 43, -4*d - 244 = -4*g. Let r = 98 + d. Is 5 a factor of r? True Suppose -6*v + 10 + 8 = 0. Does 15 divide 134/6*9/v? False Let y be -3 + 0/(-3) - 76/1. Let j = y - -106. Is j a multiple of 9? True Let x = -5755 + 3445. Is 10 a factor of x/(-75) - 1/(-5)? False Let i = -100 - -97. Let t(w) = 0*w + 11*w**2 + 2 + 1 + 5*w. Is 24 a factor of t(i)? False Suppose 623 + 147 = 10*d. Does 7 divide d? True Let q = 154 - 100. Let f be (2*2)/(2/q). Is (-6)/(4 + (-440)/f) a multiple of 27? True Suppose -2*t = -t. Let b be 61 - t - 24/8. Suppose -3*f - 2*o = -57, -3*f - 4*o + b - 7 = 0. Is 7 a factor of f? True Let b = 29 - 10. Let s be (2/3)/(6/9). Suppose -5*r + b + s = 0. Is 3 a factor of r? False Let y = -271 - -425. Does 40 divide y? False Let n(u) = -120*u**3 - u**2 - 3*u - 2. Is n(-1) a multiple of 40? True Suppose -j - 3*g + 307 = -0*g, -j + 5*g = -315. Suppose 4*b + 0*b - 4*v - 232 = 0, 5*b = v + j. Is 5 a factor of b? False Let z = 170 + -93. Let p = -25 + z. Is p a multiple of 12? False Is (3/(-27)*-3)/((-46)/(-66654)) a multiple of 22? False Let x(g) = -g - 8. Let z be x(-7). Let d be ((-9)/(-3) + -3)/z. Suppose d*b + 9 = 3*b. Does 3 divide b? True Is 5 a factor of (1 - -14)*(-2 - -1)*-9? True Let x(t) = t**2 + 26*t - 24. Is x(6) a multiple of 3? True Let w = 57 + -55. Suppose -2*i = -3*p - 49, w*p + 52 = 3*i - i. Is 5 a factor of i? False Suppose 2*y = -32 + 990. Is 12 a factor of y? False Suppose 0 = 5*x - 3*x + 4, 0 = 3*q - x - 263. Is 24 a factor of q? False Let u = -1127 - -1196. Is u a multiple of 3? True Suppose -f = 5*u + 32, -3 = -2*u + 2*f - 23. Let t(i) = i + 9. Let a be t(u). Let m = 46 - a. Is 11 a factor of m? True Let v(k) = -k**2 - 4*k + 34. Let l(p) = -p**2 - 6*p + 21. Let s be l(3). Does 4 divide v(s)? False Suppose -s - 21*k = -19*k + 18, 72 = -4*s + 3*k. Let a(m) = -37*m**3 - m**2 + m. Let o be a(1). Let w = s - o. Is w a multiple of 7? False Let y be (468/(-15))/(3/(-10)). Suppose 5*s + 19 - y = 0. Does 8 divide s? False Let a be (5 + -9)/(1*-1). Let d = -14 + 19. Suppose f - 3*f = a*j - 36, f = d*j + 39. Does 6 divide f? True Is (-1254)/(-7) - 376/329 a multiple of 4? False Let z(h) = 4*h - 22. Let b be z(6). Suppose -4*l = -3*g - 301, -l - l = b*g - 168. Is l a multiple of 9? False Let b = -3 - -4. Let c(d) = d**2 + 17*d - 60. Let y be c(-20). Is 15 a factor of y/1 - b*-72? False Let v = -994 + 3033. Does 53 divide v? False Suppose 15 = -3*t, -116*n + 111*n + 2045 = 5*t. Is 9 a factor of n? True Let m = -9 - -133. Let k = -85 + m. Is k a multiple of 13? True Let j(y) = -3*y**3 + y**2 + 3*y - 2. Suppose -13 = -4*q - v, -4*v = -2*q + 3*q - 22. Let l be j(q). Let m = 28 + l. Does 4 divide m? True Suppose 282 = 19*k + 35. Does 2 divide k? False Let j be (-1 - (-35 + 0))*2. Suppose 3*a + j = 8. Does 31 divide (-6)/(-15) + (-1232)/a? True Let j(x) be the third derivative of 1/24*x**4 + 0*x**3 + 0 + 0*x + 7*x**2. Is j(13) a multiple of 6? False Suppose -6*j + 3011 + 3949 = 0. Is j a multiple of 10? True Let u(c) = -c**2 + 3*c - 6. Let v be u(5). Let y = v - -18. Is 14 a factor of 1*(-171)/(-1 - y)? False Suppose -136*c - 235 = -137*c. Does 9 divide c? False Let p(w) = 9 + w**2 - 6*w - 2*w**2 + 13*w. Let a be 112/64*(0 - -4). Is 6 a factor of p(a)? False Let m(o) = 3*o - 1. Let z(f) = 2*f**2 + 4*f + 1. Let d be z(-3). Let p be m(d). Suppose -3*g + p = 2*g. Is g a multiple of 4? True Is 64 a factor of 8 - 7 - (3 - 259 - -1)? True Let g be 1/(-5)*28*10/(-4). Let q = g + 5. Does 14 divide q? False Let i be 2 - (2 - -33 - 1). Is 17 a factor of 2/16 - 2364/i? False Suppose -992 - 106 = -18*z. Does 5 divide z? False Let w = 6 + -4. Suppose -u + 53 = 4*d, -190 = -5*u + 3*d + w*d. Suppose 2*l + u + 149 = 4*z, 4*z - 205 = 5*l. Does 9 divide z? True Suppose 16 = 3*p + 2*g, 5*p - 5*g = 5 + 5. Suppose -p = -2*z + 6*z. Is (-147)/(-3) - (z - -1) a multiple of 10? False Let n(o) be the second derivative of -5*o**3/6 + 53*o**2/2 + 32*o. Is n(0) a multiple of 4? False Let q = 65 - 144. Let n = q + 137. Is n a multiple of 29? True Suppose -26*m + 32*m = -11952. Does 12 divide m/(-60) + 1/(-5) + 0? False Let p = 404 + -254. Does 37 divide p? False Is 11 a factor of (18801/36 - 5) + (-1)/4? True Suppose 444 = 4*c - f, 3*f + 239 - 27 = 2*c. Suppose 4*x - 4*q - c = -5*q, -4*q = 3*x - 97. Is x a multiple of 7? False Let u(i) = -i**3 - 6*i**2 + 6*i + 10. Let j be u(-8). Suppose -q - 4*q + j = 0. Is q a multiple of 9? True Let c = -10 - -12. Suppose 3*o = 4*u + 45 + 64, -2*o + c*u + 72 = 0. Let n = -13 + o. Does 7 divide n? False Suppose 0*o + 15 = 5*o. Suppose z + o*z - 12 = 0. Does 20 divide (z - 0)/((-18)/(-372))? False Suppose 593 + 1082 = 5*o + 2*j, 317 = o + 4*j. Is o a multiple of 25? False Let t be (-10)/(-45) + (-25)/(-9). Suppose -4*i + 2*l = -90, i + 47 = t*i + l. Is 11 a factor of i + 1/(-1 - 0)? True Let v(b) = -48*b + 101*b - 49*b. Does 28 divide v(7)? True Let o(u) = u**2 + 10*u - 1. Let q(n) = 2*n + 23. Let b be q(-14). Let w(p) = p**2 + 11*p - 2. Let i(r) = b*w(r) + 6*o(r). Does 28 divide i(-8)? True Let i be ((-3)/2)/((-2)/76). Let w = 31 + i. Is w a multiple of 8? True Let p = 2491 + -1651. Is 7 a factor of p? True Let h(b) = -4*b. Let j be h(1). Let w be -12*((-34)/(-4) + j). Let d = -34 - w. Is 10 a factor of d? True Let a be (-2)/(6 - 2)*-4. Suppose 5*r + 1300 = 5*j, -a*j + 540 = r + 2*r. Is j a multiple of 22? True Suppose -2*c - 126 = -2*u, -84 = 4*u + 4*c - 312. Suppose v + 2*v = 9. Suppose p - u = -v*p. Is p a multiple of 15? True Let v(a) = a**2 - 3*a + 11. Let f(t) = 3*t**2 - 10*t + 32. Let d(g) = -4*f(g) + 11*v(g). Let b(w) be the first derivative of d(w). Is 25 a factor of b(-9)? True Let c(q) be the third derivative of 3*q**4/8 - 13*q**3/6 + 17*q**2. Does 6 divide c(4)? False Let j(m) = -624*m - 34. Is j(-1) a multiple of 17? False Suppose 2*d - 34 = -4*h, 2*d - 3*d - 5*h = -17. Let m = d + -28. Let n = m - -24. Is 13 a factor of n? True Let c(t) = 2*t**3 - 16*t**2 - 11*t + 28. Is 15 a factor of c(11)? False Let i(p) be the first derivative of -3*p**2/2 - p + 3. Let n be i(-2). Suppose m - 2*x - 13 = 0, 0*x = n*m + 3*x - 39. Does 9 divide m? True Let w = 543 + -183. Is w a multiple of 40? True Let k(u) = -2*u + 2. Let a be k(-2). Let m = 32 - a. Suppose 32 = j - m. Is j a multiple of 13? False Let z be (-1*1)/(9/(-45)). Suppose -5*v + 4*j = 35 + 13, z*j + 15 = 0. Let d = 35 + v. Does 10 divide d? False Let a(b) = -b**2 + 7*b + 6. Is a(3) a multiple of 17? False Let m(p) = -p**2 + 3*p + 13. Let x be m(8). Let k = -21 - x. Let g(d) = d**3 - 5*d**2 + 4*d + 8. Does 13 divide g(k)? False Suppose -5*c = 2 - 12. Suppose 22 = c*f - 210. Let a = f + -83. Does 10 divide a? False Let f be (-4 - -7 - -4) + 1. Suppose -f = 5*u - 3. Does 10 divide u/3*-3*22? False Suppose -2*r + 3 = 3*w - 5*r, 4 = -5*w - 4*r. Suppose u + w*u = 63. Does 15 divide
{ "pile_set_name": "DM Mathematics" }
5)/(-2) + -1. 2 Evaluate (0/(1 + 6) - 0)/(-2). 0 Calculate ((-16)/(-60)*5)/((-1)/3). -4 What is the value of (-6)/10 + 213/355? 0 What is the value of ((-2)/1 + (-36)/(-15))*-1? -2/5 What is (8/(-2))/((-27)/((-2916)/(-48)))? 9 3*(-2)/(-6) - (9 - 10) 2 Calculate (-15)/6*4*6/(-24). 5/2 Evaluate 1430/(-440) - 3/4. -4 Evaluate (-17)/8 - (-1)/8. -2 Calculate ((-80)/32)/((-2)/4). 5 (-4)/(-24)*-10*(-6)/5 2 What is the value of (-8)/30*(-2)/((-24)/30)? -2/3 What is the value of (-111)/21 + 14/49? -5 What is the value of (-33)/22 + 45/6? 6 What is 2/10 + 14/(-245)? 1/7 (2 + (0 - 2))*(-63)/(-189) 0 What is the value of 6/(-9) - 8/(-6)? 2/3 (-8)/(-20)*5/(-12) -1/6 Evaluate 24/63 + 102/(-357). 2/21 ((0 - 15) + 1)*16/32 -7 Evaluate 0/(21/7) - 2/(-6). 1/3 7*204/210 + -7 -1/5 (-21)/6*208/2548 -2/7 Calculate ((-4)/130)/(3/(-15)). 2/13 What is (2 - (-18)/(-10))/(20/25)? 1/4 Evaluate -3*(-6)/63 + 111/(-21). -5 What is ((-5)/10)/((-161)/276)? 6/7 (6 - 4) + (-6)/4 1/2 Evaluate -1*(-3 + (-46)/(-8) - 3). 1/4 Evaluate 8/(-10) + (-20)/75*-3. 0 What is 8/24*((-6)/4 + -3)? -3/2 What is 76/(-18) + 62 + -58? -2/9 What is the value of (4/10)/(4/(-40)) - -3? -1 (3 + (-1 - 3))/(9/(-12)) 4/3 Evaluate (-2)/((-8)/12*3). 1 What is ((3 - 2)/1)/(8/56)? 7 (((-4)/(-11))/((-8)/(-44)))/1 2 Calculate 375/(-1170) + ((-24)/(-39))/4. -1/6 Calculate (-70)/105*(25/2 + -2). -7 What is the value of 29/(-29) - 5/(-1)? 4 Evaluate 0/((-12)/3) - -9. 9 Evaluate -50 + 50 + (1 - 0). 1 What is 3/(-15) + 10/(-100)? -3/10 78/15*1 + (-165)/33 1/5 What is the value of 3*(-6)/9 - (3 + -3)? -2 Evaluate (3/(-20)*-4*-1)/(-1). 3/5 What is (-5)/25 + 372/60? 6 Calculate -2*(-8)/12 + -1. 1/3 What is the value of ((-174)/725)/(2*2/20)? -6/5 (-1)/11 - (-6)/22 2/11 What is the value of -5 + (5 - 6/39)? -2/13 (-3953)/(-536) - (1 + 6) 3/8 Calculate ((-136)/(-238))/((-12)/14). -2/3 Evaluate (15/10)/((-9)/(-24)). 4 Calculate (-3)/9 - (-1 - -1). -1/3 Calculate ((-30)/56 + (-8)/(-28))*1. -1/4 Evaluate 8/14*(-3 + (6 - -4)). 4 Evaluate (((-12)/(-5))/3)/((-6)/15). -2 What is (10/18)/((-35)/(-42))? 2/3 Evaluate 23/7 - (-50)/(-175). 3 Evaluate -2*2/4 - 266/(-399). -1/3 What is (-8 - 407/(-55))*1/(-3)? 1/5 Calculate (-190)/(-20) + -9 + 0. 1/2 What is the value of (-12)/(-16) - 4/8? 1/4 Calculate (-75)/(-21) + (1 - 8/2). 4/7 Calculate (-1)/(3/4*-4). 1/3 Calculate ((-6)/(-9))/(3/6). 4/3 Evaluate (8/3 - 2) + 2/6. 1 What is the value of (-2 + 60/28)/1? 1/7 (-3)/5 - (-66)/(-15) -5 What is 4 - ((-86)/22 - -8)? -1/11 What is the value of -1 - 0 - (5 - 408/66)? 2/11 Evaluate (2 + 4/(24/15))/(-12). -3/8 Evaluate (70/(-175))/(1 - 4/10). -2/3 What is -9 + (1 - -10) + -3? -1 0 - 50/(-18) - (-216)/972 3 Evaluate (-26 - -32) + 168/(-27). -2/9 Evaluate (884/91 + (-4)/(-14))/(-2). -5 What is (-5 - -7)*(-19)/190? -1/5 Evaluate 1/6 - 500/120. -4 What is the value of (-36)/28*(-1)/3? 3/7 (447/(-165) - -2) + (-9)/99 -4/5 Evaluate (-10)/(-2) - -1*106/(-22). 2/11 What is the value of 2 + (-11)/5 - (-10)/50? 0 What is (-12)/9 + 5/(90/(-21))? -5/2 7/(-2) + 2 - -2 1/2 What is the value of ((-20)/25)/(6/30)? -4 What is (41 - 44) + (-28)/(-6)? 5/3 What is (-357)/(-154) + (-1)/(-2)*-5? -2/11 Evaluate ((-1)/1)/(45/10). -2/9 What is the value of 1*-4 - (-19 - -16)? -1 (-88)/720 - 6/60 -2/9 What is the value of (-29)/30 - ((-176)/12 - -14)? -3/10 What is 9/(54/(-15))*-2? 5 (-7 - -13)*((-3)/2 - -1) -3 Calculate ((-28)/(-21))/((-4)/(-15)). 5 Calculate 55/(-88)*(8/5 - 2). 1/4 Calculate (0/((-8)/(-8)))/(2/(-1)). 0 What is the value of 10/(-3) - -3 - 50/(-25)? 5/3 What is 30/6*(-4)/10? -2 Evaluate (-8)/24 + (-2)/(-12). -1/6 Calculate -2 - ((-24)/(-8) - 6). 1 Evaluate (185/111)/(1/(-3)). -5 Calculate 46/130 + 4*2/(-52). 1/5 What is the value of 12/42 - 24/(-14)? 2 (-2 - (-80)/35) + (-16)/(-42) 2/3 What is (4 - 6/12) + 6/12? 4 Calculate (18/(-10))/(30/50). -3 Evaluate (0 - 0) + (3 - 27/7). -6/7 Evaluate ((-8)/60)/(4/(-12)). 2/5 Calculate (0 + 1)*(8 + -3 + -5). 0 (-2 - -1)/1*-2 2 What is the value of ((-56)/(-16) - 6) + 3? 1/2 Calculate 2/(-4)*-2 + (4 - 1). 4 What is the value of (3 - 250/105) + 8/(-28)? 1/3 What is the value of (-2)/(-4) - (-9)/6? 2 What is (-84)/35 - ((-2)/2 - 1)? -2/5 Evaluate -24*((-14)/(-8) - 2). 6 Evaluate (-6)/2 - -3*(-6)/18. -4 What is the value of 3/(-4)*(59 + -55)? -3 Calculate -2 + 2 - (-8)/24. 1/3 Calculate -1 - (-4 - (-212)/68). -2/17 Calculate -5 + (-12 - -12 - -2). -3 Calculate (39 - 42)*10/6. -5 (-700)/3003 + (-8)/(-156) -2/11 What is the value of ((-6)/16)/((-48)/96)? 3/4 What is the value of ((-50)/675)/(2/(-3))? 1/9 (-9)/(-14) - 5/10 1/7 What is -10 - (-2 - 1) - -5? -2 3/2 - (-33)/(-14) -6/7 Calculate 21/70*(-11)/((-132)/(-8)). -1/5 Calculate 8/(-3) + (-22)/(-6) + -4. -3 (-27)/18*(34/(-6) - -3) 4 What is the value of (-5 + 16)*(-4)/(-22)? 2 What is the value of (-1 + (-27)/(-15))/((-7)/(-35))? 4 What is (-4)/6*15/(-25)? 2/5 What is the value of 4 + 1/(-3)*-3? 5 What is the value of 415*(-6)/165 + 15? -1/11 (-3)/(-6) + 5/10 1 What is the value of (85/15 - 5)*(-2)/(-4)? 1/3 Calculate (-12)/30 + (-8)/40. -3/5 128/16*2/(-12) -4/3 What is (-6)/(48/10) + (-15)/4? -5 What is the value of (6 - 1) + (0 - 5) - 0? 0 Evaluate (-56)/84 - (-2)/(-6). -1 What is (2/(-1))/1 + 1 + 6? 5 32/6*135/180*1 4 102/374*2/3 2/11 (6/42)/((-35)/(-98)) 2/5 Calculate 6*6/9*-1. -4 (36/20)/(-9 + 744/80) 6 Calculate 2*(1533/294 + 1*-5). 3/7 Calculate 2*-4 + (23 - 19). -4 What is the value of (-36)/3 + 7/1? -5 (-2 - 0)*(-9)/(-6) -3 Calculate (-150 - -151)*0/1. 0 Calculate (6/(-4))/(57/(-76)). 2 Evaluate ((-1)/18)/(((-49)/(-28))/7). -2/9 What is ((-74)/14 - (-6)/21)*1? -5 What is (-14)/(-28) - (-36)/(-8)? -4 What is the value of 418/76*(-8)/(-44)? 1 Calculate 1/(78/15 - 5). 5 What is 4/(-6) + 22/6? 3 What is (-5)/(371/(-42) + 8)? 6 Evaluate 35/210 + 25/(-6). -4 ((-96)/(-20))/6 - (-42)/(-15) -2 What is the value of (-731)/255 + (2 - -1)? 2/15 What is ((-5)/10)/((-4)/(72/(-15)))? -3/5 Evaluate -1 + 6 + 108/(-12). -4 Evaluate ((-1)/20)/((-8)/(-32))*2. -2/5 Evaluate -2 + (-1 - -1) + (16 - 12). 2 Calculate ((-276)/32 - -2) + 7. 3/8 What is the value of (5/(-2) + 2)/(4/(-40))? 5 What is the value of 1/((32/(-5))/(-8))? 5/4 What is the value of (-1 - 2)*(10 + (-1248)/126)? -2/7 Evaluate (6/15)/(3/15*8). 1/4 What is the value of ((-99)/(-54) - (-4)/(-24))*3? 5 Evaluate (-9)/6*(-20)/(-225). -2/15 10/105 + 3/(-7) -1/3 What is the value of 0 + 1*15/(-5)? -3 What is (-144)/90 - (-112)/20? 4 (-39)/(-429)*(-1 - 1) -2/11 Evaluate ((-5)/3 - (-12)/18) + -4. -5 What is the value of ((-1)/7)/((-20)/(-210))? -3/2 Evaluate 4/(-38) - 2516/646. -4 Calculate (4/130)/(50/(-250)). -2/13 Evaluate 0 - (-45)/(-12) - -4. 1/4 5/(-2) + 205/90 -2/9 Calculate -3 + -2 - (-85)/17. 0 Calculate (-8 - -28)*(75/10 - 7). 10 Calculate 8/12*(40/(-25) - -1). -2/5 -4 - (-6 - 12/(-5)) -2/5 Evaluate 2/(888/(-108) - -8). -9 (-32)/8 + 126/27 2/3 What is -35*(-6)/(-720) - (-3)/(-8)? -2/3 4*21/56*4/6 1 (((-1)/(-4))/(-1))/((-46)/184) 1 What is the value of (2 + -2)/(5 + -3)? 0 Evaluate -2 + 2 - 9/15 - 0. -3/5 195/(-130) + 6/8 -3/4 Calculate (3/(-24)*-2)/((-495)/(-360)). 2/11 2/(-4)*7 - (-4)/8 -3 What is (-1)/(-5 + -1)*-2*15? -5 (132/33)/(8/(-6)) -3 15/66*(-96)/(-120) 2/11 What is the value of ((-33)/(-165))/((-1)/(-15)) - 7? -4 What is the value of ((-8)/28)/(4/(-56))? 4 Evaluate (-30)/26 + 2 - 1. -2/13 ((-2)/10)/((-91)/273) 3/5 (1392/56)/(-6) + -4 + 7 -8/7 (26/13)/((0 - 1)*-1) 2 ((-27)/(-105) - 4/(-28))*-1 -2/5 (-2 - (2 - 5))*-6 -6 What is -1 - (6 - 2/1)? -5 Evaluate (-30)/8*(-6)/(-10) + 2. -1/4 What is (28/(-4) - 13/(-2))*6? -3 What is (-32)/(-7) + 21/49 - -2? 7 What is (1 + (-20)/18)/((-22)/99)? 1/2 Calculate ((-244)/(-288) - 1) + 12/(-54). -3/8 Evaluate 85/(-35) + 1/7*3. -2 Calculate 20/(-10)*-2*1/22. 2/11 Evaluate ((-36)/(-20) - 2)*(39 + -38). -1/5 Evaluate 98/56 - (-1 - -3). -1/4 Calculate (56 - 59) + 2*14/8. 1/2 (3 - (-7)/(-7))*(-6)/108 -1/9 ((-48)/(-28))/(222/(-42) - -5) -6 (-14)/(-7) - 3/((-21)/(-16)) -2/7 Evaluate -1 + 5 - -3*1/3. 5 Evaluate (-41)/(-861) + 2/(-6). -2/7 Calculate (-7)/6 + (-5)/(-2) + 0. 4/3 What is 328/(-123)*((-10)/(-8) - -1)? -6 (-4)/6*(4 + -7 + 0) 2 Evaluate 29/5 - (-17)/85. 6 (-6)/15*((-18)/4 + 3) 3/5 What is the value of 1215/162*((-2)/6 - -1)? 5 What is the value of (3/1)/(((-135
{ "pile_set_name": "DM Mathematics" }
**2 - 13*b + 26. What is the lowest common multiple of x(12) and 12? 84 Let v = -395 + 2339/6. Let i be 11388/8*2/1. Calculate the common denominator of v and (-4)/18*i/(-52). 6 Let a be ((-2)/3)/((-2)/(-66)). Calculate the common denominator of -51/10 and (-4565)/a*(-1)/25. 10 Calculate the common denominator of (-36)/(-90) + 694/(-160) and 69/10. 80 Let q = -164 - -192. What is the smallest common multiple of 4 and q? 28 What is the common denominator of -79/24 and 0 + 3 + -3 - (-61)/(-20)? 120 Find the common denominator of -49/22 and -1 - ((-220)/(-72))/(-1). 198 Let k be 2/(8/(-12)*1). Suppose l = -2*l + 48. Calculate the least common multiple of l and 18 + (k - (-8 + 3)). 80 Let d be -1 + 15 + 5 + -3. Suppose -2*u + 6*u - d = 0. What is the lowest common multiple of 20 and u? 20 What is the common denominator of -2 - 201/(-24) - 0 and (2/4)/((-14)/(-52))? 56 Let u = 12310/7 - 1765. Calculate the common denominator of u and -4. 7 Suppose -4*r = 4*c + r + 29, -5*r - 5 = 0. Let l(k) = -5*k - 1. Calculate the least common multiple of l(-1) and (c + 2)*(-3)/3. 4 Let t be -4*1/(-2)*2. Let n be t/18 - (-33)/(-27). Find the common denominator of 69*n/(-8) + 2 and 125/12. 24 Suppose -3*b + 100 = 2*b. Let w be (-8)/12 + 28/6. Suppose c - w*o = -3*o + 10, 0 = -5*c + 4*o + 50. Calculate the least common multiple of b and c. 20 Let s = 15 + -4. Suppose 0 = -2*w + 47 - s. What is the smallest common multiple of w and 4? 36 Let j = -13 - 22. Let i = j + 53. Calculate the lowest common multiple of 8 and i. 72 Suppose 0 = -5*c + 15 + 5. What is the smallest common multiple of 8/(-6)*(-6)/c and 22? 22 Let g = -33 - -59. Let a = 44 - g. Calculate the least common multiple of 12 and a. 36 Calculate the least common multiple of 7/(-14) + (-21)/(-2) and 8. 40 Let s(f) be the third derivative of -f**6/120 - 7*f**5/60 - 3*f**4/8 - 2*f**2. What is the lowest common multiple of s(-6) and 2/(8/(-10))*-8? 180 Let o(i) = -4*i**3 + 4*i**2 - 4*i + 4. Let y be o(3). Let l = -58 + 269/4. Calculate the common denominator of l and 1/5 + 391/y. 16 Let m(o) = -o**2 - 11*o - 10. Let d be m(-7). Calculate the lowest common multiple of (-47)/(-9) - d/81 and 14. 70 Let y = -7 - -2. Let n = y - -5. Suppose -3*h + 75 = 3*b, -4*b + n*h = 3*h - 97. What is the lowest common multiple of b and 6? 66 Let j(n) = -n**2 + 9*n - 8. Let s be -7*3*(-4)/(-2). Let y be (2/3)/((-4)/s). Calculate the lowest common multiple of 7 and j(y). 42 Let y(w) = -w**3 + 6*w**2 + 3*w - 2. Let v be y(-4). Let n = -8/39 + 171/52. Find the common denominator of n and ((-3)/(-2))/((-48)/v). 48 Find the common denominator of -151/12 and -10 + (5/6 - 1). 12 Let h be -2 - ((-38298)/28 + 1). Let u = -1359 + h. Find the common denominator of u and -97/14. 14 Suppose 72 = 8*r + 4*r. What is the least common multiple of 9 and r? 18 Suppose -7*u + 3*u - 200 = 0. What is the lowest common multiple of 12/10*u/(-15) and 8? 8 Calculate the smallest common multiple of ((-2)/7)/((-9)/441) and 10. 70 Let i be 47 - -1 - (0 - -2). Let w(z) = 3*z**2 + 2*z - 1. Let m be w(3). Let p = i - m. Calculate the least common multiple of 12 and p. 84 Suppose 3*q - 27 = 3*v, q - 3*q + 16 = -v. Suppose 0 = 2*g + u, -u - 3*u - 12 = -4*g. What is the lowest common multiple of g and q? 7 Let f be ((0 - 2) + 1)/1. What is the smallest common multiple of 1 and 210/24 - f/4? 9 Let v(b) = -b**2 + 2*b + 11. Let g be v(-9). What is the common denominator of 25/18 and (12/g)/((-3)/29)? 198 Calculate the lowest common multiple of 6 and -8*(-5 + -2)*(-1)/(-2). 84 Let f = -8445 + 50779/6. Find the common denominator of f and ((-10)/20)/((-6)/(-76)). 6 Let s = -38608 - 25890. Let a = 292885416/4541 + s. Let g = a + -258821/36328. What is the common denominator of 55/3 and g? 24 Let b(k) = k + 1. Let h be b(7). Suppose 3*f - 5*p + 40 = h*f, -2*p = -2*f. Suppose f*g = -2 + 34. What is the lowest common multiple of g and 4? 8 What is the common denominator of (264/(-32) - -8)/(2/(-66)) and -81/232? 232 Suppose g - 5 = 3. Calculate the lowest common multiple of 2 and g. 8 What is the common denominator of (-138)/40 + -10 + 14 and 81/10? 20 Suppose -d + 14 = d. Let y = d - 5. Calculate the smallest common multiple of y and 4. 4 Let k = 3473/11 + -316. What is the common denominator of k and 63/4? 44 Let c(z) = z**3 + 2*z**2 - 3*z - 3. Let j be c(-2). Suppose 64 = f + j*f. Let u = -40 + 44. What is the lowest common multiple of f and u? 16 Suppose -4*d + 2*d + 6 = 0. Suppose 0 = d*x - 8*x + 115. Calculate the lowest common multiple of x/3 + 1/3 and 1. 8 Let y(h) = -h**3 - 15*h**2 - h - 10. Let r be y(-7). Find the common denominator of 582/44*5/(-15) and (-3)/(-4) + r/(-80). 176 Let u = -1976 + 4037/2. Let w = 7642 + -68854/9. Find the common denominator of u and w. 18 Let q = -22253/10 + 2223. Let c be (-1)/(-2) + (-21231)/20350. Let m = c - 2/925. Calculate the common denominator of q and m. 110 Let n be (-1 + -3)*(-3)/(-4). Let t = 3 + 7. Let f = n + t. What is the least common multiple of 7 and f? 7 What is the common denominator of 15/(-20)*15/9 and 55/7? 28 Suppose -3*j = -28 - 23. Let z = j + -7. Let o = 22 - 13. Calculate the lowest common multiple of z and o. 90 Suppose -3*c = -4*o + 2*o - 17, -3*c - 4*o - 7 = 0. Suppose -2*k + 110 = 3*k. Let f = k + -13. What is the lowest common multiple of f and c? 9 Let w(h) = h**3 - 8*h**2 - 5*h - 1. Let s be w(9). Let q = 55 - s. What is the lowest common multiple of q and 4? 20 Let x be 6*(-3)/((-9)/(-2)). Let m(h) = -2*h - 1. Calculate the smallest common multiple of m(x) and 1. 7 Let w(q) = -q**3. Let c(x) = -8*x**2 - 4. Let z(f) = -c(f) + w(f). What is the lowest common multiple of 8 and z(8)? 8 What is the least common multiple of 18 and (1/(-2) - -2)*8? 36 Find the common denominator of (((-61)/(-18))/1)/(3/(-6)) and -9/5. 45 Let h = -10625 - -7092. Let o = -28359/8 - h. Calculate the common denominator of -99/2 and o. 8 Calculate the common denominator of 1/6 + (-187)/102 and -15/11. 33 Let u be 2/(-7) + 52384/183736. Let b = u - -121433/59058. What is the common denominator of b and 97/10? 90 Let x = 995/119 + -62/17. Calculate the common denominator of x and (-17)/7 + (-8)/28. 7 Let j = 10552859797/105312298 + -542325/5447. Let h = -2/1381 - j. Let w = 16051/12 - 1343. What is the common denominator of h and w? 84 Let r(g) = 2*g + 7. Suppose -4*o + 24 = -p, -4*o - o = 5*p - 30. Let v be r(o). Calculate the smallest common multiple of 4 and (-1 + v)*2/3. 12 Let k = -1/1034 + 6463/517. What is the common denominator of k and 35? 2 Suppose -4*r = -5*r + 32. What is the smallest common multiple of r and 2? 32 Calculate the common denominator of -67/2 and (2/12)/(340/(-174) - -2). 8 Suppose -2*f - 14 = -4*d, -f - 2*f = 5*d - 34. Suppose s + 5*i - 19 = 0, -2*s + 24 = -0*s + f*i. Find the common denominator of (-6)/(-27) - (-14)/s and -93/2. 18 Let m = 284/21 - 8537/462. Let s = 7 - 13. Find the common denominator of m and s/27 + 403/(-36). 132 Let n(a) = a + 8. Suppose -z + 12 = 3*z, -2*z - 24 = -3*g. Calculate the lowest common multiple of g and n(-7). 10 Let f(c) = c**3 + 6*c**2 - c + 5. Let y = 590/3 + -211. Find the common denominator of f(-6) and y. 3 Let a = 3 + -1. Suppose -a*t = 4*h - 86, 5*h + 6*t - t = 120. Calculate the common denominator of 61/6 and (-9)/12 - h/5. 60 Let i be -8*((-3)/(-6) - 1). Suppose 16 = i*o - 0*o. Calculate the smallest common multiple of 2 and o. 4 Suppose 0 = w + 3*s + 7, 4*w + w - 25 = 5*s. What is the common denominator of -111/20 and -3 - (w + (-202)/16)? 40 Find the common denominator of 2/18 - (843/540 - 3) and 81/40. 40 Let l(u) = -2*u + 16. What is the lowest common multiple of 28 and l(-10)? 252 Let m be ((-2)/14)/(2/4). Let i = 29/126 + m. What is the common denominator of 67/20 and i? 180 What is the least common multiple of 88 and 7*-3*24/(-36)? 616 Find the common denominator of 20/7 and (-59)/14 - (3 - (-18)/(-4)). 7 Let l(x) = 13*x + 1. Let i be l(-1). Let g = i - -53. What is the common denominator of g and 10/9? 9 Suppose -6 = -x - 2*c, -3*x = x - 3*c - 68. Let i be x/35 - (-6418)/(-720). Let p = -13/36 + i. Find the common denominator of -37/11 and p. 88 Suppose 0 = -4*n - 4*m - 33 + 93, 0 = -2*n + m + 15. Let w(i) = -i**2 + 14*i + 2. What is the leas
{ "pile_set_name": "DM Mathematics" }
o(p) + 3*t(p). What is l(-1)? 9 Suppose 3*b - 2*l = 16, 31 = -b - 5*l + 8. Suppose 0 = -2*y - 3*y. Let r(g) = 2*g + 3*g + y + 2 - 4. Calculate r(b). 8 Let s = 11 + -5. Suppose -25 = s*x - x, -u - 2*x - 13 = 0. Let f(g) = -g + 2. What is f(u)? 5 Let h be -4*-5*3/(-100)*-5. Let v(a) be the second derivative of -a**4/12 + 4*a**3/3 - 3*a**2/2 - a. Determine v(h). 12 Let l(a) = -a**3 - a**2 - 1. Let g(f) = 2*f**3 + f**2 + f - 8. Let s(w) = -g(w) - l(w). Calculate s(0). 9 Let h(s) = -3*s - 4*s**3 + 2*s**2 + 3 - 3*s**3 + 3*s**3 + 3*s**3. What is h(2)? -3 Suppose 0*s - 4*x + 4 = -2*s, -s - 2*x = -10. Let t(g) = 2*g - s*g - 5 + 5*g - 4*g. Calculate t(-4). -1 Let k(t) be the second derivative of -t**4/6 - t**3/2 - t**2 - 8*t. Suppose 3*z = -2*p - 9, -3*p - 8 = 2*z - 3*z. Give k(p). -11 Let b(l) = -l**2 + 8*l + 4. Let j be b(9). Let r = j - -9. Let p(q) = r*q - 4 - 2*q - q. Calculate p(5). 1 Let i(q) = -q + 1. Suppose -1 = -4*y + 11. Let g(k) = -k**3 + 4*k**2 - 4*k. Let h be g(y). Determine i(h). 4 Let y(v) be the third derivative of -v**5/60 - 3*v**4/8 + 13*v**3/6 + 3*v**2. Determine y(-10). 3 Let f(s) = s**2 - 6*s + 1. Let u be f(5). Let d(p) = -2*p - 3. Let w(r) = r + 2. Let k(a) = u*d(a) - 5*w(a). Calculate k(2). 8 Let g(b) be the second derivative of -b**5/20 + 5*b**4/12 - b**3/6 + 7*b**2/2 - 6*b. Give g(5). 2 Let b(l) be the second derivative of 2*l**3/3 - 3*l. Let d be (2 + -1)*(-2)/(-2). Suppose j + d = 2. Calculate b(j). 4 Suppose -3*l + 8 = -1. Let s(m) = 1 + 17*m**3 - 4*m**2 - 7*m**3 - 9*m**3. What is s(l)? -8 Suppose v - 5 = -0*v. Let j(z) = -3 + 4 - z**2 + 5 + v*z. Give j(5). 6 Let u(c) = -c**3 - c + 1. Let a(p) = 4*p**3 + 5*p**2 + 8*p - 5. Let n(g) = a(g) + 3*u(g). Give n(-5). -27 Let b(i) = 14 - 4*i - 6 - 6. Let o(y) be the first derivative of y**4/4 - 2*y**3/3 - y**2 - 1. Let a be o(3). Determine b(a). -10 Let d(a) be the first derivative of -3*a**2/2 - 2*a - 30. Determine d(3). -11 Let b(l) be the first derivative of l**3/3 - 5*l**2/2 + 3*l - 13. Give b(4). -1 Let f be (-4)/(-14) + (-141)/(-21). Let h(j) = j. Determine h(f). 7 Let r(y) = -6*y**3 - y**2 + 1. Suppose 2*m - 7*m - 5 = 0. Determine r(m). 6 Suppose c - 2 + 5 = 0. Let a be (-34)/(-10) - (-4)/(-10). Let b(k) = 3*k + k - 5*k**3 + 6*k**3 - 5*k + 3*k**2 - a. What is b(c)? 0 Let x(n) = 3*n**2 + 32 - 3*n - 68 + 32 + n**3. Give x(-4). -8 Let a = 12 - 2. Suppose -3*l = -a + 22. Let h(m) = -3*m - 6. Calculate h(l). 6 Let j be 3 + (-2 + 2 - 0). Let i(u) = -2 - u**3 + 2*u**2 - 3 - 527*u + 529*u + 2. Determine i(j). -6 Let s(n) be the first derivative of -n**4/4 - 5*n**3/3 + n - 12. Give s(-5). 1 Let g = -71 - -67. Let b(n) be the third derivative of -n**5/120 + n**4/24 + n**3/6 - n**2. Let k(c) be the first derivative of b(c). Determine k(g). 5 Let i(b) = b. Let m be i(3). Let t(c) = c**3 - 4*c**2 + 4*c + 1. Calculate t(m). 4 Let v = 0 + 0. Suppose 0 = c - v + 1. Let f(q) = 1 - 5 - 2*q + 5. Give f(c). 3 Let d(m) = -17 - 9 + m + 27 + 4*m**2 - m**2. Calculate d(-2). 11 Suppose 0*w + 13 = -5*k - 3*w, 27 = -3*k + 3*w. Let d(q) = q**2 + 7*q + 7. Give d(k). -3 Let j(n) = -n**3 - 6*n**2. Let x be j(-6). Let r(o) be the second derivative of -o - 1/3*o**3 - o**2 + 1/12*o**4 + x. Calculate r(-2). 6 Suppose 18 = -6*o - 30. Let c(g) = -g**3 - 7*g**2 + 8*g + 7. Determine c(o). 7 Let j(m) = m - 1. Let u be -1*(-1)/2*-2. Let q(x) = -5*x + 9. Let v(h) = u*q(h) - 4*j(h). Determine v(6). 1 Let w(j) = -7*j**2 - 13*j + 9. Let m(c) = 11*c**2 + 20*c - 14. Let a = 17 - 12. Let k(n) = a*m(n) + 8*w(n). Let d = 1 + -5. Determine k(d). 2 Let w be (-2 + -1)/(3/2). Let r be (6 - (2 + w))/2. Suppose -r*f = -4*a, -a = f + 2*a. Let u(h) = h - 10. What is u(f)? -10 Suppose 0*s = -6*s + 18. Let d(o) = -o + 2. What is d(s)? -1 Let w(l) = 4 - 7 - 6*l**2 + l**3 + 0*l**3 + 4. What is w(6)? 1 Suppose -10 - 5 = -5*q + 3*g, 3*g = 0. Let v(f) = f**3 - 2*f - 1. What is v(q)? 20 Suppose 2*n = v - 0 + 5, 25 = 4*n + v. Let x(h) = 3*h**2 + n*h - h**2 - 4*h - 6*h**3. Give x(-1). 7 Let k = -9 - -13. Suppose 0*d - k = -4*d. Suppose n - d = -6. Let m(a) = -2*a + 2. Calculate m(n). 12 Let u(l) be the first derivative of 5*l**2/2 + l - 3. Calculate u(1). 6 Let w(o) = o + 8. Let k be w(0). Suppose 3*d + k = 5*d. Suppose d*x - 2*x = 6. Let n(p) = -p**3 + 4*p**2 - 2*p - 4. Calculate n(x). -1 Let q(h) = h**3 - 5*h**2 - 3*h + 6. Suppose -2*w = -3*w + 5. Calculate q(w). -9 Let c be 2*(-4 - 2/(-2)). Let s = c + 6. Let u(z) be the third derivative of -z**6/120 + z**5/60 + z**4/24 - 7*z**3/6 + 3*z**2. What is u(s)? -7 Let c(d) = 5*d - 11. Let w(n) = 3*n - 6. Let j(s) = -4*c(s) + 7*w(s). Suppose -8 = 2*h - 2. Let a = 2 - h. Give j(a). 7 Let g = -26 - -26. Let o(t) = 2*t. Let l(d) = -3*d. Let m(r) = -5*l(r) - 7*o(r). What is m(g)? 0 Let w(u) be the third derivative of u**5/60 + u**4/4 + 7*u**3/6 - 8*u**2. Suppose 2*o = o - l - 5, 3*o - 5*l + 15 = 0. Determine w(o). 2 Let z(i) = -i**2 - 1. Let j(s) = 7*s**2 - 2*s + 6. Let d(r) = j(r) + 6*z(r). Give d(3). 3 Let d(t) be the third derivative of t**5/60 - t**4/4 - t**3/3 - 30*t**2. Let k = 0 - -6. Give d(k). -2 Suppose -z + 28 = 3*z - 4*r, -z - r + 9 = 0. Let b be (-4)/(-10) + z/5. Let x(s) = 4 - 3 - 2 + b*s. Give x(3). 5 Let k(t) = -t**2 - 6*t - 3. Let l be k(-5). Let a(f) = -1 - 2 + 0 + 7*f - f**l - 1. Suppose 3*x = 4*v - 36, -1 = v + x - 3. Calculate a(v). 2 Let b(d) = d**2 + 6*d - 9. Let u = -5 + -2. Determine b(u). -2 Let q = -146 + 147. Let m(f) = 9*f**3 - 2*f**2 + f. Give m(q). 8 Suppose 5*z + 2*c = 6*c - 45, 4*c = -5*z - 5. Let y(r) = 10*r + 6. Let s(n) = -5*n - 3. Let q(u) = z*s(u) - 2*y(u). Suppose 8 = -3*j + 2. What is q(j)? -7 Let r(d) = -2*d + 4. Let g be 2/(-1) - (-8 - -13). Let x(u) = u**2 + 5*u - 9. Let m be x(g). Calculate r(m). -6 Let j(i) be the first derivative of -i**4/4 - i**3 - 3*i**2/2 - 3*i + 3. Let r be j(-2). Let g be (-4 + 3)*r/1. Let d(x) = -8*x**3 - 2*x + 1. Calculate d(g). -9 Let b(n) = 2*n**2 - 3. Let z(l) = -l - 1. Let p(y) = -b(y) + 2*z(y). Let t be 4/(-14) + 2/7. Let d = t + -2. Give p(d). -3 Let a(k) = -3*k + 4. Let u(y) be the first derivative of -7*y**2/2 + 8*y - 2. Let f(b) = 5*a(b) - 2*u(b). Determine f(-5). 9 Let b(p) = 13*p - 8*p**3 - 5*p**2 - 5 + 0 - 2. Let t(k) = -4*k**3 - 2*k**2 + 6*k - 3. Let g = -2 - 2. Let j(n) = g*b(n) + 9*t(n). Give j(-1). 5 Let z(h) = h**2 + 3*h - 3. Let m = 27 - 25. Suppose -m*u - 10 = -0*u. What is z(u)? 7 Let x(t) = -2*t - 6. Let b be x(-8). Suppose 5*c + b = -0. Let d(w) = 2*w**2 + 3*w + 2. Give d(c). 4 Let k(x) = -2*x**2 - 3*x - 3. Let h be (-5)/(-1) + 20/(-10). Suppose h*l = -5 + 29. Let p(a) = a**2 - 9*a + 6. Let g be p(l). Calculate k(g). -5 Let q(f) = -f**2 + 7*f - 9. Let u be 3*25/10*(-12)/(-15). Determine q(u). -3 Let k(y) be the first derivative of -4/3*y**3 + 1/4*y**4 + 3 + 0*y + 1/2*y**2. Let j = 8 + -4. Give k(j). 4 Let p(x) = x**3 - 2*x**2 - 2*x - 1. Suppose 0 = 4*i + k + 6, -5*i - 4*k + 9 = 22. Give p(i). -2 Let j be 2/(-10) + (-5)/((-50)/12). Let o be 8/6 - 2/(-3). Let l(m) = -o*m - m + m. Give l(j). -2 Let j(f) = f**2 + 6*f - 8. Let i(m) = -m**3 - 11*m**2 + 14*m + 18. Let a be i(-12). Calculate j(a). -8 Suppose -a = -4 + 1. Let l be (1 - -2) + a + -3. Let t = l + 1. Let h(u) = -u**2 + 6*u - 4. Determine h(t). 4 Let j(n) = n + 7. Let l = 7 + -7. Let h = l + 3. Let q be (-9)/h - (-2)/(-1). Determine j(q). 2 Let o(r) = 7*r**3 - r**2. Let h be ((-11)/(-2) - 3)*2. Suppose -2*s = -s - h*u + 26, 4*u - 16 = -4*s. Calculate o(s). -8 Let i(h) = h**3 - 6*h**2 - 5*h - 8. Let p be i(7). Suppose -p*r + 5 = -r. Let l(x) = 6*x**2. Give l(r). 6 Let h(w) = w + 4. Let d be (4 - 5)/((12/21)/4). Calculate h(d). -3 Let l(c) = -c**3 - 3*c**2 - 3*c. Suppose -b = b. Let q = 1 + b. Let z = -3 + q. What is l(z)? 2 Let q(n) = -2*n - 6. Suppose 0 = 5*s - 3*s - 12. Suppose 3*c + s = 0, 0 = w - 4*c - 1 - 3. Give q(w). 2 Let n(s) = 4 - s**2 + 3 - 2*s - 3. Let l = 87 - 90. Give n(l). 1 Let o(y) = 2*y**3 + 2*y**2 + 2*y - 1. Suppose 0 = 2*x - 7 + 11. Calculate o(x). -13 Let w(n) = n**2 - 9*n - 1. Let z(g) = -2*g**2 + 17*g + 1. Let m(k) = 7*w(k) + 4*z(k). Suppose -3*b + 8*b = 15. Give m(b). 3 Suppose 2*i = -2*y + 3*i + 17, 3*i = -2*y - 3. Let w(f) = f**3 - 6*f**2 + 3. Determine w(y). 3 Let n(c) = -c - 3. Let j be n(11). Let u = -13 - j. Let y(a) = -5*
{ "pile_set_name": "DM Mathematics" }
9, 503 List the prime factors of 4908759. 3, 821, 1993 What are the prime factors of 254433? 3, 84811 What are the prime factors of 474690? 2, 3, 5, 15823 List the prime factors of 329948. 2, 82487 What are the prime factors of 329819? 7, 53, 127 What are the prime factors of 473979? 3, 11, 53, 271 What are the prime factors of 5803658? 2, 7, 59221 What are the prime factors of 1998765? 3, 5, 44417 What are the prime factors of 149003? 109, 1367 What are the prime factors of 2165478? 2, 3, 7, 47, 1097 List the prime factors of 7906886. 2, 13, 101, 3011 List the prime factors of 273361. 11, 24851 List the prime factors of 3693835. 5, 53, 263 What are the prime factors of 726725? 5, 41, 709 List the prime factors of 20673. 3, 2297 List the prime factors of 15491405. 5, 67, 131, 353 List the prime factors of 370035. 3, 5, 2741 What are the prime factors of 703638? 2, 3, 13, 31, 97 What are the prime factors of 56416? 2, 41, 43 List the prime factors of 19641. 3, 6547 List the prime factors of 15439. 15439 List the prime factors of 1219599. 3, 135511 List the prime factors of 2049457. 53, 38669 What are the prime factors of 3137801? 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3, 97, 2887 What are the prime factors of 6911051? 7, 987293 What are the prime factors of 2091971? 7, 298853 What are the prime factors of 15030682? 2, 41, 183301 What are the prime factors of 3786584? 2, 503, 941 List the prime factors of 4054237. 11, 67, 5501 List the prime factors of 88905. 3, 5, 5927 List the prime factors of 37194. 2, 3, 6199 List the prime factors of 193611. 3, 11, 5867 What are the prime factors of 24398109? 3, 19, 61, 2339 What are the prime factors of 119517? 3, 39839 List the prime factors of 162501. 3, 54167 What are the prime factors of 1675062? 2, 3, 93059 What are the prime factors of 1855710? 2, 3, 5, 29, 79 What are the prime factors of 729032? 2, 91129 List the prime factors of 4728084. 2, 3, 394007 What are the prime factors of 204953? 7, 19, 23, 67 What are the prime factors of 314820? 2, 3, 5, 11, 53 What are the prime factors of 278533? 71, 3923 List the prime factors of 1557945. 3, 5, 89, 389 List the prime factors of 6757850. 2, 5, 11, 1117 List the prime factors of 1746402. 2, 3, 7, 43, 967 What are the prime factors of 8500072? 2, 7, 151787 List the prime factors of 59881. 233, 257 List the prime factors of 67573. 11, 6143 What are the prime factors of 140488? 2, 17, 1033 List the prime factors of 219571. 11, 19961 List the prime factors of 32243718. 2, 3, 13, 157, 2633 What are the prime factors of 7694766? 2, 3, 293, 1459 List the prime factors of 3210997. 41, 78317 List the prime factors of 12177995. 5, 37, 65827 What are the prime factors of 11672615? 5, 23, 101501 What are the prime factors of 183646? 2, 91823 What are the prime factors of 1692592? 2, 11, 59, 163 What are the prime factors of 261880? 2, 5, 6547 List the prime factors of 959763. 3, 7, 6529 What are the prime factors of 18165436? 2, 43, 105613 What are the prime factors of 769608? 2, 3, 7, 509 List the prime factors of 1436303. 11, 37, 3529 What are the prime factors of 289387? 7, 41341 List the prime factors of 10112861. 11, 919351 What are the prime factors of 158396? 2, 7, 5657 List the prime factors of 2483094. 2, 3, 413849 What are the prime factors of 194588? 2, 48647 What are the prime factors of 3117895? 5, 11, 83, 683 What are the prime factors of 557339? 557339 What are the prime factors of 586409? 29, 73, 277 List the prime factors of 3144056. 2, 393007 List the prime factors of 1367196. 2, 3, 113933 What are the prime factors of 95433? 3, 13, 2447 What are the prime factors of 46537? 173, 269 What are the prime factors of 295571? 295571 What are the prime factors of 197721? 3, 2441 List the prime factors of 1329280. 2, 5, 31, 67 List the prime factors of 171927. 3, 7, 2729 List the prime factors of 2010314. 2, 19, 52903 What are the prime factors of 703200? 2, 3, 5, 293 What are the prime factors of 3692308? 2, 19, 2557 List the prime factors of 112031. 112031 What are the prime factors of 1058858? 2, 389, 1361 List the prime factors of 7895. 5, 1579 List the prime factors of 21576. 2, 3, 29, 31 List the prime factors of 6051885. 3, 5, 7, 57637 List the prime factors of 11856717. 3, 1317413 List the prime factors of 1098595. 5, 23, 41, 233 What are the prime factors of 35252113? 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{ "pile_set_name": "DM Mathematics" }
+ 14. Let r be b(-5). What is the first derivative of 359 + 3*h**4 + 3*h - 6*h**4 - 7*h**r - 375 wrt h? -40*h**3 + 3 Find the first derivative of -73*k**2 + 106 - 2486*k + 2486*k + 3*k**3 wrt k. 9*k**2 - 146*k Let o = 32 - 53. Let g be ((-1)/3)/(o/315). Find the second derivative of -16*v**g + 39*v**5 - 10*v**5 - 2*v wrt v. 260*v**3 Let j(d) = -d**3 - 13*d**2 - 17*d - 2. Let a be j(-12). Differentiate 39*k**4 + 6*k**2 - a - 44*k**4 - 6*k**2 wrt k. -20*k**3 Differentiate -9*m**4 - 864 + 372*m**2 - 176*m**2 - 172*m**2 wrt m. -36*m**3 + 48*m Let t = 482 - 480. What is the second derivative of -29*w**t + w - 131202 - 2*w**5 - 13*w**2 + 131142 wrt w? -40*w**3 - 84 Let l(o) = -2*o**3 + 2*o**2 + o + 2. Let v(w) = -1655*w**3 - 6*w**2 + 92. Let j(g) = -3*l(g) - v(g). What is the second derivative of j(x) wrt x? 9966*x Let p(g) = 37*g - 144. Let l be p(4). Differentiate -44*q + 0*q**4 + 65*q**l + 43*q + 44 wrt q. 260*q**3 - 1 Let u = -17 - -19. Find the third derivative of 146*v**u + 33*v**4 + 36*v**4 + 2 + 52*v**4 - 3*v**4 wrt v. 2832*v Suppose 509*k - 344 = 337*k. Let t(m) be the first derivative of 33*m + 0*m**k + 0*m**3 - 5/4*m**4 - 16. Differentiate t(d) with respect to d. -15*d**2 Suppose 4*z + z + 110 = 0. Let y = z + 26. Find the third derivative of -10*d**2 + 4*d**4 - 7*d**y - 6*d**4 wrt d. -216*d Let s(n) = 10*n**3 + 17*n + 1054. Let q(b) = 30*b**3 + 49*b + 3163. Let f(z) = 2*q(z) - 7*s(z). Differentiate f(k) wrt k. -30*k**2 - 21 Let m be (-21)/105 - (-1)/5. Suppose m = 3*u + 4*i - 73, u + u - 87 = 5*i. Find the third derivative of 20*b**3 + 17*b**3 - u*b**3 - 13*b**2 wrt b. 36 Let z be (-2093)/(-5 + -2) - -1. What is the third derivative of -26*o**6 + 19 + 150*o**2 + 152*o**2 - 9*o**6 - z*o**2 wrt o? -4200*o**3 Suppose -2*b - 5*u + 4*u - 14431 = 0, 3*b + 21650 = -5*u. Let d = -4813 - b. Differentiate d - 5*j**2 - j - 2398 + j wrt j. -10*j Let o(m) be the first derivative of -m**2/2 + 29*m + 26. Let i be o(27). Find the third derivative of 2 - i + 6*l**2 + 11046*l**3 - 11053*l**3 wrt l. -42 Suppose -3*u + 6*u - 9 = 0. Suppose 2*h + 164 = 84*h. Find the third derivative of 14*k**h + 45*k**u - k**2 - 30*k**3 wrt k. 90 Let d = 231 + -231. What is the second derivative of -j + d*j - 12045 + 3*j**2 - 19*j**3 + 12147 wrt j? -114*j + 6 Suppose 2*c + 2054 = 2058. Suppose -4*a - 4*k + 2*k = -34, -5 = -5*a + 5*k. What is the second derivative of -2*r**3 - 6*r**c + a*r**2 + 21*r wrt r? -12*r Let g be -10 - (-1455)/135 - 2/(-9). Let a(t) = 76*t**2 + 76. Let o(q) = -q**2. Let d(m) = g*a(m) + 5*o(m). Differentiate d(s) with respect to s. 142*s Let i(j) = -56*j**2 + 5. Let w = 9 - 3. Let q = -5 + 0. Let b(h) = -57*h**2 + 4. Let s(n) = q*b(n) + w*i(n). Differentiate s(g) with respect to g. -102*g Let x(u) = 15*u**3 + 118*u**2 - 14*u + 1697. Let j(w) = 14*w**3 + 119*w**2 - 12*w + 1699. Let h(z) = -7*j(z) + 6*x(z). Differentiate h(b) wrt b. -24*b**2 - 250*b Let m(k) = -1020*k**5 + 2077*k - 17. Let g(d) = 339*d**5 - 692*d + 6. Let x(s) = -17*g(s) - 6*m(s). What is the second derivative of x(y) wrt y? 7140*y**3 Find the second derivative of -1503*k + 2707*k + 12*k**2 + 2486*k + k**5 + 146*k**2 wrt k. 20*k**3 + 316 Suppose -4*c - 4*g - 194 = -3*g, 2*c + 104 = 3*g. Let x = c - -51. Find the first derivative of -31*f**x - 36 + 0*f**2 + 2*f**2 wrt f. -58*f What is the third derivative of -6258*b - 4*b**2 - 123*b**5 - 8382*b**5 + 6000*b wrt b? -510300*b**2 Suppose 8*d - 1256 - 712 = 0. Differentiate 307 - 54 - 153*a**2 + 246*a - d*a wrt a. -306*a Let p be (-30)/8*24/(-9). What is the second derivative of p*a**4 - 11*a**4 - 2*a**3 + 4*a**3 + 13 + 7*a - 8*a wrt a? -12*a**2 + 12*a Let w be 1*((-6)/(-21))/((-15)/(-210)). Find the third derivative of -w + 2 - 45*b**3 + 6*b**2 - 54*b**2 - 1 + 18*b**2 wrt b. -270 Let n be 11/(-44) + (135/12 - 6). Let r be 0 + (2 - -8*1). What is the third derivative of -9*d**2 + 0*d**2 - 2*d**2 + r*d**n + 8*d**5 wrt d? 1080*d**2 Let p(j) = 18*j**4 - 19*j**3 + 31*j**2 - 2*j + 82. Let y(o) = -o**4 + o**3 + o - 28. Let z(x) = -p(x) - 2*y(x). What is the third derivative of z(f) wrt f? -384*f + 102 What is the second derivative of -438*s**5 - 22*s + 1294*s**4 - 658*s**4 - 7 - 334*s**5 - 636*s**4 wrt s? -15440*s**3 Suppose 20*n - 1294 - 166 = 0. Find the first derivative of 19*u - 32*u - 64 + n wrt u. -13 Let h(s) be the second derivative of -41*s**5/5 + 9*s**4 + 3*s**3/2 - s - 927. What is the third derivative of h(i) wrt i? -984 Let v(b) be the second derivative of -3*b**6/10 - 7*b**4/12 + 1746*b**2 + 1509*b. Find the first derivative of v(f) wrt f. -36*f**3 - 14*f Let p(q) be the first derivative of -3889*q**4/4 - 19*q**3/3 - q**2 - q - 1848. What is the third derivative of p(d) wrt d? -23334 Let q(l) be the first derivative of l**4/2 + 5335*l**3/3 - 7019*l**2 + 2125. What is the second derivative of q(u) wrt u? 12*u + 10670 Let h(r) be the second derivative of 0*r**5 + 0 + 34/15*r**6 + 0*r**2 + 1/6*r**3 + 1/3*r**4 + 72*r. Find the third derivative of h(w) wrt w. 1632*w Let f(h) be the first derivative of 1495*h**6/6 + 23*h**2/2 + 149*h - 274. Find the second derivative of f(i) wrt i. 29900*i**3 Suppose -j = 2*j + 4*z - 1, 3*j - 2*z = -23. Let c be (3/j - 6/(-10)) + 3. What is the first derivative of 23*m**c - 22 + m**3 + 10*m**3 wrt m? 102*m**2 Let k(d) be the second derivative of -d**7/14 + d**5/20 - 331*d**4/12 + 1153*d**3 + 11119*d. Find the second derivative of k(q) wrt q. -60*q**3 + 6*q - 662 Find the first derivative of 251*j + 2356 - 474*j - 17*j**2 + 176*j wrt j. -34*j - 47 Let z(g) be the third derivative of -g**8/84 - 137*g**7/30 - g**5/10 - 13*g**4/8 - g**3/2 + 6*g**2 - 564. Find the third derivative of z(w) wrt w. -240*w**2 - 23016*w Let y be ((-5)/(-80)*8)/(2/4). Let c(w) = 234*w. Let s(l) = l + 2. Let n(f) = y*c(f) + 65*s(f). Find the first derivative of n(g) wrt g. 299 Let i(p) be the second derivative of -1857*p**4/4 - 1175*p**3 - 191*p + 3. What is the second derivative of i(d) wrt d? -11142 Let k be (-16)/6*-1 - (-23)/69. What is the third derivative of k + 34*q**3 - 65*q**2 + 24*q**2 - 3 wrt q? 204 Suppose -4*h - 84 = -4*s, 8*s - 9*s - 4*h + 36 = 0. Find the second derivative of 14*k - s*k + 5 - 40*k**2 - 9 wrt k. -80 Find the first derivative of 1492 - 32 + 152*n + 1093 - 1584*n wrt n. -1432 Find the third derivative of 111*y**2 + 174*y**2 + 19*y - 77*y**2 - 19*y - 876*y**4 wrt y. -21024*y Differentiate 715*b**2 - 85 - 160 - 145 with respect to b. 1430*b What is the third derivative of -3*n**4 + n**3 + 368774*n**2 - n**3 - 370176*n**2 wrt n? -72*n Suppose -211 = -5*y + z, -5*y = -3*z + 4*z - 219. Differentiate -147*o**2 - y + 6*o - 6*o + 147*o**2 - 216*o**3 with respect to o. -648*o**2 Suppose 0 = -6*b + 13 - 1. Suppose 0 = b*w + 1 - 5. What is the third derivative of -7*r**w - 65*r - 17*r**3 + 65*r wrt r? -102 Find the second derivative of 675*z**2 + 1075*z**2 + 493*z**2 + 379*z**2 + 1774*z wrt z. 5244 Let s(i) = -390*i - 481. Let g(m) = 129*m + 161. Let v(a) = -11*g(a) - 4*s(a). What is the first derivative of v(u) wrt u? 141 What is the third derivative of 4*j + 1011*j**4 + 12*j**6 - 66*j**6 + 52*j**6 + 2 + 34*j**2 wrt j? -240*j**3 + 24264*j What is the second derivative of 7*j**3 - 2400*j - 1040*j + 704*j**2 - 3048*j + 727*j**2 - 1790*j**2 wrt j? 42*j - 718 Suppose c + 2 = t - 3*c, -5*c = -t + 2. Suppose 0 = -4*y + t*w + 2, w = -4*w + 25. Differentiate y - 18*q**4 + 32*q**4 + 7 with respect to q. 56*q**3 Let v(i) = -25*i**2 - 19*i - 5. Let a(u) = u**2 + u + 1. Let m = 83 + -17. Let d = m - 61. Let l(q) = d*a(q) + v(q). Find the second derivative of l(n) wrt n. -40 Let j(u) be the third derivative of 113*u**6/15 + u**5/15 + 1253*u**4/12 + 3*u**2 + 2*u + 8. Find the second derivative of j(c) wrt c. 5424*c + 8 Let q(y) be the third derivative of 0*y**3 - 1/105*y**7 - 17*y**2 - 3/5*y**5 + 0 - 17/24*y**4 + 0*y + 0*y**6. Find the second derivative of q(m) wrt m. -24*m**2 - 72 Let l = 216 + -213. What is the second derivative of 15*j**l + 71*j**3 + 63*j**3 - 81*j**3 - 3*j wrt j? 408*j Let x(w) = -w**2 - 14*w - 20. Let v be x(-12). Find the first derivative of -35 + 2*o + 0 + 13*o**v + 13 wrt o. 52*o**3 + 2 What is the third derivative of 1485*o - 186*o**2 - 753*o - 741*o + 72*o**4 wrt o? 1728*o Let w(h) be the second der
{ "pile_set_name": "DM Mathematics" }
1597, 1638, 1703, 1792? 1905 What comes next: -349, -2598, -8697, -20572, -40149, -69354? -110113 What is the next term in 4916, 9779, 14656, 19553, 24476, 29431, 34424? 39461 What is next in -87026, -174034, -261042, -348050? -435058 What comes next: -1811, -7443, -16829, -29969, -46863, -67511, -91913? -120069 What is the next term in 497076, 497075, 497074? 497073 What is next in -2506, -2587, -2728, -2929, -3190, -3511? -3892 What is the next term in 112, 226, 330, 424? 508 What is next in 195, 129, 45, -57, -177, -315, -471? -645 What is next in 252, 1948, 6528, 15432, 30100, 51972? 82488 What comes next: 1413, 2818, 4221, 5622, 7021, 8418? 9813 What is the next term in -5703, -5698, -5691, -5682, -5671, -5658? -5643 What comes next: -23190, -46263, -69336, -92409, -115482? -138555 What comes next: -53231, -53254, -53315, -53432, -53623, -53906, -54299? -54820 What is next in 53, 54, 55, 56, 57? 58 What comes next: 121, 701, 2167, 4963, 9533, 16321? 25771 What is the next term in 700, 760, 820, 880, 940, 1000? 1060 What is the next term in -832, -1686, -2556, -3454, -4392, -5382, -6436, -7566? -8784 What is the next term in 23694, 47351, 70998, 94629, 118238? 141819 What is the next term in 20493, 20529, 20583, 20661, 20769? 20913 What is next in -80055, -80037, -79993, -79911, -79779, -79585, -79317? -78963 What is next in 764, 1951, 3138, 4325? 5512 What is next in -30, -78, -124, -138, -90, 50, 312, 726? 1322 What is the next term in 2105, 4176, 6253, 8336, 10425, 12520, 14621? 16728 What is next in 868, 3397, 7614, 13519? 21112 What is next in 19985, 39936, 59887, 79838, 99789? 119740 What comes next: -8, 313, 634, 955, 1276, 1597? 1918 What comes next: -480, -838, -1196, -1554, -1912? -2270 What comes next: -4626, -9121, -13618, -18117? -22618 What is next in -70, -156, -244, -334, -426, -520? -616 What is next in 3160, 6359, 9558? 12757 What is next in -1858, -4046, -6232, -8416? -10598 What is next in 16, 105, 244, 433? 672 What is next in 49730, 99457, 149178, 198893, 248602, 298305, 348002? 397693 What comes next: -243393, -243394, -243395, -243396? -243397 What comes next: 285, 293, 27, -513, -1327, -2415? -3777 What comes next: -339, -916, -1745, -2826, -4159? -5744 What is next in -7705, -7694, -7669, -7624, -7553, -7450, -7309? -7124 What is the next term in -3943, -15780, -35497, -63088, -98547, -141868, -193045? -252072 What comes next: 41910, 83791, 125672, 167553, 209434, 251315? 293196 What is next in -489660, -979323, -1468986? -1958649 What is next in -261, -42, 323, 834, 1491, 2294? 3243 What is the next term in -976, -836, -696? -556 What is the next term in 480591, 961183, 1441775, 1922367? 2402959 What is next in -10, -74, -92, 8, 298, 850, 1736, 3028? 4798 What is the next term in -12764, -51051, -114862, -204197, -319056? -459439 What is next in -288, -696, -1104, -1512, -1920, -2328? -2736 What is the next term in -3734, -14477, -32374, -57419, -89606, -128929? -175382 What comes next: 39728, 39735, 39742, 39749, 39756? 39763 What is the next term in 711, 842, 1021, 1266, 1595, 2026, 2577, 3266? 4111 What is next in -418, -874, -1336, -1804, -2278, -2758? -3244 What is the next term in 245484, 981926, 2209330, 3927696, 6137024, 8837314? 12028566 What comes next: 289, 1244, 2871, 5170? 8141 What is next in -2249, -4464, -6643, -8786, -10893, -12964, -14999? -16998 What is next in 168, 684, 1548, 2760, 4320, 6228? 8484 What is the next term in -1964, -3609, -5254, -6899? -8544 What is next in -70794, -141589, -212384, -283179? -353974 What is next in 6085, 12151, 18217? 24283 What comes next: 232, 859, 1888, 3313, 5128, 7327, 9904, 12853? 16168 What comes next: -28298, -28295, -28292, -28289, -28286? -28283 What is next in 841, 1192, 1541, 1888, 2233? 2576 What comes next: 5628, 11469, 17310, 23151, 28992? 34833 What is next in 27128, 27124, 27118, 27110, 27100? 27088 What is the next term in 1036, 2076, 3112, 4144? 5172 What comes next: 8076, 8081, 8086? 8091 What comes next: 12031, 12035, 12041, 12049, 12059, 12071, 12085? 12101 What is the next term in -9571, -38214, -85953, -152788, -238719, -343746, -467869? -611088 What is next in 5851, 23379, 52601, 93523, 146151? 210491 What is next in -6893, -6896, -6913, -6950, -7013, -7108, -7241, -7418? -7645 What is the next term in 95, 773, 2601, 6149, 11987, 20685? 32813 What is next in -128, -535, -1228, -2207? -3472 What comes next: -6169, -12330, -18495, -24670, -30861, -37074? -43315 What is the next term in -38, -182, -432, -788? -1250 What is the next term in 864149, 864146, 864143, 864140, 864137, 864134? 864131 What is next in -14082, -28168, -42254, -56340, -70426, -84512? -98598 What is the next term in 922, 3692, 8312, 14776, 23078, 33212, 45172? 58952 What comes next: 8355, 8335, 8305, 8259, 8191? 8095 What is the next term in 1500, 2682, 3864, 5046, 6228? 7410 What is the next term in -26835, -26840, -26849, -26862, -26879, -26900? -26925 What is the next term in -62, 37, 134, 229, 322, 413, 502? 589 What comes next: -59, -129, -181, -203, -183? -109 What is the next term in -77694, -77692, -77690, -77688, -77686? -77684 What comes next: 22833, 45660, 68481, 91296, 114105, 136908? 159705 What is next in 554, 753, 928, 1067, 1158? 1189 What is the next term in 22088, 22079, 22072, 22067, 22064, 22063, 22064? 22067 What is the next term in -1642, -1799, -1956, -2113? -2270 What is next in 4453, 6883, 10925, 16573, 23821, 32663? 43093 What is the next term in -6573, -12941, -19309, -25677, -32045, -38413? -44781 What is the next term in 332221, 664426, 996615, 1328782, 1660921, 1993026, 2325091, 2657110? 2989077 What comes next: -216620, -216618, -216616, -216614? -216612 What comes next: -28, -83, -88, 41, 388? 1037 What comes next: -223, -250, -281, -316, -355, -398, -445? -496 What is the next term in -4632, -16353, -35888, -63237, -98400, -141377? -192168 What is next in 9006, 18011, 27016, 36021, 45026, 54031? 63036 What comes next: 342, 277, 252, 267? 322 What is next in 3871, 30418, 102469, 242776, 474091, 819166? 1300753 What is the next term in 2000, 2001, 2002, 2003, 2004? 2005 What comes next: 257, 336, 375, 380, 357, 312? 251 What is next in 72984, 72985, 72988, 72993, 73000, 73009? 73020 What comes next: -284, -676, -1742, -3818, -7240, -12344? -19466 What is next in -571, -1318, -2085, -2872, -3679? -4506 What comes next: -315, -1221, -2723, -4815, -7491, -10745, -14571, -18963? -23915 What is next in 217, 729, 1481, 2467, 3681, 5117? 6769 What is the next term in 414, 780, 1132, 1464, 1770, 2044, 2280? 2472 What is the next term in 1742, 3516, 5316, 7142? 8994 What is the next term in -3365, -6888, -10411, -13934, -17457? -20980 What is next in 52, 64, 62, 46, 16, -28? -86 What is next in 31661, 63317, 94971, 126623? 158273 What is next in 536, 1654, 2770, 3884, 4996, 6106, 7214? 8320 What comes next: 257563, 257573, 257595, 257635, 257699, 257793? 257923 What is next in 59120, 118240, 177360, 236480, 295600, 354720? 413840 What comes next: 2329, 2249, 2175, 2113, 2069, 2049? 2059 What is next in 16, -41, -136, -269? -440 What comes next: -2902, -2818, -2734, -2650? -2566 What comes next: 3519, 3644, 3769, 3894, 4019? 4144 What is next in -15141, -30237, -45333? -60429 What is the next term in -1411, -5480, -12207, -21592? -33635 What is next in 2401609, 2401612, 2401615, 2401618, 2401621, 2401624? 2401627 What is the next term in 1405, 2843, 4291, 5743, 7193? 8635 What comes next: 107, 375, 803, 1475, 2475, 3887, 5795? 8283 What is the next term in 4466, 4457, 4448? 4439 What is next in 16942, 16928, 16916, 16906, 16898? 16892 What is the next term in 13115, 52474, 118079, 209930, 328027, 472370, 642959? 839794 What is next in 720, 858, 996, 1134, 1272? 1410 What is the next term in -1645, -1649, -1657, -1669, -1685, -1705, -1729? -1757 What comes next: -20167, -20166, -20165, -20164, -20163, -20162? -20161 What is the next term in 346322, 346332, 346340, 346346? 346350 What comes next: 26, 329, 842, 1571, 2522, 3701, 5114, 6767? 8666 What comes next: -70, -219, -420, -667, -954, -1275, -1624, -1995? -2382 What is next in -10100, -20203, -30306? -40409 What comes next: 33308, 33342, 33386, 33446, 33528, 33638, 33782, 33966? 34196 What
{ "pile_set_name": "DM Mathematics" }
i and 4? 20 Let y be -1 - (0 - 18250131/(-33)). Let q = y + 553616. Let a = 583 - q. What is the common denominator of 97/4 and a? 44 Let w(f) = f**3 + 6*f**2 + 4*f + 2. Let c be w(-5). Suppose g - 13 = c. Calculate the least common multiple of g and 18. 180 Let k = -54 + 62. Calculate the smallest common multiple of k and 16. 16 Let r be (-2)/(-3)*9/6. Suppose 3*g = 4*x + 1, -6*x = -x - 3*g - r. Calculate the smallest common multiple of x and 6. 6 Suppose 3*o - 4*s - 36 = s, -4*o = 2*s - 48. Let v be 44519*(1/o + 0). Let f = v + -3715. What is the common denominator of f and 111/22? 132 Let w = 18799 - 507514/27. Calculate the common denominator of 143/36 and w. 108 Let o be 4/18 - 478705/450. Let y = 1411/10 - o. Let j = y + -1187. Calculate the common denominator of j and -41/2. 6 Suppose 0 = -2*z - 10, 0 = 6*g - 7*g + 3*z + 23. Calculate the smallest common multiple of (7/4 + -1)*g and 4. 12 What is the lowest common multiple of 26 and 2 + 2 - 7 - -9? 78 Let f = 7992/35 - -251099/280. Let y = f - 1127. What is the common denominator of 99/16 and y? 16 What is the common denominator of -7/20 and (((-165)/(-144))/11)/(1/10)? 120 Let w = 15 + -11. Let j be 5 - (1 + 4 - 2). Let s = 4 - j. What is the smallest common multiple of w and s? 4 Calculate the smallest common multiple of 10 and (-55)/15*-3*2. 110 Calculate the common denominator of 2/6 - 46/(-240) and -71/22. 440 Suppose 4*p - 16 = -3*r + 13, -2 = 2*r. Calculate the smallest common multiple of p and 20. 40 Suppose 12 = 3*v - 3*s, v + v - 12 = -2*s. What is the lowest common multiple of v and 6? 30 Calculate the common denominator of ((-74)/36)/((-12)/48) and 12/7. 63 Calculate the common denominator of -113/10 and 21/9*(-1 + (-1)/2). 10 Suppose 2*n + 3*c = -4398, 3*n - 5*c + 0*c = -6578. Let q = -48303/22 - n. Find the common denominator of q and 97/18. 198 Let n be (-3)/6*0/3. Find the common denominator of 89/4 and n + (276/(-15))/2. 20 Let z(n) = 6*n - 21. What is the lowest common multiple of 12 and z(7)? 84 Let n = -96 + 105. What is the lowest common multiple of 11 and n? 99 Let m = -11 + 13. Calculate the lowest common multiple of 3/((-34)/20 + 2) and m. 10 Let a = -5707/602 + -6/301. Let m = -28875884 - -577227559/20. Let y = m - -14512. What is the common denominator of a and y? 20 Let n be 6/(((-1)/(-1))/1). Suppose n = x + 3. Let u(f) = -f**2 - 11*f - 10. What is the smallest common multiple of u(-9) and x? 24 Let j = 8 - -3. What is the smallest common multiple of j and 11? 11 Let l = 11 - 31. Suppose -3*d + 25 = 3*q + q, -32 = -4*q + 4*d. What is the lowest common multiple of (-5)/l + 11/4 and q? 21 Let q = 342 - 153. Let d = 321/22 - 215/22. Calculate the common denominator of 10/(-12)*q/(-10) and d. 44 Let s(w) = 4*w + 2. Let u(q) = -q**2 + 15*q + 20. Calculate the smallest common multiple of s(5) and u(15). 220 Find the common denominator of 249/(-2)*2/(-60) and 15/8. 40 Let s = 43 + -644/15. What is the common denominator of s and -13/2? 30 Let m be 2/(-4) + 52/129. Let b = m - 8543/1032. Let t = 2261/36 + -446/9. What is the common denominator of t and b? 8 Suppose -3*d = o + 1, d + 9 = 2*d - 2*o. Calculate the smallest common multiple of d and 4. 4 Suppose 0 = -2*r + 4*r - 12. Calculate the smallest common multiple of r and 18. 18 Let h = 7 + -5. Suppose -3*b - 2 = -4*b, -5*b = h*c - 30. Suppose 5*t + 3 = -4*j + 16, -3*j - 4*t = -c. What is the smallest common multiple of j and 2? 2 Let u = -166 + 65. Let k be ((-42)/3 + 1)/u. Let p = -3773/505 - k. Calculate the common denominator of -53/3 and p. 15 Suppose n = -2*o + 8, 5*n - 6 - 4 = 0. Let i = 6 + -3. What is the least common multiple of i and o? 3 Suppose -5*n - 4*j + 16 = 0, -1 = -5*n + 5*j + 24. Suppose 8 = 2*u - 5*u - g, -n*u + 3*g - 2 = 0. Find the common denominator of -99/2 and 10/44 - (-2)/u. 22 Suppose 0 = 5*n - 2*w - w - 39, 0 = 5*n - 4*w - 42. Calculate the lowest common multiple of 6 and n. 6 Suppose 0 = -5*o + 2*z - 8 + 48, 2*o + 2*z - 2 = 0. Let c = 50 - 6. Suppose 6*t = 4*t + c. What is the smallest common multiple of o and t? 66 Suppose 6 = 5*u - 4*u. Let s be ((-22)/u)/(3/(-9)). Let l = s - 1. What is the smallest common multiple of 2 and l? 10 Find the common denominator of (-35)/(-168)*-14*1 and 21/16. 48 Let f = -2 + 2. Suppose f*x - 6 = -j + 2*x, -2*j + 2*x = -8. Calculate the least common multiple of 7 and j*((-10)/(-4) + -1). 21 Let w = -16519/6 - -2768. What is the common denominator of w and -61/326? 978 Suppose -c = 2*i - 4*c - 16, -5*c = -3*i + 25. Suppose 2*u = 5*l - 6, -i*l + 48 = 2*u + 2*u. Calculate the lowest common multiple of u and 9. 63 Suppose -2*s = -5*s - 9, 5*h - 5*s - 95 = 0. Suppose 0 = 5*b + h - 56. Calculate the least common multiple of 11 and b. 88 Let s = 22 - 20. What is the least common multiple of s and 10? 10 What is the common denominator of 25/44 and (-178)/(-64) - (3 - (-12)/(-4))? 352 Let h(a) = -3*a**3 - a**2 - a. Suppose 62 = 4*q + 3*u + 21, 0 = 5*q + 5*u - 55. What is the smallest common multiple of h(-2) and q? 88 Let w(z) = 2*z + 12. Let y be w(-8). Let f = -4 - y. Calculate the common denominator of -2 + 59/(-2) + f and -107/14. 14 Let i = -6 + 10. Suppose -2*f + 48 = -i*a, -f - 5*a = 3*f - 31. Suppose -5 = -b + 5. What is the smallest common multiple of f and b? 70 Let m = 49 + -41. Calculate the smallest common multiple of 5 and m. 40 Let a = 19347 - 11218. Let i = a + -48665/6. Let u = 130467/10 - 13058. Find the common denominator of i and u. 30 Let n = -4 + 7. Suppose -n*y = a - 22, -a - 2*y + 5 = -13. Suppose -m - m - z = -a, 2*m - 4*z = 0. Calculate the least common multiple of m and 20. 20 Suppose -i - 2*q - 4 = -2*i, 2*q = 3*i. What is the smallest common multiple of 11 and 88/9 + i/(-9)? 110 Let y = -27001/6 + 4510. What is the common denominator of 79/16 and y? 48 Suppose -q = 2*z + 353, -q - 528 = 3*z + q. Let c be 3342/z*105/(-108). Let w = -1/267 + c. Calculate the common denominator of w and -11/18. 36 Suppose 2*u - 7 - 5 = 0. Let y = u - 4. What is the lowest common multiple of y and 6? 6 Suppose y - 18 = -7. Calculate the smallest common multiple of 7 and y. 77 Let g be -3*(2/(-6) + -1). Suppose -4*w - o + 8 = 0, g*o = w - 4 + 2. Suppose 6 + w = 2*a. What is the smallest common multiple of a and 11? 44 Suppose 0 = 4*u + 141 - 41. Let b = -15 - u. What is the lowest common multiple of b and 11? 110 Calculate the lowest common multiple of ((-20)/12 + 2)/((-2)/(-6)) and 11. 11 Let t be 3 + -1 + 1*-7. Let n(a) = -a + 3. Let o = 361 - 358. What is the smallest common multiple of n(t) and o? 24 Let f be -163 - (4 - (-1 - -3)). Let b = -1 - -2. Find the common denominator of (-760)/f - b/3 and 81/16. 176 Let i = -2 - -3. Let a = 22 + -20. What is the lowest common multiple of i and a? 2 Suppose 3*w - c - 1 = -3, -2*w + 5*c = 23. Let d be w/5 + 8868/10. Let v = -4497/5 + d. What is the common denominator of v and 48/11? 55 Let n = -2 + 13. What is the smallest common multiple of n and 3? 33 Let i be ((-6)/(-2))/(3/64). Suppose 6*z = 2*z + i. Calculate the smallest common multiple of z and 2. 16 Let h(m) = m**3 + m**2 + m - 2. Let u be h(0). Find the common denominator of -49/4 and (-95)/(-8) + 4/u. 8 Find the common denominator of -25/13 and ((-104)/10 - -1) + -3. 65 Let o(w) = -w**2 - 4*w - 2. Let f be o(-3). Let n = -3 - f. What is the lowest common multiple of 54/8 + (-1)/n and 2? 14 Suppose 0 = 3*v - 3*l - 28 - 14, -12 = -v + 2*l. Calculate the common denominator of -22/3 and v. 3 Suppose 3*g + 55 - 2 = 2*m, g = m - 19. Calculate the least common multiple of (-2 - g/9)*-9 and 7. 21 Let u = -158 + 1657/10. Calculate the common denominator of u and -131/6. 30 Let b = 3799/74120 + 2/9265. Find the common denominator of -83/18 and b. 1224 Let l = -2429/86 + -11/43. Let a be (-174)/10 - (1 - 0). Let m = -37/2 - a. Find the common denominator of l and m. 10 Let i = 38 + -22. Suppose 0 = -g + 1, -3*c + 2*c = g - 5. What is the least common multiple of i and c? 16 Let f = 2/2691 + -113044/29601. Find the common denominator of f and -12/7. 77 Let n be 4/14 - (-61300)/(-28). Let z = n - -21913/10. Calculate the common denominator of -53/18 and z. 90 Let n(a) = -a**3 + a**2 + 3. Let c be n(0). Suppose c*j + 3 - 75 = 0. What is the least common mult
{ "pile_set_name": "DM Mathematics" }
-2 Solve 77 = 146*a - 215 for a. 2 Solve 162*l + 682 = -290 for l. -6 Solve -1319*b + 3799 = -1450*b for b. -29 Solve -220*k - 478 = 622 for k. -5 Solve -487*r - 4843 = -947 for r. -8 Solve -25 + 259 = 26*s for s. 9 Solve -16 = 973*o + 1930 for o. -2 Solve -59*w + 33*w + 12*w - 56 = 0 for w. -4 Solve -79*f - 186*f - 68 = -68 for f. 0 Solve 40*d - 53 = 827 for d. 22 Solve 14*p = -1800 + 1632 for p. -12 Solve 1206 = 9*k + 1152 for k. 6 Solve 0 = 12*i + 46 - 124 + 54 for i. 2 Solve -324 + 181 - 257 = -16*i for i. 25 Solve -745*f + 97*f = 106*f - 16588 for f. 22 Solve -167*n - 10930 + 7590 = 0 for n. -20 Solve 3675 = -329*q + 1372 for q. -7 Solve -3943 = 811*w + 8222 for w. -15 Solve -479*v + 193*v = -191*v - 1520 for v. 16 Solve -19735 = 1609*a - 1123 + 42530 for a. -38 Solve 6203*z = 6234*z + 62 for z. -2 Solve -256*q = -5*q - 7279 for q. 29 Solve -700*x + 162 = -619*x for x. 2 Solve 132*h + 667 + 243 = -146 for h. -8 Solve -284 = 51*k + 4*k + 16*k for k. -4 Solve 1378 = 70*l + 1308 for l. 1 Solve 234*x + 27 = 27 for x. 0 Solve -244*g - 11*g + 240 = -780 for g. 4 Solve 102 - 24 = -78*z for z. -1 Solve 3*b + 3304 = 3328 for b. 8 Solve 7*m + 42*m - 38*m = -242 for m. -22 Solve 0 = -115*s - 392 - 68 for s. -4 Solve 1471 + 161 = -48*z for z. -34 Solve 145*j + 110*j + 93*j + 6264 = 0 for j. -18 Solve 14*h = -37*h - 1568 + 293 for h. -25 Solve -89*q = 79*q + 840 for q. -5 Solve 14*l + 11*l = 300 for l. 12 Solve 7527 - 7681 = 22*i for i. -7 Solve 1141 - 1161 = 5*k for k. -4 Solve -208*d + 852 = 60*d - 5312 for d. 23 Solve -76*h + 169 + 59 = 0 for h. 3 Solve -496*i + 259*i + 2081 + 526 = 0 for i. 11 Solve -28*t - 13 + 185 = 648 for t. -17 Solve 755 = 97*b + 2*b - 136 for b. 9 Solve 141*p - 810 = 2944 + 476 for p. 30 Solve 72*s + 485 + 387 = 181*s for s. 8 Solve 7700 = 12700*m - 12920*m for m. -35 Solve 294*c = 322*c - 196 for c. 7 Solve 24 = -17*c + 42 - 86 for c. -4 Solve 389*z + 200 = 409*z for z. 10 Solve -331*u + 319*u + 150 = -246 for u. 33 Solve -5712 = -162*d - 7008 for d. -8 Solve -233*k - 429 = 1746 + 155 for k. -10 Solve -311*p + 615*p = 309*p + 75 for p. -15 Solve -45*q - 9*q = -8*q - 644 for q. 14 Solve 4248 = -2*i - 234*i for i. -18 Solve -238 = 221*g - 238 for g. 0 Solve -142*v + 3111 = 366 - 663 for v. 24 Solve 45*h = 661 + 419 for h. 24 Solve -189*y + 702 + 59 + 562 = 0 for y. 7 Solve -504 - 90 = -66*f for f. 9 Solve 6566*z = 6547*z + 57 for z. 3 Solve 22*f + 196 + 588 = -27*f for f. -16 Solve -630*z + 51 = -579*z for z. 1 Solve 0*f = 13*f + 515 - 593 for f. 6 Solve 150*b - 1029 = -44*b + 47*b for b. 7 Solve 175*q - 3003 = -56*q for q. 13 Solve -41861*g + 132 = -41839*g for g. 6 Solve 71*d - 24*d = 49 + 233 for d. 6 Solve 13 + 6 + 13 = -8*b for b. -4 Solve 84 = 3*f - 35*f - 76 for f. -5 Solve -114 = 29*l - 578 for l. 16 Solve -1362 = 40*q - 442 for q. -23 Solve -164*n + 126 = -122*n for n. 3 Solve 23*m - 83*m - 1380 = 0 for m. -23 Solve -636 = 45*f - 98*f for f. 12 Solve 136 = -11*a + 81 for a. -5 Solve 34*v = -35*v + 13*v + 56 for v. 1 Solve 67 = 22*x - 0 - 131 for x. 9 Solve -469*n + 460*n = 63 for n. -7 Solve -167*h + 189*h - 66 = 0 for h. 3 Solve 12*p - 8 = -86 - 18 for p. -8 Solve 11*c + 6*c + 42*c + 1475 = 0 for c. -25 Solve -340*p + 1100 = -157*p - 227*p for p. -25 Solve -161*g = 31*g + 960 for g. -5 Solve -328*j = -474*j - 386*j - 8512 for j. -16 Solve -78*s - 38*s - 46*s = 648 for s. -4 Solve 793*w + 2*w + 4659 = -2496 for w. -9 Solve 145 = 46*w - 75*w for w. -5 Solve -2528 + 8600 = -67*a - 197*a for a. -23 Solve 341*o - 277*o + 576 = 0 for o. -9 Solve 78*r - 110 + 611 = -435 for r. -12 Solve -1130*h = -649*h - 12506 for h. 26 Solve -114*k + 69 = -165*k - 33 for k. -2 Solve -209*x + 1602 + 2099 = -61 for x. 18 Solve 6*t - 62*t = 13*t + 690 for t. -10 Solve 33*b + 2394 = 11*b - 92*b for b. -21 Solve 72 - 107 = -35*o for o. 1 Solve 19*j = 44*j - 28*j - 36 for j. -12 Solve -105 = -71*z - 815 for z. -10 Solve 100 = -11*d - 32*d + 23*d for d. -5 Solve -40*r = -24*r + 18*r + 544 for r. -16 Solve -27*u + 29*u + 1 = -5 for u. -3 Solve 19*k = 6*k + 23 + 16 for k. 3 Solve 48*g - 6000 = -306*g - 21*g for g. 16 Solve -6*d - 10*d + 28 = -18*d for d. -14 Solve 2*g - 15*g + 17 = -35 for g. 4 Solve 0 = 12*y - 6*y + 9*y + 135 for y. -9 Solve -123*g - 99*g - 228 = -146*g for g. -3 Solve 23*a - 18*a + 23*a = -84 for a. -3 Solve -153*u + 4266 = 335*u - 5494 for u. 20 Solve 42*g - 79*g - 333 = 0 for g. -9 Solve 327*g + 9 = -5223 for g. -16 Solve 0 = -109*z + 96*z + 169 for z. 13 Solve 35*a - 15311 = -16221 for a. -26 Solve 174 = 71*t - 42*t for t. 6 Solve -12 = -557*u + 551*u for u. 2 Solve -62*w + 135 = -237 for w. 6 Solve -27*p - 1504 = 349*p for p. -4 Solve 2527 = 211*d - 162 + 368 for d. 11 Solve 65*w + 682 = -79*w - 326 for w. -7 Solve 190 = -59*v - 210*v - 1155 for v. -5 Solve 0 = -294*b + 169*b + 2625 for b. 21 Solve 9427 = 418*r + 330*r - 7777 for r. 23 Solve 40*j - 324 = 89 - 53 for j. 9 Solve 253*a - 313 + 591 = -987 for a. -5 Solve 68*m + 127 = 15*m + 710 for m. 11 Solve -67 = 58*x + 629 for x. -12 Solve 67662*t = 67691*t + 348 for t. -12 Solve -56*p = -17*p - 20*p - 10*p for p. 0 Solve -4554 = -1141*h + 635*h for h. 9 Solve 279 = 18*g + 171 for g. 6 Solve -7*u = -8*u + 229 - 214 for u. 15 Solve 362*w = 374*w - 108 for w. 9 Solve -366 = -43*i + 1029 - 191 for i. 28 Solve 0 = 28*x - 24*x + 53*x + 456 for x. -8 Solve -2*x + 12*x = -50 + 30 for x. -2 Solve 1326*l + 1296 = 1164*l for l. -8 Solve -151*i + 74*i - 615*i + 6228 = 0 for i. 9 Solve 25*u + 112 = 139 + 73 for u. 4 Solve 296*r + 1818 + 5286 = 0 for r. -24 Solve 2*r - r - 9 + 11 = 0 for r. -2 Solve -229*o + 81*o = -1628 for o. 11 Solve -1606 = 1975*d - 1829*d for d. -11 Solve 10*h = -19*h - 88*h + 1989 for h. 17 Solve 0 = -46*n + 31*n - 30 for n. -2 Solve -3522*y = -3577*y for y. 0 Solve -170*w + 1685 = 156*w + 11*w for w. 5 Solve -132 = 35*a - 23*a for a. -11 Solve 0 = 3*z - 164 + 116 for z. 16 Solve -1158*h + 1136*h = -132 for h. 6 Solve 22838*z = 22848*z + 320 for z. -32 Solve 14476 = 589*l + 1479*l for l. 7 Solve -229*c + 1539 + 2868 = 285 for c. 18 Solve -109*j + 1309 = 78*j for j. 7 Solve -21*p + 65 = 79 - 161 for p. 7 Solve 9*l = -25*l + 113 - 657 for l. -16 Solve -122*x + 2092 = 750 for x. 11 Solve -38*h + 10*h + 288 = -46*h for h. -16 Solve 507 = 2*c - 9*c + 234 for c. -39 Solve -100*v + 192*v = 101*v + 27 for v. -3 Solve -322*d = 661 + 1915 for d. -8 Solve 285 = -50*z - 107 - 358 for z. -15 Solve 1608*a + 560 = 1592*a for a. -35 Solve -655 - 497 = 96*v for v. -12 Solve 74*i - 1130 = -24*i - 15*i for i. 10 Solve 54*j = -404 - 428 - 410 for j. -23 Solve 25137*x = 25090*x - 141 for x. -3 Solve 17096 = -19*v + 17039 for v. -3 Solve 639*f + 295 - 895 = 678 for f. 2 Solve -133*c + 3013 = -2*c for c. 23 Solve 25909*k = 25962*k + 477 for k. -9 Solve 103680*t - 103759*t + 869 = 0 for t. 11 Solve 72*x = -6*x + 154 + 2 for x. 2 Solve -645*q + 628*q - 187 = 0 for q. -11 Solve 10236 = -883*a - 13605 for a. -27 Solve -497*q - 2288 = -7258 for q. 10 Solve -404 = -p - 381 for p. 23 Solve 82*x + 21*x + 665 = 47 for x. -6 Solve -78*q + 85*q = 106*q + 100*q for q. 0 Solve 112 = -259*t - 1440 - 520 for t. -8 Solve -2719*b + 1028 = -2789*b + 2918 for b. 27 Solve -15*l + 562 = -69*l - 842 for l. -26 Solve -1333 = 501*h - 4*h + 158 for h. -3 Solve 3377*s - 3357*s = -120 for s. -6 Solve -180 - 2277 = -351*m for m. 7 Solve 376*h + 4602 = -8558 for h. -35 Solve -68*q - 77*q = -154*q - 144 for q. -16 Solve -23*s - 2 = 5 - 30 for s. 1 Solve -128 = 22*a + 48 for a. -8 Solve -168*t + 141*t = 203*t + 920 for t. -4 Solve 16*a - 50 + 13 = 59 for a. 6 Solve 23*y - 40*y = 40*y + 228 for y. -4 Solve -599*n + 297*n = -277*n + 125 for n. -5 Solve 0 = -76*b + 58*b + 306 for b. 17 Solve 1353*c - 1235*c = -2006 for c. -17 Solve 206*b + 227*b - 982 = 2482 for b. 8 Solve 163*y = 77*y + 1118 for y. 13 Solve 25*b + 568 = -73*b - 608 for b. -12 Solve 61 + 1029 = -33*r + 251*r for r. 5 Solve -193*i = -5332 + 314 for i. 26 Solve -131 = 28*m - 71*m + 170 for m. 7 Solve 0 = 5*n - 8*n - 33*n + 432 for n. 12 Solve -47*l - 11354 + 10649 = 0 for l. -15 Solve 1417438*i + 323 = 1417421*i for i. -19 Solve 99*k - 1172 = -551*k + 64*k for k. 2 Solve 6*u = 45 + 6 + 21 for u. 12 Solve 329*o - 354*o - 223 + 23 = 0 for o. -8 Solve 4
{ "pile_set_name": "DM Mathematics" }
**2 - p Collect the terms in -28202*w**3 + 94128*w**3 - 2*w**2 + 0*w**2. 65926*w**3 - 2*w**2 Collect the terms in -8770010167253 + 8770010167253 - 4*p. -4*p Collect the terms in -303*m**2 + 14*m + 895*m**2 - 293*m**2 - 295*m**2 - 9*m. 4*m**2 + 5*m Collect the terms in -128*n + 29*n + 33*n + 19*n + 20*n + 26*n + 8*n**2. 8*n**2 - n Collect the terms in -4086516*q + 2 - 11*q**2 + 4086516*q. -11*q**2 + 2 Collect the terms in 2071*t + 168*t + 206*t - 2432*t. 13*t Collect the terms in 15*v**3 - 3*v**3 + 5746*v - 8*v**3 - 2*v**3. 2*v**3 + 5746*v Collect the terms in -32794*j + 26*j**2 - 197 - 28*j**2 + 197. -2*j**2 - 32794*j Collect the terms in 151937*m**3 - 117*m - 151935*m**3 + 13*m + 624*m. 2*m**3 + 520*m Collect the terms in -227*i**2 - 63*i**2 + 18546 - 8919 - 9627 + 33*i**2. -257*i**2 Collect the terms in 54698*u**2 + 2*u**3 + 55261*u**2 + 55262*u**2 - 165221*u**2. 2*u**3 Collect the terms in 1065*w**2 - 17*w - 529*w**2 - 527*w**2 + 348*w. 9*w**2 + 331*w Collect the terms in -2*o - 3*o - 23*o**2 - 19*o**2 - 18*o**2 + 78*o**2 - 7*o**2. 11*o**2 - 5*o Collect the terms in -651*l - 399*l - 400*l + 2125*l - 275*l - 399*l. l Collect the terms in -5*w**2 + 179 + 298*w - 362 + 205*w + 180. -5*w**2 + 503*w - 3 Collect the terms in -27341*y**3 - y**2 + 372*y**3 + 838*y**3 + y**2. -26131*y**3 Collect the terms in 160007*z - 3 - 4 + 2. 160007*z - 5 Collect the terms in 148*y - 192*y + 117*y - 84*y. -11*y Collect the terms in -7821 + 31054 - 7826 - 3*y - 7588 - 7819. -3*y Collect the terms in 941664098924*o - 941664098924*o + o**2. o**2 Collect the terms in -5726*i**2 + 6*i + 5726*i**2 - 4 - 226*i**3. -226*i**3 + 6*i - 4 Collect the terms in 0 + 2785*u**2 - 2984*u**2 + 1 + 31*u**3 - 1 + 199*u**2. 31*u**3 Collect the terms in -80596747*m**2 + 40298387*m**2 + 40298378*m**2. 18*m**2 Collect the terms in -441*h**2 - 687*h**2 + 11*h + 7*h - h. -1128*h**2 + 17*h Collect the terms in 308*z - 434*z**3 - 389*z + 116 + 436*z**3. 2*z**3 - 81*z + 116 Collect the terms in -3061189*z**3 - 3061210*z**3 + 6122384*z**3. -15*z**3 Collect the terms in -2*d**2 - 49*d**2 - 6*d**3 - 20*d**2. -6*d**3 - 71*d**2 Collect the terms in -37930 - 37926 - 37932 - i**2 + 113788. -i**2 Collect the terms in 7124*a - 7727*a + 571*a. -32*a Collect the terms in -650*l + 24 - 56 + 40 - 8. -650*l Collect the terms in -1786*o**2 - 1787*o**2 - 3*o**3 + 6991*o**2 - 1630*o**2 - 1788*o**2. -3*o**3 Collect the terms in -554*a**2 + 92*a**2 + 385*a**2 + 28 - 28. -77*a**2 Collect the terms in -1270*m - 155758470 + 155758470. -1270*m Collect the terms in -12457*a**2 - 12430*a**2 + 36760*a**2 - 13107*a**2. -1234*a**2 Collect the terms in -401*z**2 - 1718*z**2 + 2120*z**2. z**2 Collect the terms in 1193*u**2 + 1205*u**2 + 1221*u**2 - 4767*u**2 + 1286*u**2. 138*u**2 Collect the terms in -13*k**2 + 16*k**2 + 630 + 6*k**2. 9*k**2 + 630 Collect the terms in 14689 - 29371 - 30*r - 5*r + 5*r + 14682. -30*r Collect the terms in 3 + 2698*b - 2*b**3 - 2 - 3126*b. -2*b**3 - 428*b + 1 Collect the terms in y - 3*y**2 + 128*y**3 - 12*y**3 - 32*y**3 - 47*y**3 + 0*y. 37*y**3 - 3*y**2 + y Collect the terms in 51*i**3 - 4*i**2 - 208*i**3 + i**3 + 0*i**2 + 4*i**2. -156*i**3 Collect the terms in 13283 - 13273 + 65*f - 220*f - 22*f. -177*f + 10 Collect the terms in 46782*r - 9362*r - 9357*r - 9360*r - 9365*r - 9355*r. -17*r Collect the terms in -3 - 15*x**2 + 211629187*x + 3 + 5*x**2 - 211629187*x. -10*x**2 Collect the terms in -3453 + 3*o**3 + 1119 - 7*o**3 + 1117 + 1217. -4*o**3 Collect the terms in -638 + 638 - 5*p**2 + p**2 + 1509*p**3. 1509*p**3 - 4*p**2 Collect the terms in 484014 + 534*i**2 - 484014. 534*i**2 Collect the terms in -17*o + 20*o + 19*o - 13 - 45*o + 18*o. -5*o - 13 Collect the terms in -26 + 189*r**2 - 74 - 61*r**2. 128*r**2 - 100 Collect the terms in 3843 - 3843 - 1034069*g + 1034330*g. 261*g Collect the terms in 6 + 29655603472*g**3 - 29655603469*g**3 - 6 - 2*g. 3*g**3 - 2*g Collect the terms in -9*d - 227*d**3 - 1 + 1 - 672*d**3 - 128*d**3. -1027*d**3 - 9*d Collect the terms in 1128754314*l**3 - 2257508641*l**3 + 1128754330*l**3. 3*l**3 Collect the terms in 8 - 184 + 2*u + 10 + 135 + 0 + 31. 2*u Collect the terms in -281465081339357*z**2 - 2*z**3 + 281465081339357*z**2. -2*z**3 Collect the terms in -3929 - t + 3*t**2 + 3928 - 4*t**2 + 4*t**2. 3*t**2 - t - 1 Collect the terms in -83 + 1059*n**3 - 362*n**3 + 83 - 353*n**3 - 355*n**3. -11*n**3 Collect the terms in 62*n + 0*n**2 - 17*n + 20*n**2 + 62*n - 112*n. 20*n**2 - 5*n Collect the terms in 816*h**2 - 895*h**2 - 9 - 142. -79*h**2 - 151 Collect the terms in 1181*k - 2189 - 2234 - 20*k + 4423. 1161*k Collect the terms in 4100*g**3 - 2 - 3648*g**3 - 502*g**3. -50*g**3 - 2 Collect the terms in -10 + 3786*m**3 + 41 - 31. 3786*m**3 Collect the terms in 98*k + 101*k - 385*k + 85*k + 101*k + 1368*k**3. 1368*k**3 Collect the terms in 9064*t - 29138*t + 9618*t + 9797*t - 2. -659*t - 2 Collect the terms in -125 - 4*c - 97 - 58 - 102 + 122. -4*c - 260 Collect the terms in 16651 - 33278 - 4*a**3 + 16627 + 9*a**3 - 4*a**3. a**3 Collect the terms in 1 + 5767*g - 215*g**2 - 1 + 6296*g - 12063*g. -215*g**2 Collect the terms in 88*j**2 + 155*j**2 + 0*j - 299*j**2 + 196*j**2 + 0*j. 140*j**2 Collect the terms in -2690224*p + 8070681*p - 2690223*p - 2690242*p. -8*p Collect the terms in 7*g + 12 - 16 + 12 + 15 + 30 - 12. 7*g + 41 Collect the terms in 393*n**2 + 392*n**2 - 13*n**3 - 348*n**2 - 437*n**2. -13*n**3 Collect the terms in -14644*c**2 + 7485*c**2 + 7159*c**2 - 23*c**3. -23*c**3 Collect the terms in -1173*a - 8*a**3 - 38*a**3 - 1210*a + 2383*a. -46*a**3 Collect the terms in 1400 - 3154*n**3 + 1399 - 3010*n**3 - 2799. -6164*n**3 Collect the terms in 11293*g + 11293*g - 34587*g + 11270*g. -731*g Collect the terms in 1681*o**3 + 956*o**2 + 959*o**2 - 2870*o**2 - 469*o**3 + 955*o**2. 1212*o**3 Collect the terms in -171 - 360 - 177 + 631 + k + 77. k Collect the terms in -1751*v + v**2 + 9633*v + 8535*v. v**2 + 16417*v Collect the terms in 25*u - u**2 - 4 + 4 - 2 + 1 - 6*u. -u**2 + 19*u - 1 Collect the terms in -2*n - 9*n + 10*n + 3*n + 322*n**3 - 131*n**3. 191*n**3 + 2*n Collect the terms in 112*t**3 + 2090*t**3 + 504*t**3 + 1389*t**3 + 3*t**2 - 2*t**2. 4095*t**3 + t**2 Collect the terms in -164614 + 164614 - 623*a**2 + 221*a**2 + 322*a**2. -80*a**2 Collect the terms in 52810568*u + 952*u**2 - 52810568*u. 952*u**2 Collect the terms in 3260 + 7109*v - 2185*v - 3260. 4924*v Collect the terms in -365*i + 43*i**3 - 360*i - 236*i**2 + 725*i. 43*i**3 - 236*i**2 Collect the terms in -2 + 1403*x**2 - 1074*x**2 - 166*x**2 - 164*x**2 - 5. -x**2 - 7 Collect the terms in 5187808 - 3*v + v - 1636306. -2*v + 3551502 Collect the terms in -610*t - 871*t + 3307*t - 606*t - 610*t - 607*t. 3*t Collect the terms in 47*a**3 + 28324085*a**2 + 85*a**3 - 28324085*a**2 - 5*a. 132*a**3 - 5*a Collect the terms in 7*b + 2*b + 1174 - 2335 - 3*b + 1161. 6*b Collect the terms in 244763*j**2 - 200983*j**2 + 398896*j**2. 442676*j**2 Collect the terms in 4*n - 182 + 16*n + 3890 - 181 - 3527. 20*n Collect the terms in 7*m + 19*m + 11*m - 260 + 256 + 12*m**2 - 14*m**2. -2*m**2 + 37*m - 4 Collect the terms in 2*o**2 + 0*o**2 - 3844*o - 1063*o**3 + 3842*o. -1063*o**3 + 2*o**2 - 2*o Collect the terms in -10*u**2 + 3*u**3 - 1107*u + 13*u**2 - 108*u - 2*u**2. 3*u**3 + u**2 - 1215*u Collect the terms in 1208783*m**3 - 2417586*m**3 + 1208796*m**3. -7*m**3 Collect the terms in -2091 + 2091 - 1144*y**2 - 562*y**2 + y - y. -1706*y**2 Collect the terms in 336246159 - 336246159 - 8*i. -8*i Collect the terms in -3*b + 1530989 + 3*b - 179120*b**2 - 1531194 + 179122*b**2. 2*b**2 - 205 Collect the terms in 155688*r**3 - 535704*r**3 - 140062*r**3. -520078*r**3 Collect the terms in 67 + 0*c + 23 - c + 41 - 41. -c + 90 Collect the terms in -22661*d**2 + 7709*d**2 + 7443*d**2 + 7459*d**2. -50*d**2 Collect the terms in 31*n**3 - 30*n**3 + 0 - 1 + 170715*n. n**3 + 170715*n - 1 Collect the terms in 6*p + 1848924 - 1848813 - 3*p**3 + 6*p**3. 3*p**3 + 6*p + 111 Collect the terms in -155*a**2 - 5*a**3 - 350 - 363 + 713 - 3*a. -5*a**3 - 155*a**2 - 3*a Collect the terms in -15233 + 36788 + 31652 + 50655 - c. -c + 103862 Collect the terms in -2*g - 306*g**3 + 10*g - 28*g - 26*g + 63*g**3. -243*g**3 - 46*g Collect the terms in -5
{ "pile_set_name": "DM Mathematics" }
3 - 14*i**2 + i + 6. Give -q(w) + 6*u(w). w**3 + 20*w**2 - w Let i(x) = -3*x**2 - 5*x - 5. Let d(t) be the third derivative of -t**5/20 - t**4/4 - t**3 - 8*t**2. What is -5*d(v) + 6*i(v)? -3*v**2 Let t(u) = -u + 83. Let a be t(0). Let r = 57 - a. Let i(f) = -2*f**2 - 2. Let h(b) = -9*b**2 - 9. Calculate r*i(p) + 6*h(p). -2*p**2 - 2 Let t(a) = 4*a**2 + 8. Let q(u) = -5*u**2 - u - 9. What is -2*q(n) - 3*t(n)? -2*n**2 + 2*n - 6 Let c(u) = u**3 + u - 1. Let z(a) = -2*a**3 + a**2 - 5*a + 4. What is 4*c(m) + z(m)? 2*m**3 + m**2 - m Let i(j) = -4*j - 3. Suppose -13 = -3*s + 20. Let g(r) = -7*r - 6. Calculate s*i(h) - 6*g(h). -2*h + 3 Let s(h) = -2*h**2 - 2*h - 7. Let o(b) = -b**2 - 3*b - 7. What is 2*o(d) - 3*s(d)? 4*d**2 + 7 Let v(t) = t - 4. Let p(g) = -1. Let x(u) = u - 1. Let k(a) = -6*p(a) - x(a). What is 3*k(i) + 5*v(i)? 2*i + 1 Let h(s) = s**3 + s - 1. Let o(r) = 3*r**3 + 6*r. What is -6*h(z) + o(z)? -3*z**3 + 6 Let f(t) = -4*t - 4. Let g(o) = o + 1. Calculate 2*f(n) + 9*g(n). n + 1 Let w(p) = -5*p**3 - p. Let q(s) = -s**3. Suppose 5*f + 3 + 2 = 0. Let k = f + 5. What is k*q(u) - w(u)? u**3 + u Let v(f) = 2*f**3 - 3*f**2 - f. Let x(y) = 5*y**3 - 8*y**2 - 3*y. Let k(c) = 8*c - 8. Let j be k(6). Suppose 9*w + j = 4*w. Determine w*v(p) + 3*x(p). -p**3 - p Let t(q) = -8*q**3 + 2*q**2 - 7*q + 7. Let x(d) = -7*d**3 + 2*d**2 - 6*d + 6. Calculate 6*t(u) - 7*x(u). u**3 - 2*u**2 Let r(i) = 343*i**3 + 77*i**2 - 77. Let l(a) = 9*a**3 + 2*a**2 - 2. Calculate -77*l(t) + 2*r(t). -7*t**3 Let u(c) = 17*c + 11. Let k(t) = 6*t + 2. Let v(x) = 13*x + 4. Let g(h) = 14*k(h) - 6*v(h). Suppose 3*j = 5*j - 22. Determine j*g(q) - 4*u(q). -2*q Let r(u) = -7*u**2 - 4*u - 1. Let l(a) = -a**2 - a. Suppose -v + 2*v = -2*i - 7, 3*i = 3*v - 24. Give i*l(f) + r(f). -2*f**2 + f - 1 Let y(w) = w. Let c(z) = 17*z + 2. Give c(r) + 6*y(r). 23*r + 2 Let c(w) = 6*w**3 - 8*w**2 - 6*w - 8. Let y(f) = -f**3 - 15*f**2 - 16*f - 20. Let m be y(-14). Let j(u) = 4*u**3 - 5*u**2 - 4*u - 5. Give m*j(h) - 5*c(h). 2*h**3 - 2*h Let w(n) = 7*n**3 - 8*n**2 - 8. Suppose 0 = 6*f - 4*f + 10. Let x(g) = -g**3 + g**2 + 1. What is f*w(b) - 40*x(b)? 5*b**3 Let x(p) = -3*p**2 + p + 2. Let b(m) = 13*m**2 - 3*m - 9. What is 2*b(k) + 9*x(k)? -k**2 + 3*k Let r(z) = 2 - 1 + 0. Let a(g) = -5*g - 26. Let h be a(-5). Let n(s) = -s**2 - 4. What is h*n(q) - 2*r(q)? q**2 + 2 Let c(i) = 52*i - 5. Let h(m) = 26*m - 2. Give -3*c(o) + 7*h(o). 26*o + 1 Let y(x) = -3*x**2 - 5*x + 6. Let f(t) = -t. Calculate -4*f(p) + y(p). -3*p**2 - p + 6 Let v(c) be the second derivative of c**5/20 + 16*c. Let y(g) = -10*g**3. Calculate 6*v(l) + y(l). -4*l**3 Let w(y) = -6*y - 10. Let h(a) = 2*a + 3. Suppose 2*u - 5*o = -15, 0 = o + o + 2. Determine u*h(p) - 3*w(p). -2*p Let s(y) = -3 - 1 + 0*y + 5*y**2 + 2*y**2 + y. Suppose 3 + 9 = 3*c. Let g be (0 - -4)*(-5)/(-4). Let o(q) = -6*q**2 - q + 3. Calculate c*s(n) + g*o(n). -2*n**2 - n - 1 Let j(n) = -13*n + n + 22 - 4 + 21*n**2 - 6*n. Let o(w) = w**2 - w + 1. Determine j(z) - 18*o(z). 3*z**2 Let t(w) = 4*w**3 + 4*w**2. Let c(b) = -5*b**2 - b**3 - 4*b**2 + 3*b**2 + 5*b**2. What is 6*c(i) + t(i)? -2*i**3 - 2*i**2 Let k(i) = i**2 - i + 4. Let a(r) = 1. Suppose 0*z - 20 = -4*z. Suppose -z + 35 = -5*c. Give c*a(p) + 2*k(p). 2*p**2 - 2*p + 2 Let o(y) = 0*y**2 - 1 + 2*y**2 - y**3 - y**2. Let p be 4/4*-3 + 5. Let z(j) = j**2 - 1. Give p*o(t) - 2*z(t). -2*t**3 Let t(r) = -2*r + 13. Let l(j) = -2*j + 14. Give 4*l(h) - 5*t(h). 2*h - 9 Let u(f) be the second derivative of -f**5/10 + 11*f**4/12 + 11*f**3/6 + 2*f**2 - 40*f. Let h(g) = -g**3 + 6*g**2 + 6*g + 2. Calculate 11*h(y) - 6*u(y). y**3 - 2 Let a(d) be the first derivative of 7*d**2 - 14*d + 11. Let u(x) = -35*x + 55. Let l(f) = -5*f + 8. Let w(b) = 20*l(b) - 3*u(b). What is -6*a(v) + 17*w(v)? v - 1 Let q(o) = -o**2 + o + 1. Let n(h) = 3*h**2 + 3*h + 3. Give n(a) - 3*q(a). 6*a**2 Let x(a) = 2*a**2 - 7*a + 11. Let q(f) = -f**2 + 3*f - 5. Calculate 7*q(i) + 3*x(i). -i**2 - 2 Let c(v) = v**2 - v + 1. Let t(a) = a**2 + 3*a + 2. Let m be t(-3). Let h = m + -4. Let f(p) = 10*p**2 - 9*p + 9. Calculate h*f(j) + 18*c(j). -2*j**2 Let o(k) be the first derivative of -7*k**2/2 - k - 1. Let m(r) = -20*r - 3. Suppose 3*s + 2*n + 53 = 0, -80 = 5*s - 0*s - 5*n. What is s*o(p) + 6*m(p)? -p - 1 Let g(j) = -j - 7*j + 6 + 3*j. Let u(r) = -9*r + 11. Calculate 11*g(c) - 6*u(c). -c Let v(s) = -2*s**2 + 6*s + 3. Let o(l) = -l + 1. Determine -2*o(h) + v(h). -2*h**2 + 8*h + 1 Let k(z) = 30*z + 27. Let c(s) = s + 1. Calculate 54*c(o) - 2*k(o). -6*o Let v(x) be the second derivative of x**2/2 - x. Let f(b) be the second derivative of b**3/6 - 17*b. Determine -2*f(o) - v(o). -2*o - 1 Let n(a) = -5*a**3 - 2*a**2 + 4*a + 3. Let b(r) = -r**2 + r + 1. Determine -4*b(m) + n(m). -5*m**3 + 2*m**2 - 1 Let p(x) = -x. Let m(l) = l. Let w be 1 + 2 + -2 + 8. Suppose -5*j + 11 = -w. Determine j*m(b) + 5*p(b). -b Let t(k) = 1. Suppose -4*d = 1 + 19. Let h(c) = 9*c + 1. Let a(y) = -4*y. Let n(z) = d*a(z) - 2*h(z). What is n(r) + 4*t(r)? 2*r + 2 Let y(h) = 53. Let f(j) = -33. Let g(m) = 8*f(m) + 5*y(m). Suppose 4*x = -4*v - 28, -7*v = -2*v + 20. Let b = 4 + x. Let c(a) = 2*a + 4. Give b*c(w) - 4*g(w). 2*w Let n(a) = 6*a**3 - 8*a - 17. Let b(p) = -10*p**3 + 2*p**3 + 6*p**3 + 3*p + 6. Let u(q) = -4 - 5*q + 1 + 2. Let j be u(-1). Give j*n(i) + 11*b(i). 2*i**3 + i - 2 Let k(m) = -67*m**3 + 13*m**2 - 13*m. Let r(o) = 33*o**3 - 6*o**2 + 6*o. Give 6*k(f) + 13*r(f). 27*f**3 Let u(h) = -7*h**2 - 6*h + 1. Let z(l) = -20*l**2 - 17*l + 2. Let t(a) = 17*u(a) - 6*z(a). Let c(x) = -1. What is 15*c(y) + 3*t(y)? 3*y**2 Let v(i) = 11*i + 11. Let y(z) = -2*z - 6 + 1 - 3*z. Suppose -5*n + 290 = -5*m, 3*n = -m - n - 38. Let a be ((-4)/12)/(2/m). Determine a*y(t) + 4*v(t). -t - 1 Let w(u) = 14*u. Let f(s) = -13*s. Determine 7*f(r) + 6*w(r). -7*r Let v(a) = -3*a**2 - 15*a - 21. Let n(y) = y**2 + 4*y. Let k(t) = -9*n(t) - v(t). Let u(c) = c**2 + 4*c - 4. Suppose 4 + 29 = -3*l. Determine l*u(i) - 2*k(i). i**2 - 2*i + 2 Let k = 18 - 10. Let x(n) = -6*n + 2. Let v = 5 + -4. Let r(i) = i. Give k*r(c) + v*x(c). 2*c + 2 Let m(t) = 2*t + 4. Let o(l) = -3*l - 7. Let y(r) = -5*m(r) - 3*o(r). Let p(s) be the second derivative of 4*s**3/3 - 3*s**2 - 12*s. What is p(b) + 6*y(b)? 2*b Let t = -21 - -35. Let i(j) = -5*j**3 + 7*j**2 - 2*j - 7. Let c(w) = -4*w**2 + 25*w - 3 - 2*w**3 - 26*w + 7*w**2. Calculate t*c(s) - 6*i(s). 2*s**3 - 2*s Let w(h) = -18*h - 2. Let y(r) = 6*r + 1. What is -3*w(j) - 8*y(j)? 6*j - 2 Let p(o) = -o**3 - o + 1. Let z = -5 - 1. Let h(r) = r**3 + r. Let j(x) = 11*x**3 + 2*x**2 + 11*x - 6. Let q(m) = 6*h(m) - j(m). What is z*p(f) + q(f)? f**3 - 2*f**2 + f Let q(h) = -3 + 6*h + 5 - 5*h. Let r(j) = 3*j + 5. Let c be (-4)/6 + (-16)/12. What is c*r(l) + 5*q(l)? -l Let g(t) = 5*t + 3. Let p(s) = -36*s - 20. Give -40*g(y) - 6*p(y). 16*y Let z be 1*3 + (-30)/(-10). Let x(p) = -7*p**3 - 4*p**2 - 11*p. Let u(d) = -2*d**3 - d**2 - 3*d. Calculate z*x(o) - 22*u(o). 2*o**3 - 2*o**2 Let n(i) = i - i - 5*i + i. Let g(r) = 3*r. Let q(s) = -2*s. Let j(a) = -3*g(a) - 5*q(a). Give -7*j(b) - 2*n(b). b Suppose -u + 2*u = 2. Suppose m - 24 = -m - 4*g, -6 = u*m - 2*g. Let i(w) = w**2. Let y(d) = 1. Determine m*i(o) - y(o). 2*o**2 - 1 Let a(t) = 12*t**2 + 3. Let y(h) = -60*h**2 - 16. Let u(z) = 16*a(z) + 3*y(z). Let c(j) = -j**2. Give -20*c(i) - 2*u(i). -4*i**2 Let q(b) be the second derivative of b**4/6 - 7*b**2/2 - b. Let f = 10 - 9. Let l(v) = -f - 2*v**2 + 0*v**2 + 7. Calculate -7*l(t) - 6*q(t). 2*t**2 Let n(q) = 7*q**3 - q**2 - 6*q. Let k(f) = -2*f**2 - f + 1. Let b(v) = -v**3 - 6*v**2 - 2*v + 3. Let y(w) = b(w) - 3*k(w). What is n(g) + 6*y(g)? g**3 - g**2 Let s = 53 - 56. Let l(m) be the first derivative of m**3/3 + 3*m - 3. Let p(n) = -1. What is s*p(x) - l(x)? -x**2 Let k(w) = -w. Let v(r) be the first derivative of -r**2/2 + 2. Calculate k(l) + v(l). -2*l Suppose 0 = -0*n - 5*n + 15. Suppose -1 = n*p + 3*t - 4*t, p - 4*t + 15 = 0. Let i(r) = r**2 + r. Let f(v) = -6*v**2 - 6*v - 1. What is p*f(z) + 4*i(z)? -2*z**2 - 2*z - 1 Let k(d) = 10*d - 6. Let o(i) = 5*i - 3. Calculate 2*k(y) - 5*o(y). -5*y + 3 Let v(a) = -a**2. Let t(r) = -2*r**2. Suppose d = -3*d - 12. Determine d*v(h) + 2*t(h). -h**2 Let g(q) = 6*q**3 + 3*q**2 -
{ "pile_set_name": "DM Mathematics" }
ng p is positive. p**(-186867/55) Simplify ((l**(-2/13)/l**0)**45)**(-9) assuming l is positive. l**(810/13) Simplify ((u*u/(u/u**(-1/6))*u)/u*u/u**(-3/7)*(u**(-1/7)/u)/((((u/u**12)/u)/u*u)/u))**(3/10) assuming u is positive. u**(593/140) Simplify (((m**(-3)*m)/m)/m)**(3/7)/(m*m**0)**11 assuming m is positive. m**(-89/7) Simplify (d*d**(-14))**38/(d**(-1/2))**(-10/3) assuming d is positive. d**(-1487/3) Simplify (p*p**(-1/2)*p*p/((p*p**(-1/3)*p*p)/p*p)*p*p)/(p/((p*(p*p*p/(p**(-10)/p)*p)/p)/p)*p*p**(-7)) assuming p is positive. p**(125/6) Simplify ((a**(-1/9)/(a**(1/7)*a))**(9/4))**(-40/3) assuming a is positive. a**(790/21) Simplify ((s/s**(2/35)*s*s*s*s)/s**(4/3))/(s*(s*s*s*s*s**(-1/8)*s)/s)**(2/107) assuming s is positive. s**(158117/44940) Simplify (f**2)**(11/3)*(f*(f/f**2*f*f)/f)**(2/15) assuming f is positive. f**(112/15) Simplify ((i**17*i*i)/i)/(i**(7/5)*i)*(i*i**4*i)**(4/13) assuming i is positive. i**(1134/65) Simplify ((i**(-23))**2)**(-38) assuming i is positive. i**1748 Simplify (y**13*y*y**(-3/4))/(y**4/(y/y**(-2/5))) assuming y is positive. y**(213/20) Simplify ((o**(3/2)/(o**0/o))/((o*o*o/(o*(o/(o/o**(-2/5)))/o)*o)/o)**(1/34))**(14/9) assuming o is positive. o**(56/15) Simplify ((a/(a**(-14)*a)*a)/(a*(a/a**(-1/7))/a))/((a*a*a**(2/7)*a)/a)**(-8/9) assuming a is positive. a**(143/9) Simplify ((((p**(3/8)*p)/p)/(p**(-3)/p))/(p/(p/((p**(-2)*p)/p))*p**(-4)))**(1/22) assuming p is positive. p**(83/176) Simplify ((y/((y*y*y/(y*y/y**(6/7)))/y*y)*y**(5/8)*y)**(8/3))**(7/4) assuming y is positive. y**(43/12) Simplify (y*((y/y**2)/y)/y*y/y**8)/(y**(-2/23)*y*y**(-7)/y) assuming y is positive. y**(-44/23) Simplify ((m*m**(-5))/m**(3/8)*m**(-3)/m**(-1/11))**(-20) assuming m is positive. m**(3205/22) Simplify h**(-10)/h*h**(-10)*h**(-5)*h**8 assuming h is positive. h**(-18) Simplify l**11/((l**4/l)/l)*l**(1/7)*l/(l*(l/(l*l/l**(4/17)))/l) assuming l is positive. l**(1298/119) Simplify s**32*s/s**(-1)*(s/s**(-5))**(-34/7) assuming s is positive. s**(34/7) Simplify b/(b**(-5/3)/b)*b*b**(-29)*b*(b**(-7/5)*b*b)/b*b*(b/(b*((b**(7/9)/b)/b)/b))/b assuming b is positive. b**(-968/45) Simplify (u**13)**22*(u**(-3))**(-1/6) assuming u is positive. u**(573/2) Simplify ((a*a/a**1)/a)**36*(a**4)**(-6/5) assuming a is positive. a**(-24/5) Simplify ((z**(-1)*z/(z/z**8)*z)**(2/9))**(-1/2) assuming z is positive. z**(-8/9) Simplify (s*(s*s**(1/23))/s*s)/s*s/s**6*((((s*(s*s*s/(s/(s**(-4/7)/s)))/s*s*s)/s)/s*s*s*s)/s)/(s*s**6/s) assuming s is positive. s**(-1212/161) Simplify g**(-1/13)*g**(16/3)/g*g**(-17)/(g**(4/13)/g) assuming g is positive. g**(-470/39) Simplify (((a*a*a**(-2)/a)/(a/(a**(-3/4)/a)))/((a/((a**(-3/2)/a*a*a)/a*a))/a**(-2/13)))**(-7/4) assuming a is positive. a**(1967/208) Simplify (i/(i**7/i)*i)**(-15/8)/(i*i*i*i*i/(i*i/i**(-2/11))*i)**(-38) assuming i is positive. i**(3357/22) Simplify ((h**4/h)/h)/(h**(4/3)/h)*(h*h*h**(2/13)*h*h)/(h*(h*(h**10*h)/h*h)/h) assuming h is positive. h**(-241/39) Simplify ((l**(-1/10)*l)/l)/(l*l*((l**(-31)/l)/l*l)/l*l)*(l**(9/8))**(-4) assuming l is positive. l**(127/5) Simplify (t**13*t**(7/4))/(t**(-2))**(-44) assuming t is positive. t**(-293/4) Simplify ((t*t*t**(-8)*t/(t*t*(t/(t*t**8*t*t))/t*t))**(-21/2))**25 assuming t is positive. t**(-1575/2) Simplify (y*(y**(-36)*y)/y)/y*y**5*(y**(-13)*y)/(y*y**(-36)) assuming y is positive. y**(-8) Simplify k**(-3/7)*k*k*k*k/(k*k**11)*k*k**(-3)*k**(-1)*k assuming k is positive. k**(-73/7) Simplify (((a/(a*a/(a*a*a**(-19))))/((a/((((a*a*a/a**(-7))/a*a)/a)/a))/a))**(-9))**(2/3) assuming a is positive. a**60 Simplify (j/(j**19*j))**(-9)/(j**(-1/9)*j**(-29)) assuming j is positive. j**(1801/9) Simplify m/(m/m**17)*m*m**13*m**3/m**(-1/6) assuming m is positive. m**(205/6) Simplify ((z**0)**(-12)*z**1*z**(3/7))**19 assuming z is positive. z**(190/7) Simplify ((((k*k/(k/(k/k**(3/2))))/k)/(k*k**(2/7)))**(-6))**18 assuming k is positive. k**(1350/7) Simplify a/(a*a/(a/a**4))*a*a*a**(9/2)*(a/a**(1/10))/a**(-11) assuming a is positive. a**(72/5) Simplify (w**(-2/7)/w**(-4/7))/((w**2/w)/(w/w**(1/3))) assuming w is positive. w**(-1/21) Simplify (v*v*v**8*v**(-6/11)*v)/(v*v*v/(v/(v**1/v*v))*v*v)**(-2/13) assuming v is positive. v**(1605/143) Simplify (u/(u/(u**(-18)/u))*u*u**11*u)/((u/u**31*u)/u**(-1/32)) assuming u is positive. u**(735/32) Simplify (((d*d**13/d)/d)/d**(-11))/(d**9)**(-18) assuming d is positive. d**185 Simplify (s/(s/(s/s**(2/13))))/s**(-5/6)*(s**(2/29))**(-34) assuming s is positive. s**(-1505/2262) Simplify (r*r/(r/r**(-1))*r**18)/(r**(-13)*r**(-1)) assuming r is positive. r**32 Simplify (y**(4/11)*y)/(y*y/((y**10/y)/y)*y*y)*(y**(3/11)*y)/(y*y**(7/2)*y) assuming y is positive. y**(25/22) Simplify (m/((m**(-2)/m)/m))**(-5)*(m*m**6)/m**(-14) assuming m is positive. m**(-4) Simplify (m/(m*m/m**(-5)*m*m))**(-3/53)*m**(-18)*m*((m/m**(-17))/m)/m*m assuming m is positive. m**(24/53) Simplify ((i*i**(-1/5)*i**3)/((i/(i*i**(-4)*i))/i**(4/11)))**(-1/13) assuming i is positive. i**(-64/715) Simplify (m**(2/13)/(m/(m**11/m)))/(m**(6/11)/(m/m**(-3/4))) assuming m is positive. m**(5925/572) Simplify ((q**(-2/9)/q**(2/7))/((q*q**(-2)*q*q*q*q)/(q**(-2)/q)))**(-2/33) assuming q is positive. q**(820/2079) Simplify (((a*a*(a*a**(3/2)/a)/a*a)/(a**8/a))/((a/(a*a*a**(-5)))/a*a*a**(1/13)))**(-15) assuming a is positive. a**(2955/26) Simplify z**(-10/9)/z**(-9)*(z**(2/5))**(-34) assuming z is positive. z**(-257/45) Simplify ((n**7*(n**(-10)*n)/n)**49)**(2/25) assuming n is positive. n**(-294/25) Simplify (w**(-6/7)*w**19/w)/((w**18/w)/(w*w*w**9*w)) assuming w is positive. w**(85/7) Simplify ((z**(-3/7)/(z*z/z**(2/15)*z))/(z**(-9)/(z*z**(-2))))**45 assuming z is positive. z**(1482/7) Simplify (((f**(-1)/f*f*f)**(-19/5))**(-2/15))**11 assuming f is positive. 1 Simplify ((c**(-9)*c*c)/(c/c**27))**(-2/3) assuming c is positive. c**(-38/3) Simplify (u**(-2/5)/((((u/u**2)/u)/u)/u)*(u*u*u**(-2/51)/u*u)/(u*(u*u**(2/7)*u*u)/u))**50 assuming u is positive. u**(40610/357) Simplify (n*n/(n/n**(3/2))*n/(n*n**(-8)))/(n**2/n)**(-13/6) assuming n is positive. n**(38/3) Simplify ((z*z*z/(z/(z**0*z)))/z*z*z)**1/(z**(1/6)/(z/(z*z*z**(7/2)))) assuming z is positive. z**(-2/3) Simplify ((((m**5*m)/m*m)/(m**(9/4)*m))**(5/2))**(-48) assuming m is positive. m**(-330) Simplify (q*q*q/((((q*q**(1/5)/q)/q)/q)/q)*q**13)**(-2/13) assuming q is positive. q**(-188/65) Simplify (g**16)**(-1/10)/(g**(-20)*g/(g/(g*g*g*g/((g*g**(17/4)/g)/g*g)))) assuming g is positive. g**(373/20) Simplify (c**(4/5))**(1/2)*c*c**(-1)/c*c*c**(-7) assuming c is positive. c**(-33/5) Simplify ((g/g**(-3/7))/(g*g*g**(3/13)/g))/(g**7*g**(-2/37)) assuming g is positive. g**(-22721/3367) Simplify (y**(-1/2)/y)**45/((y*y*y**8*y)/(y*y/(y*y**9*y))) assuming y is positive. y**(-175/2) Simplify f**(2/19)*f**(-26)*f/(f*f/(f*f*f/f**(-8/11)*f*f*f)*f)*f*f**(-3/2) assuming f is positive. f**(-9057/418) Simplify u*(u*u/u**(-7/3))/u*u**(-5)*(u**(2/3))**(-46) assuming u is positive. u**(-94/3) Simplify d**(-19)/d**(1/12)*d*d**(6/17)*(d/(d/d**(1/7)))/d assuming d is positive. d**(-26543/1428) Simplify ((k/k**(1/6))**34)**(-26) assuming k is positive. k**(-2210/3) Simplify (d**(3/4)/(d/d**6))/((d*(d/(d*d/(d*d**16*d*d)))/d)/(d/(d*d**(-3)))) assuming d is positive. d**(-37/4) Simplify (v/(v/(v*v*(v*(v**5*v)/v*v)/v*v))*v*v/((v/(v*v**(-2/53)/v)*v)/v))/(v**(-1/16)/v*v*v*v*(((v**(3/22)/v*v)/v)/v)/v*v) assuming v is positive. v**(92239/9328) Simplify (((k*(k**(4/9)/k*k)/k*k)/k)**(3/31))**34 assuming k is positive. k**(136/93) Simplify (q*q/((q*q**3*q)/q)*q**(-8/5))/(q*q*q*q/(q*(q/(q**26/q))/q)*q*q*q**(-16/9)) assuming q is positive. q**(-1432/45) Simplify (w*w**(-8))**(-20)/((w*w/w**(6/7)*w)/w)**12 assuming w is positive. w**(884/7) Simplify (f*f*f**1)**(4/9)*(f*f*(f**(-3/10)/f)/f*f)/f*f/(f*f**13) assuming f is positive. f**(-359/30) Simplify g*g**(3/19)*g/(g*g**6)*(g**(-2/5))**(-1/16) assuming g is positive. g**(-3661/760) Simplify (j**(-27)*j*j**(-2/61))**(1/9) assuming j is positive. j**(-1588/549) Simplify (a**11)**(-1/14)/(a/a**(-3/4)*a*a*a**(5/12)) assuming a is positive. a**(-104/21) Simplify (m**(1/3))**(1/12)/((m*m/(m*m**(-3/11))*m)/(m**2/m)) assuming m is positive. m**(-493/396) Simplify (f*f**0/f)**(1/3)*f/(f/f**12)*f*f/(f*f**(2/15)) assuming f is positive.
{ "pile_set_name": "DM Mathematics" }
.1 - -27428. Is -55.7 at most z? True Let x = 859039/279 - 3079. Let b = 659/1116 + x. Let v = -131 + 131. Which is smaller: b or v? v Suppose -60 = -5*n + 5*k, -38 = -4*n - 0*n + 2*k. Let q be (0 - 0)/(17 + -19). Suppose 3*t - n + 28 = q. Is t equal to -5? False Let b = 137.1 - 133. Let x = b + 103.9. Is x greater than or equal to -1? True Let k = -0.1 + 0.5. Let h = -0.72965 + 0.80965. Which is smaller: h or k? h Let z = 121.44 + -65.15. Let y = z + -56. Let r = -1.29 + y. Is r less than -12? False Let a be (120/105)/((-4)/(-14)). Let c be ((-11)/a)/(25/(-4700)). Let z be 20/(-110) - (-72)/c. Is -1 > z? False Let w(o) = 37*o**3 - 3*o**2 + 5*o - 53. Let t be w(5). Is t less than 4522? False Suppose -2*n - 3*h = 16, 0 = n + 3*h - 1 + 3. Let p be 5/25 + 32/(-10). Let l = -17 - p. Is l bigger than n? False Suppose 8*t + 0 = -8. Let u be -2*15/20 - t. Which is smaller: 2.4 or u? u Suppose 16 = -4*l + 8*l. Suppose -x - 27 = -l*x. Suppose x = -2*u + p, 0 = -6*u + u - 2*p. Do u and 0 have the same value? False Let z = 13 - 9.4. Let b = -2.6 + z. Suppose -10*j + 11*j = -6. Which is smaller: j or b? j Let u = -370517/41002 + 235/26. Which is smaller: 0 or u? 0 Let w(j) = -j - 1. Let x be w(-8). Let y be 5 - 1 - (-4 + x). Let r be -5 + 4 + y*2. Which is smaller: -2/139 or r? -2/139 Suppose 165*u - 72*u - 372 = 0. Are u and 4 non-equal? False Let j = 322 + -524. Let b = j - -203. Which is bigger: b or -150? b Let d be (2 - 2)/(1*4/(-2)). Suppose -60*r + 6 = -61*r. Which is smaller: d or r? r Let x be 249/2*(-5 - 119/(-21)). Let j = 111 - x. Suppose 23*n = j*n + 280. Which is greater: -55 or n? -55 Suppose -13*w + 115 = -1991. Let u = w - 209. Which is greater: -46 or u? -46 Let u be ((-5)/(-28))/(2/(-12)). Suppose h = -k + 2*h - 11, k = -5*h + 49. Which is smaller: k or u? u Suppose -4*i + 2*p + 0*p = -32, 0 = p + 2. Let k be 8/48*(i - 5). Is -20 >= k? False Suppose -279*w - 386 = -281*w. Let u = 220 - w. Which is smaller: 28 or u? u Suppose -38*h - 251*h = 27*h - 39*h. Is -2/3027 greater than h? False Let z be (-116)/40 - (0/3 - 0). Let x = 46/15 + z. Let k = -163/413 - 2/59. Which is bigger: k or x? x Let l = 36785 - 36784. Are l and 14/31 equal? False Let r(i) = -6*i - 46. Let x be r(-7). Let n be (424/(-360) - x/(-18)) + -2. Which is bigger: -4 or n? n Let b = 2018.96 - 1942. Let o = -77 + b. Is o at least -17? True Suppose -28 = 2*s + s - q, 0 = -4*s + 3*q - 34. Let f be (s/(-6))/((-7)/(-21)). Let n be (-10)/f - -22*(2 - 1). Is n equal to 21? False Let k = -1/1140 - 5683/19380. Let i = 45/136 - k. Let l(h) = h**2 - 2*h + 1. Let b be l(2). Does i = b? False Let n be 18/1 - (1 - 2). Suppose 0 = 6*m - 685 + 43. Let q = 124 - m. Which is bigger: q or n? n Let i = 218 + -232. Let a be (-14)/21 + (-21)/(-18). Which is smaller: a or i? i Let l be (-9)/((-126)/4) - (-386)/(-1302). Let m = 286.6 - 286.6. Which is bigger: l or m? m Let l = 0.3245 + -0.2945. Let t = -19.7 - -18. Is t less than l? True Let v = 68 + -62. Let y be v/(60/25)*(-1)/(-5). Let r be 5/10 - 3/(-2). Does r = y? False Suppose 0 = -5*g - 39*g - 19 - 3633. Is -67 not equal to g? True Let m be 3/(-24) - 1375/(-2200). Which is smaller: m or -1/1325? -1/1325 Suppose -2*c - 2*c + 160 = 0. Suppose r - 6 = -2*x, 41*r - 4*x - 124 = 39*r. Is r at most as big as c? True Let m = -8804 + 8804.2. Let p = -1153 - -56499/49. Which is smaller: p or m? p Let v(n) = 8*n + 91. Let o(j) = 5*j + 47. Let x(f) = 5*o(f) - 3*v(f). Suppose 56 = r + 3*r. Let w be x(r). Is -23 at least as big as w? True Let k = -31 + 53. Let t(b) = b**3 + 5*b**2 - 9*b - 32. Suppose 0 = 5*w - 9*y + 8*y + 15, 0 = -4*y - 20. Let m be t(w). Are m and k equal? False Let d = 0.12 + -0.72. Let i = d + 0.9. Let a = 23.61 + -18.61. Is a >= i? True Let z = 9 + -8.712. Let k = z + -0.488. Is -18/23 <= k? True Let s be 1/((-2639)/(-350) + -8). Let a(r) = 3*r - 24. Let p be a(7). Is s bigger than p? True Suppose 0 = 6*i + 4269 + 4707. Let b be 1/(22/(-6))*i/(-132). Which is smaller: b or -3? b Let s = -2/323 - 104/87533. Let h = -1891/813 + s. Which is smaller: h or -0.7? h Let c = 2165 + -2169.2. Do -2 and c have the same value? False Let l = -2 + 0. Let d(r) = 21*r - 1 - 26*r - 7. Let j be d(l). Is j at least as big as 2? True Let k = -38 - -74. Let v be ((-12)/8)/(-4 - (-141)/k). Which is bigger: v or 22? 22 Let y(f) = f**3 + 454. Let n be y(0). Let u(z) = -830*z + 124123. Let t be u(149). Which is greater: n or t? n Suppose 59*v = 61*v - 3*b - 147, -5*v + b = -348. Are 62 and v nonequal? True Let v = 6.8 + 2.2. Let u(q) = -q**2 - 6*q + 30. Let c be u(-9). Let z(s) = 2*s**2 - 7*s + 2. Let i be z(c). Which is smaller: i or v? i Let p = -105591/5 + 21099. Let q be -1 - (-2 + (-21)/(-1)). Which is greater: p or q? p Let o(i) be the first derivative of -i**3/3 - 6*i**2 + 3*i - 4. Let v be o(-7). Is v < 37? False Let y be (-133)/(-21) - 1/3 - 3. Suppose 2*b - 32 = -5*k, -k - 8*b + 11 = -y*b. Suppose t - 5 = -l, 4*l + t - 3*t = -10. Is k <= l? False Suppose -7*d = -2*d + 105. Let b(v) = -v**3 - 6*v**2 + v + 7. Let z be b(-3). Is z at most as big as d? True Let f = -706.7 + 700. Let m be ((-6)/10)/((-18)/20). Is m less than or equal to f? False Let z be (-1*43)/(-1) + (-44)/(-11). Suppose z = 19*m - 29. Is m at least 4/9? True Let w(y) = 2*y**2 - 32*y + 30. Let c be w(15). Suppose 4*f + f - 90 = c. Suppose -2*z - f = -16. Is z at most -25? False Let z be (-162)/135*2/3*-380. Let v = z + -305. Let t be 5/20 + (-45)/148. Is v <= t? True Let y = 175.643 - 176. Let x = y + -47.343. Which is smaller: x or 0? x Let v = 11.8 + -12.1. Let w = v + -18.7. Let o = w - -15.7. Is o less than or equal to -1/2? True Let i(f) = 1575*f**3 - 2*f**2 + 8*f - 4. Let o be i(1). Is o <= 1581? True Suppose -2*i - 4*c + 142 = 0, 0*c = -c - 1. Suppose -i*s - 627 = -70*s. Does -208 = s? False Suppose -742 = -8*t + 601 - 503. Which is smaller: 135 or t? t Suppose 15*k = -40 - 50. Let a be -3 + (k - (-7 - (1 - 3))). Which is bigger: -7 or a? a Let o be 7/((-42)/(-1998)) - -1. Let n = o - 2342/7. Suppose -15 = 3*x - 3*g - 0, 4*g = 5*x + 21. Which is smaller: x or n? x Suppose -194*n = -171*n - 23. Is 10/9 equal to n? False Let m(w) = -w**2 + 21*w + 24. Let x be m(22). Let y be (-4)/(-8) + x/(-4). Which is smaller: y or -1/102? -1/102 Let x(h) = 7*h**2 + 10*h + 53. Let z be x(-4). Let i = -185 + 308. Is z greater than or equal to i? True Let w = 19826 - 19423. Which is smaller: w or 393? 393 Let w = -16.27 + -717.73. Let p = w - -700.7. Which is bigger: 2/5 or p? 2/5 Suppose f + 324 = 3*z, 3*z + 20*f - 327 = 22*f. Suppose -5*a = -c + 108, -10*c = -9*c - 4*a - z. Is 104 at least c? True Let h(t) = 2*t**3 - 2*t**2 + 12*t + 9. Let y be h(4). Let w = -147 + y. Is 9 bigger than w? True Let c(g) = -g**2 - 19*g - 24. Let z be c(-12). Suppose z = -u + 5*u. Let y be (52/u)/13*1*10. Which is bigger: y or 4? 4 Let g be (-3)/(((-2)/(-21))/(12/(-9))). Let x = g - -38. Is 78 smaller than x? True Let c = 13 - 30. Suppose 8*w = 46*w + 722. Is c <= w? False Suppose 2*u + 3 = -3*p, -2*p - 6*u - 27 = -11. Is p < 9/1883? False Let g = 2 - 3. Let z(r) = -r**3 + 47*r**2 + 162*r - 601. Let o be z(50). Are g and o equal? True Let l = 155/34 - 6101/1122. Let n = l + 17/11. Are n and 3/11 unequal? True Let p(b) = 17*b**2 + 346*b - 2344. Let u be p(7). Which is smaller: u or 913? u Suppose 16*t - 24 = -8. Let g be 297/((-24)/(-8)) - 2/t. Which is bigger: g or 100? 100 Let t = 6992 - 5878. Which is smaller: t or 1116? t Let w = 2/11261 + 11135/709443. Is 0 >= w? False Let i be ((-4)/(-1))/(2 + -3). Let o be (i/2)/(-2) - 3. Let q be ((-10)/450*-15)/(1/42). Is o bigger than q? False Let l(u) = -3*u**3 + 5*u**2 + 4*u - 4. Let a be l(4). Let i(q) = -4*q**2 + 38*q + 6. Let k be i(5). Let t = a + k. Which is smaller: -5 or t? -5 Let w = 5880/17 - 346. Let l = -37948 + 37941. Is l at most as big as w? True Let l be 4/12 - (-9)/(108/1868). Suppose -41*z - 1632 = -l. Suppose 0 = -3*y - 125 + 17. Is z bigger than y? False Let h be 7/((-77)/55) + 0 + 496/63. Let i = -53875/252 + 855/4. Let v = i + h. Does -2/7 = v? False Let v = -22613 + 22612.9053. Which is greater: -6 or v? v Let m be 22/143 + (-23464)/(-91). Is m greater than or equal to 253? True Let a be 1575079/5509126 + 4/(-14). Is 0 greater than or equal
{ "pile_set_name": "DM Mathematics" }
+ b. Is n(h) a multiple of 36? False Suppose -5*u + 27738 = 111*g - 115*g, -2*u - 4*g + 11084 = 0. Is 6 a factor of u? False Let o = 31765 - 1860. Is 74 a factor of o? False Let n(v) = -65*v + 11 + 52 - 138 + v. Is n(-2) even? False Let n(m) = -m**2 + 29*m - 165. Let r be n(21). Suppose 0*s + r*d + 793 = s, -3172 = -4*s + 3*d. Is 13 a factor of s? True Let s(x) = 25*x - 34. Let w(b) = -16*b + 23. Let v(o) = -5*s(o) - 8*w(o). Suppose 3*i - 11 = 43. Is 9 a factor of v(i)? False Let n = 1406 + -395. Suppose -540 - n = -3*r. Is 47 a factor of r? True Let b(w) = -2*w**2 - 18*w - 14. Let z be b(-8). Let r be 31 + (z/4)/(2/(-12)). Is ((-147)/r)/((-3)/52) a multiple of 7? True Suppose -13*i - 139*i = 0. Let f be (2 - -1) + 0 + 0. Suppose -217 = -4*b - 0*s + s, -b - f*s + 64 = i. Does 12 divide b? False Let r(x) be the second derivative of x**5/20 - 3*x**4/4 - 3*x**3 - 35*x**2/2 - 2*x. Does 11 divide r(12)? False Let o = 11608 + -9328. Is 95 a factor of o? True Let b = 370 + -910. Suppose -3*j + 3*g = -12, 0*j = -4*j + 3*g + 16. Does 10 divide b/(-10) - j*1? True Does 55 divide -1 + (-14 + 18 - -3705)? False Let w(q) = q**3 + 14*q**2 + 2*q + 28. Let o be w(-14). Suppose -2*s = -2*i + 20, o = -0*i + 2*i + 4*s - 50. Suppose -14*k - 18 = -i*k. Is k a multiple of 9? True Let p = -1 + -1. Let j(y) = 4 - 330*y + 172*y + 156*y. Does 2 divide j(p)? True Suppose 10*s - 5*s = 775. Suppose -s*u = -158*u + 105. Is 35 a factor of u? True Suppose 3*z + 3 - 12 = 0. Suppose 5*q + 524 = 4*d + q, 4*d - z*q - 519 = 0. Is 26 a factor of d? False Suppose 4*c + 4*t = 78056, 3*c + 5*t = 25973 + 32557. Is c a multiple of 245? False Let h = 76 + -82. Is 9 a factor of (-6 + 5)*2358/h? False Is 5 a factor of ((-12)/(-22) + 4*13/(-1144))*2246? False Let y = -182 - -182. Suppose y = -z + 4*k - 95 + 240, 1 = -k. Is z a multiple of 47? True Suppose 0 = -5*b - 5*f + 105, -3*f = -5*b - 0*b + 113. Suppose -b*x + 2037 = -19*x. Is 21 a factor of x? False Suppose 52*r = 59*r - 28. Suppose -r*q + 8*f = 3*f - 965, 230 = q + f. Does 22 divide q? False Suppose -102*l = -103*l + 2. Suppose -l*c - 4*y + 1200 = -8*y, -2*y = -5*c + 2992. Is 13 a factor of c? True Let p(c) be the first derivative of 4*c**3/3 + 10*c**2 - 26*c + 64. Does 7 divide p(-11)? True Let j(b) = 5*b**3 + b**2 - b. Let s be j(1). Suppose -27 = -s*p - 37. Is 20 a factor of (p/(-2))/(-1)*-80? True Let s(w) = 10*w**2 - 5*w - 15. Let m be s(9). Suppose 6*j = -4*j + m. Does 10 divide j? False Suppose 7*g - 5 = 16. Suppose g*f - 2932 = 398. Does 74 divide f? True Suppose -12*z = -5*z - 238. Suppose 0 = z*n - 38*n - 1460. Let x = -78 - n. Is x a multiple of 16? False Let h(n) = -3*n**3 - 3*n**2 + 8*n - 25. Let w be h(6). Let u = w - -747. Is 6 a factor of u? False Let v be (-2480)/(-6)*((-78)/(-65) + 0). Is (357/84)/(4/v) a multiple of 26? False Is 245 a factor of 9 - 4 - -10541 - (4 - -7)? True Let y(x) = -x - 105. Let i be y(0). Suppose 3*o + 9 = 5*j + 614, -3*j = 3. Let d = i + o. Is d a multiple of 14? False Let q = 808 + -456. Let w be -2 - (-8)/3 - q/(-12). Suppose 0 = 2*h - 16 - w. Is h a multiple of 17? False Suppose 3*x + 4*g - 34051 = 131, -x = 4*g - 11386. Is 60 a factor of x? False Suppose -342*x = -346*x - 16, 9264 = 4*s - 5*x. Is s a multiple of 7? False Let o(k) = 3*k**2 - 20. Let f be 24/16*16*3/(-9). Does 9 divide o(f)? False Let x(m) = -49*m - 2. Let h be x(-3). Let o(t) = -t**2 + 388*t - 7673. Let n be o(21). Let f = n + h. Is f a multiple of 35? False Let x be 1/(-2*1/(-8)). Suppose -23*y + x*y = -323. Is y a multiple of 5? False Does 37 divide 3238 + ((-21)/(-12))/(10/(-40))? False Let b = 455 - 459. Does 47 divide (-1128)/(-20)*1/b*-10? True Suppose -4*q + 317 = -j, 2*j + 3*j + 5*q + 1510 = 0. Let r = j + 578. Is r a multiple of 14? False Suppose 9 - 15 = 2*t. Let i be (t/3)/(3/(-6)). Suppose -170 = -2*j + 4*b, -i*b - 2*b = -3*j + 247. Is j a multiple of 13? False Suppose -13 = -t - 0*t. Suppose -5*p = -38 + t. Suppose -p*n + 2*n = -129. Is n a multiple of 13? False Suppose 2*s - 345 = -3*u + 6198, -4*s - 4*u = -13088. Is 13 a factor of s? False Suppose x = -5 - 9. Let c(u) = 12 - 3 + 18 - 35*u - 20*u + 52*u. Does 15 divide c(x)? False Let j = 16266 - 7829. Does 4 divide j? False Suppose -m = -4*d + 15, 2*d = -d - m + 20. Suppose -d*n = -2*i - 0*i - 24, i + 2 = 0. Is (7/((-14)/(-4)) - -12)*n a multiple of 28? True Suppose 2431 = 3*u + 2*i - 3*i, -3*i = 4*u - 3263. Suppose -5*f + 6*y + 1352 = 3*y, -3*f + u = -2*y. Is f a multiple of 15? False Let u(j) = 20*j**2 - 8*j - 6. Let b be u(-6). Suppose 0 = -2*l + 3*l - 5, -5*s - 3*l = -355. Suppose b = 5*w - s. Is w a multiple of 26? False Let h = 381 + -379. Suppose -4*z = 35 - 15, -4*p = -h*z - 574. Does 7 divide p? False Let m(g) be the third derivative of -g**6/120 - g**5/12 + g**4/3 + 7*g**3/6 + 9*g**2. Let f be m(-6). Is 6 a factor of ((-1)/((-3)/87))/(f - -6)? False Suppose j - 5*c - 6621 = 0, 33*j = 36*j + 4*c - 19863. Is j a multiple of 26? False Let g(c) = 53*c**2 - 10*c + 70. Is 89 a factor of g(8)? True Suppose 2*n + 15694 = 3*t + 3*n, 0 = -9*n - 18. Is t a multiple of 13? False Let n = -454 - -477. Suppose v - 201 = n. Does 12 divide v? False Let i = 11212 - 10003. Does 71 divide i? False Suppose 96*q - 1188 = 95*q - 5*f, -2*f + 3525 = 3*q. Is 37 a factor of q? False Suppose 20*a - 2090 = 10*a. Is (a - 15)*(-3)/(-2) a multiple of 25? False Suppose 41*y = 171*y - 1615510. Does 43 divide y? True Let o(l) = 25*l + 5. Suppose 0 = 2*x - 8 + 4. Suppose x = -3*m + 11. Is 20 a factor of o(m)? True Let l(s) = 3*s**2 - 22*s - 22. Let w be l(-1). Is 1 + -1 + (w - (-3 - 21)) even? False Let m(y) = -2*y**3 + 6*y**2 + 14*y - 1. Let h be m(-2). Does 3 divide 4/(-6)*(h + -23)? False Let o be (-70)/(-10) - (2 + 2). Suppose 53 + 515 = -3*x - 5*w, -4*x - 739 = o*w. Let i = -109 - x. Is i a multiple of 8? True Let c = 299 - 295. Suppose -5*a + 928 = 5*u - 1062, -1972 = -5*u + c*a. Is 44 a factor of u? True Let h = 41483 + -29855. Is h a multiple of 19? True Suppose -5*f - 200*w + 199*w + 20247 = 0, -20253 = -5*f + w. Is f a multiple of 10? True Suppose -15*p = 47 - 347. Suppose -2*r - d + 5*d = -124, -4*d = p. Is r a multiple of 4? True Suppose 148 = -4*r + 456. Suppose d + 3*h - 60 = 0, 3*h - 11 = d - r. Does 63 divide d? True Let b(o) be the second derivative of -o**5/15 - 2*o**4 + 7*o**3/2 - 10*o. Let u(k) be the second derivative of b(k). Does 14 divide u(-20)? True Let z(w) = 145*w**2 + 43*w + 190. Is 6 a factor of z(-5)? True Let c = 6405 + -4074. Is 10 a factor of c? False Suppose 4*m - 24 = 4*f, -11 - 1 = -m + 3*f. Let p be ((-128)/m + -1)*-3. Suppose -7*c + 170 = -p. Is 14 a factor of c? False Let p(l) = 6*l + 76. Let y be (-22)/6*(-5 + 5 + -3). Does 21 divide p(y)? False Let y(t) = 2*t**2 - 8*t + 22. Let r(k) = k**2 - k. Let i(n) = 4*r(n) + y(n). Is i(7) a multiple of 12? False Suppose 5*h - 4*d - 320 - 88 = 0, 0 = 3*h - 2*d - 244. Suppose 0 = -5*t - h + 260. Let x = 34 + t. Is x a multiple of 7? True Let t(u) = 4*u**2 - 29*u + 11. Let a be t(7). Let s(d) = 57*d - 176. Is s(a) a multiple of 2? True Let h(v) = 49 + 38 + 61*v - 70. Is h(3) a multiple of 76? False Suppose 436*r + 5*i = 441*r - 163830, 0 = -3*r - 2*i + 98268. Is 52 a factor of r? True Let m(k) = -49*k + 69. Let q(h) = 48*h - 68. Let a(v) = 5*m(v) + 6*q(v). Does 16 divide a(13)? True Suppose -8557 = -6*h - 2065. Let t = h - 538. Does 34 divide t? True Let k(u) = 3*u**3 - u**2 - 5*u + 9. Let t(q) = -2*q**3 + q**2 + 3*q - 5. Let j(y) = -3*k(y) - 7*t(y). Is 10 a factor of j(4)? True Let q(h) = 5*h**3 + 5*h**2 + 6*h + 18. Let w(a) = -6*a**3 + 11*a + 15*a**3 + 35 + 8*a**2 + 0*a**2 + a**2. Let k(i) = -7*q(i) + 4*w(i). Is k(0) a multiple of 3? False Suppose -2*j - 2*o + 17944 = 2*j, 0 = j + 3*o - 4491. Is j a multiple of 39? True Let d(t) = t**2 + 3*t + 31. Suppose 93 = -5*v - 447. Let j = v + 122. Is 45 a factor of d(j)? False Let p be 10 + -5 - 1/(-1). Let c(o) = -o**3 + 6*o**2 + 2*o. Let l be c(p). Is (388/l + -1)*(-3)/(-2) a multiple of 15? False Suppose -31 + 3 = n. Let i = -1132 - -1193. Let p = i + n. Is p a multiple of 11? True Let l(z) = z**3 - 27*z**2 + 38*z + 26. Does 27 divide l(28)? False Let y(z) = -488*z - 53. Does 41 divide y(-5)? False Suppose 4*t = -5*i + 3070, -39*t + 4*i + 3088 = -35*t
{ "pile_set_name": "DM Mathematics" }
hich is the smallest value? (a) k (b) -3 (c) w b Let z = 201.2 - 188. Let v = -13.3 + z. Which is the third biggest value? (a) v (b) -5 (c) -3/8 (d) -26 b Suppose 0 = d + 6*d - 14. Suppose 2*o - m + 11 = -2*m, o + d = -4*m. Let k be 2 - 0 - (-15)/o. Which is the biggest value? (a) -3.5 (b) 2 (c) k b Let t be 2 + 46/(-16) + 1. Let f = -0.04 - -0.1. Let w = -18/211 + 656/2743. Which is the smallest value? (a) f (b) w (c) t a Let s be ((-490)/(-130) - -2)*2. Which is the second smallest value? (a) 0.5 (b) s (c) 8 c Let f = 48289/11439 + 1/1271. Let m = 75 + -75.3. What is the second biggest value in f, 0.1, m, 1? 1 Suppose 90*r - 518 = 652. Let w = 2 - 0. What is the third biggest value in r, w, -0.6? -0.6 Let y be (4/(-18))/(-4 + 3). Let g = 61802 - 61805. Which is the third biggest value? (a) g (b) y (c) -0.188 a Let x(f) = 84*f - 2017. Let h be x(24). Which is the smallest value? (a) -2 (b) 3/425 (c) h (d) 2/9 a Let l = -1.3 + 1.62. Let y = -1 - -3.68. Let s = l + y. Which is the biggest value? (a) s (b) -2 (c) 2/11 a Let f = 4418.6 + -4418.8. Let p = 1/2 - 11/14. Which is the second smallest value? (a) f (b) 5 (c) p a Suppose 1614 = n + 1617. Let f = 36 + -37. Let j = 24/7 - 86/21. Which is the smallest value? (a) n (b) j (c) f a Let k = 552/7 - 4954/63. Suppose -w + 7 = -3*x, -2*w + 0*x + 11 = -3*x. What is the third biggest value in -2, 3, k, w? k Let v = 1.725 + -5.725. What is the fourth smallest value in 0.2, v, 2/9, 0, 12? 2/9 Let q be (-4)/(-6)*(49/(-56) - -1). What is the third biggest value in -11, -2/21, q? -11 Let w = 42 + -17. Let t be (w/20 - 4) + 2. Let u = -127 + 128. Which is the third biggest value? (a) 3 (b) -0.3 (c) t (d) u b Let m = 0.015 - -3.985. Let g be (-48)/(-30)*(-10)/4. Let f be g + (-82)/(-60)*3. Which is the third smallest value? (a) 1 (b) f (c) m (d) 0.3 a Let g = -9074 + 9074. Which is the second smallest value? (a) -2 (b) -3/2 (c) g (d) -0.451 b Let x be (-3)/(18/8) + 135/2. Let t = x - 66. What is the second smallest value in -7, t, -4? -4 Let h(d) = 12*d + 86. Suppose -14*u = -2*u + 108. Let o be h(u). Which is the second smallest value? (a) -1/11 (b) o (c) -2/5 c Let b = -5 + 8. Let x = -1415.13 + 1415.11. What is the third biggest value in b, x, -8? -8 Let q = 0.71117 + -1.21117. Let g = -0.6 - -1. Let p = 0 + -0.2. Which is the fourth biggest value? (a) -0.4 (b) q (c) p (d) g b Let g = 2924 + -2929. Which is the second biggest value? (a) -47 (b) g (c) -1/2 (d) -1 d Let i = -0.2 + 0.19. Let q be (4/(-6))/(-1 - 16/(-24)). Let n be (-45)/(-60) + q/(-8). Which is the second smallest value? (a) n (b) 0 (c) i b Let h = 0.606 - 0.5797. Let n = 13.9737 + h. Which is the biggest value? (a) -0.4 (b) n (c) 1/10 b Let k = -119.205 - -119. Let o = 5.205 + k. What is the second biggest value in -5, 1/2, 3, o? 3 Let l(i) = i**3 + 92*i**2 + 516*i + 5. Let y be l(-86). Which is the second smallest value? (a) 5/3 (b) 2 (c) 1/2 (d) 0.1 (e) y c Let l be ((-25)/30)/(2/(-3)). Suppose 29*z + 14*z - 81*z - 38 = 0. Which is the third smallest value? (a) 0 (b) 2 (c) z (d) l d Let f = 1.5577 + -0.1577. Let u = -1.6 + 0.3. Let z = u + f. What is the biggest value in -4, z, -0.09? z Let d = 24262 + -24266. Which is the second biggest value? (a) -3 (b) -93/59 (c) d a Let w = -0.09424 - -0.03424. What is the third smallest value in w, -18, -0.3, -2/13? -2/13 Let j = 6841.4 - 6841. Which is the second biggest value? (a) -1/8 (b) j (c) -2 (d) -0.1604 a Let y = -14/23 + 1/115. Which is the smallest value? (a) 3/7 (b) 2/11 (c) -0.3 (d) y d Let g = 3653 - 3656. Let y = -571/3 + 192. Let v = -134/7 - -20. Which is the third smallest value? (a) v (b) y (c) g (d) -0.1 a Let m = 2 + 0. Let g = -0.0324 - -0.4324. Let q = -4/79 - 63/316. Which is the fourth biggest value? (a) g (b) 10 (c) m (d) q d Let x = -116 - -182. Let s = x + -107. Let p = s - -42.9. Which is the third smallest value? (a) p (b) -4 (c) -1 (d) -2/9 d Let i = -524 - -519. Let p = 95.9 - 96. Which is the third smallest value? (a) i (b) p (c) 8 (d) 0 d Let u(l) = -l**3 + 25*l**2 - 20*l - 98. Let t be u(24). Let z = 11 - 11.06. Let f = z + 0.11. What is the second smallest value in 0, f, t? 0 Let g = 0.06452 - 78.06452. Let i be (1/(-2))/(30/(-12)). What is the third biggest value in g, -1/6, -1, i? -1 Let w(t) = -6*t**2 - 134*t + 42. Let g be w(-23). Let k be ((-3)/5)/(63/(-175)). What is the third biggest value in -5, k, g, 0.4? -5 Let c be 11/9 + 1 + (-4 - -2). Let v = 4.8 + -9.2. Let o = v + 5.4. What is the second smallest value in o, 4, c, -0.3? c Let z = -24431 + 24431.0938. What is the second biggest value in z, 0.3, -3/4? z Let b = 18.5 - 24.5. Let q = b - -5.98. Let z = 0 + -1. What is the second smallest value in -3, q, z? z Suppose -d = -6*d - 5. Let o = -0.336 - -0.33. Let t = o - 0.194. Which is the second biggest value? (a) 10 (b) d (c) t c Let t be 2/(-6)*(2 - 1). Suppose 0 = 8*f + 426 + 430. Let k = f + 213/2. Which is the third smallest value? (a) -1 (b) k (c) t c Let m = 0.511 - 1.426. Let b = m - -0.415. What is the biggest value in -4, 4, b, 3? 4 Let t = -1766 - -1763.021. Let v = t - 0.021. Let w be ((-2)/(-4))/(49/14). What is the fourth smallest value in v, -0.1, w, -0.3? w Let z be 0 + (-57)/252 + 3391/(-142422). Let o = -15 + 13.3. Which is the fourth biggest value? (a) o (b) z (c) 2/3 (d) 3 a Let f be ((-3 + 5)/42)/(7/771). Let a = 3726/637 - f. Let h = a - 6/13. What is the third smallest value in -1, h, -0.2? h Let i = -90947/46 + 1977. What is the smallest value in 13, -4, i? -4 Let l = -9 - -13. Let s = 2.94 + 0.06. Let h = 206824 + -206823. Which is the smallest value? (a) s (b) h (c) l b Let r = -12.4372 + 4.4372. Let z = 2.5 - 3. What is the third smallest value in 4, z, r, 2/9? 2/9 Let o = 0.251 + 25.749. Let f = o + -25. Which is the smallest value? (a) 2 (b) f (c) 139 b Let b = 4508 + -112704/25. What is the fifth smallest value in 2/9, 0.4, -0.4, b, 2? 2 Suppose 230 = -7*b - 19 + 25. What is the third smallest value in 0.1, b, -1/4, -1/7? -1/7 Let v = -144.51 + 149.51. Which is the biggest value? (a) v (b) -27 (c) -0.34 a Let r = 686 - 696. Let m = 5.83 + -5.53. What is the smallest value in -2, r, m? r Suppose -34 = -7*p - 45 + 4. What is the fourth biggest value in 3, p, 17/4, 5, 0.16? 0.16 Let x(p) = p**3 - 4*p**2 + 4*p - 2. Let f be x(2). Let u = 837 + -1442. Let i = u + 604.6. Which is the second smallest value? (a) i (b) f (c) -5 b Let p = 369.37 + -6.37. Let j = 359.6 - p. Let l = -1 + 5. What is the third biggest value in 2/13, j, l? j Let s = -1/44 + 95/308. Suppose 23*g + 371 = -30*g. Let o = 0.4 - 3.4. Which is the fourth biggest value? (a) g (b) s (c) -0.2 (d) o a Let d = -2 + 2.5. Let y = d - 2.5. Let r = 3472.8 - 3467.8. Which is the third smallest value? (a) 0.5 (b) r (c) y b Let f = 3.0183 - 0.0183. What is the third smallest value in -3/4, f, -3? f Let p = -2551.6 + 2552. What is the third smallest value in p, 0.1, -6/23, -0.4, 4? 0.1 Let u = -0.076 + -136.924. Let q = u - -137.1. What is the fourth biggest value in -4, -1, 3, q? -4 Let i = -307.78 - -307.9. Let q = 1.51 + -0.51. What is the second smallest value in i, q, -4? i Suppose -6*m = -2*m - 1300. Let k be 3 + ((-1185)/m - (-8)/10). Which is the third biggest value? (a) 5 (b) k (c) 1/6 b Let o be (-55)/(-33)*(-4)/20. Suppose 0 = 2*b + u + 1 + 6, u = -3. What is the fourth smallest value in b, -0.2, o, -0.1? -0.1 Let a = -1763.11097 - -0.11097. What is the second smallest value in 4/7, 1, a? 4/7 Suppose 3 - 9 = -3*x. Let h = 263 + -265.58. Let m = h + 2.38. What is the biggest value in x, m, 2/3? x Let u be (-496 - -485) + 617/56. Which is the smallest value? (a) u (b) 1/8 (c) 5 a Let h = 5034 - 4998. Which is the biggest value? (a) 1/6 (b) -0.6 (c) h c Let w = 0.7 - -2. Let i = w - 3. Let f be (-1029)/63 - 1/(-3). Which is the biggest value? (a) -3 (b) i (c) f b Let w = 545/1626 - 1/542. Let m = 0.42 - -3.28. Let s = m + -4. What is the third biggest value in 4/5, s, w? s Let o = 0.452 - -0.057. Let l = o + -0.509. Which is the second biggest value? (a) 0.06 (b) -0.1 (c) l (d) 6 a Let f = 0.2 + -5.2. Let h = -9 - -6. Let i b
{ "pile_set_name": "DM Mathematics" }
m**4 + 3/2*m**n. -m*(m - 1)**3/2 Let c be 6*2/4*840/63. Suppose 8*r + 0 = c. Factor -3*s**3 + 3/4*s**r + 3/2*s**2 + 0*s**4 + 9/4*s - 3/2. 3*(s - 1)**3*(s + 1)*(s + 2)/4 Let d(u) = -2*u**2 - 1. Let z(h) = 17*h**2 + 206*h - 10600. Let n(c) = 36*d(c) + 4*z(c). Let n(w) = 0. What is w? 103 Let c = 7/221 + 628/1105. Factor -3/5*n + c*n**2 - 6/5. 3*(n - 2)*(n + 1)/5 Let z(p) be the first derivative of -p**3/3 + 245*p**2 - 60025*p + 400. Suppose z(j) = 0. Calculate j. 245 Let z(q) be the first derivative of 2*q + 3/2*q**2 + 20 + 1/3*q**3. Suppose z(b) = 0. Calculate b. -2, -1 Suppose m - 6*p - 13 = -5*p, -5*m = -2*p - 62. Suppose 16*b**2 - 5*b**2 - m*b**2 - b**3 = 0. Calculate b. -1, 0 Suppose 0 = -3*c - 4*t + 48, 5*c - t = 2*t + 51. Suppose 0 = -4*u + c - 4. Let -2/9*r**4 + 0 - 8/9*r**u - 8/9*r**3 + 0*r = 0. Calculate r. -2, 0 Let s be (108/462)/(-9)*-28. Let d be 2 - 3 - (-13)/11. Factor 10/11*a**3 + d*a + 4/11*a**4 + 0 + s*a**2. 2*a*(a + 1)**2*(2*a + 1)/11 Let m = -408/7 + 2227/28. Let y = m + -19. Factor 0*l + 3/4*l**5 + 0*l**4 + 3/2*l**2 + 0 - y*l**3. 3*l**2*(l - 1)**2*(l + 2)/4 Factor 34/3*w - 35/3 + 1/3*w**2. (w - 1)*(w + 35)/3 Let k(u) be the third derivative of 0*u + 0*u**3 + 0 - 14*u**2 + 1/30*u**6 + 1/6*u**4 + 2/15*u**5. Solve k(o) = 0. -1, 0 What is t in -99*t**5 + 3183624 - 93633*t**3 - 3182706*t**2 + 84226*t - 918*t**4 + 35*t**5 + 30*t**5 + 31*t**5 + 9410*t = 0? -102, -1, 1 Suppose -132*m + 127*m = -15. Let r(v) be the third derivative of 0*v + 1/18*v**m - 1/72*v**4 + 2*v**2 + 0 - 1/180*v**5 + 1/360*v**6. Factor r(l). (l - 1)**2*(l + 1)/3 Suppose -9*y - 60 = -6*y - 18*y. Determine k so that 160/7*k + 160/7*k**2 + 2/7*k**5 + 64/7 + 80/7*k**3 + 20/7*k**y = 0. -2 Let h = 3793 - 3790. Solve 2/5*i**h + 0 + 0*i**2 - 2/5*i = 0 for i. -1, 0, 1 Let m(b) be the third derivative of 3*b**6/160 - b**5/10 + 7*b**4/32 - b**3/4 - b**2 - 31*b. Determine p, given that m(p) = 0. 2/3, 1 Let w(y) = y**2 - 1. Let j(v) = 2*v**2 + 816*v + 10 - 804*v + 0*v**2. Let p(c) = j(c) + 2*w(c). Solve p(t) = 0 for t. -2, -1 Find n, given that 1 + 13*n**3 + 4*n**2 + 6*n**2 - 31*n**3 - 17 - 4*n + 16*n**3 = 0. -1, 2, 4 Let j(g) = 0*g - 1 + 2*g - 6. Let a be j(5). Let -5 + a*q + 0 + 5 + q**2 = 0. Calculate q. -3, 0 Let d(q) be the third derivative of -q**6/24 - q**5/2 + 5*q**4/6 + 20*q**3 - 32*q**2 + 5. Factor d(h). -5*(h - 2)*(h + 2)*(h + 6) Let j(u) be the second derivative of -u**7/630 + 2*u**5/15 - u**4/6 + 2*u. Let v(i) be the third derivative of j(i). Factor v(x). -4*(x - 2)*(x + 2) What is d in 2*d**2 + 2/3*d - 2 - 2/3*d**3 = 0? -1, 1, 3 Let w(i) be the first derivative of -3*i**4 + 68*i**3/3 + 64*i**2 - 112*i + 132. Factor w(m). -4*(m - 7)*(m + 2)*(3*m - 2) Let l be 236/58 + 386/(-5597). Solve -1/8*v**l + 0*v**3 + 1/8*v**2 + 0*v + 0 = 0 for v. -1, 0, 1 Let d(r) be the first derivative of -r**3/7 - 3*r**2/14 + 24*r + 242. What is j in d(j) = 0? -8, 7 Let j = -1004 - -2009/2. Let 1 + 3/2*z**2 - 5/2*z - j*z**4 + 1/2*z**3 = 0. What is z? -2, 1 Let z(s) = 8*s**4 - 17*s**3 - s**2 - 4*s - 7. Let a(x) = -7*x**4 + 15*x**3 + x**2 + 3*x + 6. Let h(d) = 7*a(d) + 6*z(d). Let h(i) = 0. Calculate i. -1, 0, 1, 3 Suppose 9*i - 16 = 7*i. Suppose -2 = 2*s, 3*s - i = -5*j + 9. What is y in -14/9*y**2 + 0 - 8/9*y**5 - 26/9*y**j - 2/9*y - 10/3*y**3 = 0? -1, -1/4, 0 Find q, given that -6*q**2 - 5*q - 3*q**3 - 1/2*q**4 - 3/2 = 0. -3, -1 Let n = 231 - 349. Let k = n - -118. Let x**2 + 1/2*x**3 + k*x + 0 - 1/2*x**4 = 0. Calculate x. -1, 0, 2 Let h = 18 + -15. Suppose -h*k = x + 3, -4*x + x + k = -11. Factor 4*b**x + b - 7*b**4 + 8*b**2 - b + 3*b**4. -4*b**2*(b - 2)*(b + 1) Let w be (-33)/(-6) - (-70)/(-15 + 1). Factor 1/2*t**2 - 2 + w*t**3 - 2*t. (t - 2)*(t + 1)*(t + 2)/2 Let b(w) be the first derivative of 25 - 1/5*w**3 - 6/5*w - 9/10*w**2. Factor b(u). -3*(u + 1)*(u + 2)/5 Let k(g) be the first derivative of -4/3*g**3 + 6 + 2*g + 1/2*g**2 + 2/5*g**5 + 1/6*g**6 - 1/2*g**4. Suppose k(q) = 0. What is q? -2, -1, 1 Let w(q) be the third derivative of -18*q**2 + 0*q + 4/15*q**3 - 1/300*q**7 - 1/15*q**4 + 1/3360*q**8 + 0 - 1/75*q**5 + 1/75*q**6. Determine k so that w(k) = 0. -1, 2 Let d(i) = -2*i**2 + i - 1. Let s(w) = 59*w**2 + 44*w - 11. Let o(n) = d(n) + s(n). Factor o(q). 3*(q + 1)*(19*q - 4) Let j(v) be the third derivative of -v**8/560 + v**7/35 + 3*v**6/25 + v**5/50 - 23*v**4/40 - 6*v**3/5 + 135*v**2. Solve j(s) = 0. -1, 1, 12 Suppose -4*w = -4*z - 0*w - 12, -4*w = -3*z - 11. Let p be z/5 - (-64)/20. Let -3*t**p + 2*t**2 + 3*t**2 - 8*t**2 = 0. Calculate t. -1, 0 Factor -6 + 3*j**2 + 36*j - 12*j**2 - j**2 - 12. -2*(j - 3)*(5*j - 3) Let t(v) be the second derivative of v**6/330 + 3*v**5/110 + v**4/33 - v**3/11 - 5*v**2/22 - 111*v. Factor t(f). (f - 1)*(f + 1)**2*(f + 5)/11 Suppose 617 = -10*w + 617. Let r(v) be the third derivative of -1/36*v**4 + 1/90*v**5 + 8*v**2 + 0 + 0*v + w*v**3. Factor r(z). 2*z*(z - 1)/3 Let f be (3/6)/((-2)/233). Let q = f + 59. Factor 0*r + r**4 + q*r**3 + 0 - 1/4*r**2. r**2*(r + 1)*(4*r - 1)/4 Let g = -16 - -16. Let n = 1353/2 + -9431/14. Factor 50/7*i**3 + g + 2/7*i + n*i**2. 2*i*(5*i + 1)**2/7 Let f be 548/330 + 24/(-396). Let t(y) be the first derivative of -2*y**2 - 9 + y**4 - 4*y**3 + f*y**5 + 4*y. Determine j, given that t(j) = 0. -1, 1/2, 1 Let l(z) be the first derivative of 0*z**2 - 6 + 0*z + 1/18*z**3. Suppose l(h) = 0. Calculate h. 0 Let b be (-9 - -6)*-3 - (-114)/(-19). Factor 3/2*y**b - 3/2*y + 1/2*y**2 - 1 + 1/2*y**4. (y - 1)*(y + 1)**2*(y + 2)/2 Let a = 23/42 + 11/14. Suppose -263 = 9*q - 281. Solve 10/3*u + 4/3 + a*u**q = 0. -2, -1/2 Suppose 8*c + 58 = 10*c + 5*z, 32 = -2*c + 4*z. Factor 0*p + 0 - 6/5*p**3 - 1/5*p**c - 9/5*p**2. -p**2*(p + 3)**2/5 Let x be (-2232)/992*((-4)/(-66))/(-1). Let w(p) be the first derivative of -x*p**4 + 0*p - 3 + 0*p**2 + 2/55*p**5 + 4/33*p**3. Solve w(j) = 0. 0, 1, 2 Let b(n) be the first derivative of 2*n**5/15 + 2*n**4/3 - 10*n**3/9 + 186. Factor b(w). 2*w**2*(w - 1)*(w + 5)/3 Let i(x) be the third derivative of -x**6/40 - x**5/20 + x**4/4 + 58*x**2 + 2. Factor i(l). -3*l*(l - 1)*(l + 2) Let q = -50 + 63. Solve -5*o**3 - 8*o**4 - 5 - 8*o**4 + 5*o - 7*o**4 + q*o**4 + 15*o**2 = 0. -1, 1/2, 1 Suppose 0 = -39*i - 17*i + 560. Let u(d) be the first derivative of -2/3*d**5 - i - 8/9*d**3 + 1/9*d**6 + 4/3*d**4 + 0*d**2 + 0*d. Solve u(f) = 0. 0, 1, 2 Let w(i) be the first derivative of -3*i**5/20 + 9*i**4/8 - i**3/4 - 9*i**2 - 12*i - 121. Factor w(o). -3*(o - 4)**2*(o + 1)**2/4 Find r, given that -4*r**5 - 24 + 147*r**3 + 17*r**4 - 56*r**2 + 9*r - 147*r**3 - r**4 + 59*r = 0. -2, 1, 3 Let x(u) be the first derivative of u**7/70 - u**6/90 - u**5/15 + 3*u**3 - 9. Let a(f) be the third derivative of x(f). Factor a(k). 4*k*(k - 1)*(3*k + 2) Let c be 6/24*-4 - 7/(-2). Let z(m) be the second derivative of 25/27*m**6 + 5/2*m**4 + 0 - 4*m + 0*m**2 - c*m**5 - m**3. Determine x so that z(x) = 0. 0, 3/5 Let w(v) = 2*v**3 - 10*v**2 - 12*v + 28. Let t = -2 - 2. Let m(k) = -5*k**3 + 19*k**2 + 23*k - 55. Let d(a) = t*m(a) - 9*w(a). Factor d(j). 2*(j - 1)*(j + 4)**2 Let j(g) be the second derivative of g**4/66 - 21*g**3/11 - 2*g + 144. Factor j(n). 2*n*(n - 63)/11 Let w(b) = b**3 + 16*b**2 + 21*b + 92. Let j be w(-15). Suppose 2*c + j + 1/2*c**2 = 0. Calculate c. -2 Let f(t) = t**4 - t**3 + t**2 - t - 1. Let w(h) = 6*h**5 - 19*h**4 - 29*h**3 + 9*h**2 + 45*h - 1. Let i(j) = -22*f(j) - 2*w(j). Determine r so that i(r) = 0. -2, -1, 1/3, 1, 3 Let w(x) be the third derivative of -x**7/315 + 2*x**6/45 - x**5/10 - x**4/2 + 206*x**2. Factor w(t). -2*t*(t - 6)*(t - 3)*(t + 1)/3 Let k(o) = o**3 - 13*o**2 - 15*o + 9. Let n be k(14). Let s = n - -7. Factor 0*f**4 + 4*f**2 - 6*f**s + f - f**5 + 0*f**5 + 2*f**4. -f*(f - 1)**3*(f + 1) Let w(a) = -a**3 - 4*a**2 - 3*a + 4. Let q be w(-3). Suppose -4 = -2*b - q*r - 2, 4*b = 2*r + 14. Suppose 6*n**2 - 2*n**b - 8 + 6*n**3 - 2*n**3 = 0. What is n? -2, 1 Suppose -4*y = 2*n - 7*n - 33, n + 5 = 0. Factor 3*v + 4*v + y*v**2 + 3*v + 8. 2*(v + 1)*(v + 4) Factor 0 + 14/11*n + 16/11*n**2 + 2/11*n**3. 2*n*(n + 1)*(n + 7)/11 Let a(i) be the first derivative of i**6/180 + i**5/30 + i**4/12 + 4*i**3/3 + 5. Let j(w) be the third derivative of a(w). Factor j(x). 2*(x + 1)**2 Let o(h) be the third derivative of -3*h**7/140
{ "pile_set_name": "DM Mathematics" }
e smallest value? (a) -5/57 (b) o (c) -0.3 (d) 0.4 c Let s = 0.4 - 0.2. Let t = -72 + 62. Let w = 15 + t. Which is the second biggest value? (a) w (b) s (c) -2/5 b Let g = -1.43 - -1.4. Let v = -5863/4140 + -5/828. Let m = 6/5 + v. Which is the smallest value? (a) 4 (b) g (c) m c Let p = -0.04 - -0.1. Let n = 0.26 - p. What is the biggest value in -0.1, -0.5, n? n Let d = -26.05 - -27.3. Which is the second biggest value? (a) -5 (b) d (c) 1/2 c Let q = 0.05 - -3.95. Let p be 6/(-14) - (-40)/(-70). Let z be -1*3/6*p*0. Which is the third biggest value? (a) 2/5 (b) z (c) q b Let x be (2 - (6 + -5)) + -3. What is the second smallest value in 3, 0.1, -3, x? x Let w = 77 - 75.44. What is the second biggest value in w, 0, -1, 5? w Suppose -5*v + 11*d + 26 = 10*d, -2*d + 14 = v. Let s(g) = g**2 + 8*g - 5. Let k be s(-9). What is the third biggest value in v, k, -1/8? -1/8 Suppose 3*f = 5*q - 65, 2*f + 25 = 5*q + 7*f. Let v = 24 + -23.6. What is the fourth biggest value in -4, 0, q, v? -4 Let h = -6586/14859 + -2/1651. What is the smallest value in h, 54, 0.1? h Let h = -0.2 + 0.7. Let z = 0.512 - -3.488. What is the fourth biggest value in -16, -3, h, z? -16 Let a = -1.17 - -1.97. What is the second smallest value in 2/3, 0.03, a? 2/3 Let r be ((12/5)/1)/(1044/(-120)). What is the second biggest value in -1/4, r, 0.1, -2? -1/4 Let d = -862/3 + 288. What is the second smallest value in d, -4, -2/63, -2? -2 Let i = -64/35 - -57/35. Which is the second smallest value? (a) 0 (b) i (c) -2 (d) -4 c Suppose 6*s = -54 + 6. Let x be (-6)/s*(13 - 9). Let k = 2 - 0. What is the second smallest value in k, 4, x? x Suppose -4*o + 5*p + 2 + 3 = 0, -4*p - 13 = -5*o. Let v be (36/(-140))/(406/(-35) + 11). What is the second biggest value in v, -1/7, o? v Let t = -46.5 - -46. Let f = t - -0.5. Let x = -11 + 7. Which is the third biggest value? (a) x (b) f (c) -5 c Let c = -43 + 42. Let s = 244 + -247. Suppose 3*g = 7*g + 8. What is the third smallest value in s, c, g? c Let m be (2/(-9))/((-68)/(-12) - 8). Let l = 0.2 - -0.3. Which is the smallest value? (a) l (b) 1/5 (c) m c Let o = -528 + 528.06. What is the biggest value in o, -9, 0.4? 0.4 Let j be 3/12 - ((-335)/4 + -2). Let n = j - 432/5. Which is the biggest value? (a) 0 (b) -2/3 (c) -0.02 (d) n a Suppose -i - 15 = 4*i. Suppose -3*z - 5 = -35. Let p be (2/z)/((-1)/(-2)). What is the third biggest value in p, -5, i? -5 Let x = 55 - 60. Let l = 5 - 2. Let y = -3.3 + l. Which is the third smallest value? (a) y (b) -0.5 (c) x a Let o(b) = -b**3 - 23*b**2 + 49*b - 23. Let v be o(-25). Let n be 2/3 + (-2)/6. What is the second smallest value in v, n, 0.5? 0.5 Suppose 0 = -100*s + 106*s + 30. Which is the second biggest value? (a) s (b) 7 (c) -2 c Let l = 0.0461 - -0.4539. What is the smallest value in l, -2, 78? -2 Let i = 6.21 + -6.61. What is the fourth smallest value in 2/3, i, 1, 9? 9 Let o = 54 + -51. Suppose -3*f + 19 = 7. What is the second smallest value in f, o, -2? o Let z(p) = 57*p + 634. Let x be z(-11). What is the biggest value in x, -3, -2, -0.1? x Suppose 127*y - 121*y - 18 = 0. What is the second biggest value in y, 5, 18? 5 Let m = 1 + -0.5. Let z be (-5)/((-15)/2) - (-2815)/(-60). Let x = 46 + z. Which is the third smallest value? (a) x (b) m (c) 0 b Let o be (-6 + (-54)/(-6))*(-43)/99. Let t = o - -7/11. Let w = 4.9 + -5. Which is the smallest value? (a) w (b) -2/11 (c) t c Let r = 0.28 - -21.72. Let n = r + -15. Let s = n - 7.4. Which is the smallest value? (a) 2/11 (b) 0 (c) s c Let j = -79.1 - -78.8. Let w = 0.08 - -0.22. Which is the third smallest value? (a) w (b) 2 (c) j b Let r = 3 + -3.4. Let i = 0 - r. Let o = -0.4 + i. Which is the second smallest value? (a) o (b) -2/5 (c) -2/7 c Let g = -5.29 + 0.29. Let x = -4 + -5. Let p = -8 - x. Which is the biggest value? (a) g (b) p (c) 0 b Let g = 1269 - 1266. Which is the second biggest value? (a) -70 (b) g (c) -0.02 c Let o be (4/40)/((-21)/28). Which is the fourth biggest value? (a) -5 (b) 12 (c) o (d) -0.2 a Let x(a) = 13*a - 126. Let n be x(10). What is the fourth smallest value in -0.5, n, 0.5, 8? 8 Let l(h) = -h**2 - 8*h + 4. Let w(o) = o - 1. Let k be -5*(2 + (-6)/15). Let r be w(k). Let j be l(r). Which is the biggest value? (a) -6 (b) j (c) 3 c Let r = 2/449 + -1802/1347. Which is the third smallest value? (a) -15 (b) 5 (c) r (d) -3 c Let t = 2.28 + -7.28. Which is the third biggest value? (a) -2/9 (b) t (c) 0.5 (d) -18 b Let u = 1.08 - 0.51. Let y = 0.07 - u. Let x = 2.3 + 1.7. What is the third biggest value in 5, x, y? y Let q = -2.62 - -1.62. Which is the biggest value? (a) q (b) 0.7 (c) -5 b Let w = 0.05 + 28.95. Let g = w - 29.09. What is the third smallest value in -3, 0.2, g? 0.2 Let w = -1308 + 1314. Which is the second smallest value? (a) -5 (b) 0.14 (c) w b Let j = 0.18 - 0.06. Let u = -3.12 + j. Let w = 1.6 + -0.6. Which is the third biggest value? (a) w (b) 2/23 (c) u c Let z = -1.5 + -2.5. Let n = -24 + -35. Let m = 233/4 + n. What is the third smallest value in m, 4, z? 4 Let n = -381/5 + 75. Which is the second smallest value? (a) -0.4 (b) 4 (c) n (d) 3 a Let z = -353/22 + 182/11. Let f = 3.7 + -4. Which is the third smallest value? (a) 2/5 (b) f (c) -2/19 (d) z a Let h(n) = n**2 + 6*n - 1. Let r be h(-6). Suppose 14*z = 39*z - 75. Which is the second biggest value? (a) z (b) r (c) 2 c Suppose -5*q - 5*t = 50, -t - 49 = 5*q + 9. Let s be (3/2)/(q/(-16)). Let g be -2 - (1 - (4 - s)). What is the third smallest value in -3, g, 2/3? 2/3 Let f be 6/(-99)*3 + 0. Let k = 59 - 85. Let s = -22 - k. Which is the second smallest value? (a) 3 (b) s (c) f a Let z = -2.7 + 6.1. Let g = 20.4 - z. Let p = -69 - -69.1. Which is the third smallest value? (a) g (b) 0.2 (c) p a Let j = -4615/4 - -1154. Which is the fourth smallest value? (a) -3 (b) j (c) 4 (d) 0.11 c Let o = 112 + -115. Which is the fourth biggest value? (a) 2 (b) -0.2 (c) o (d) -9 d Let t = 105 - 105. Let l = -5605/11 + 1765/231. Let z = -502 - l. Which is the second smallest value? (a) -0.5 (b) t (c) z c Let n be (64/(-21) + 3)*(-30)/5. What is the third biggest value in 0, 1/6, n? 0 Let k = 4.09 + -0.09. Let t = -4.07 - -0.07. Which is the smallest value? (a) -4/7 (b) t (c) k b Let n = 32.59 - -1.41. Let i = n + -32. Which is the fourth smallest value? (a) 1 (b) 4 (c) i (d) 2/7 b Suppose 10*j = 5*j - 165. Let o = j + 21. Let k = -14 - o. Which is the biggest value? (a) -1/5 (b) -1/8 (c) k b Let h = -0.6 - -0.4. Let p be 527/93 + 1*-6. Which is the third biggest value? (a) p (b) h (c) 0 a Let t = 0.1 - 0.1. Let u = 718 + -722. Let o be 2/9 - (-320)/(-144). What is the third smallest value in o, t, u? t Let v be (-1 - 5/(-6))*2. Suppose -5*n = -8*n - 2*r, 4*r = -n + 10. What is the smallest value in -2/17, -2/11, n, v? n Let o = -159 + 46. Let d = 113 + o. What is the third smallest value in 3/2, -2/21, d? 3/2 Let x be 53/(-159)*((-11)/4 + 2). Which is the second biggest value? (a) 5 (b) 2/13 (c) x (d) 264 a Let k be (-53)/8 - 49/(-7). Let r = -6007/8 - -749. What is the third biggest value in k, r, 1/3? r Let w(d) = 4*d + 52. Let u be w(-15). Let g be 1/(20/(-14))*u/14. Suppose 0 = 2*n - 2 - 2. Which is the biggest value? (a) -5 (b) n (c) g b Let i = -39.74 - 0.26. Let l = 40.2 + i. Which is the third biggest value? (a) 4 (b) l (c) -1/34 c Let k = -44/15 - -13/5. Let o = 206 - 206.3. Which is the third biggest value? (a) k (b) o (c) -2/3 c Let u = -5641/28 - -807/4. What is the second smallest value in u, -4, -31.8? -4 Let m = 0.05 + -5.05. Let p = -7/48 - -1/48. What is the second smallest value in p, m, -1? -1 Let w = -9.18 - -0.18. Let j = 2 + w. Let a = j - -7.1. What is the second biggest value in 1/2, 0, a? a Let x = 172 - 138. Let d = 29 - x. Which is the second biggest value? (a) d (b) -2/7 (c) -7 a Let s = -47 - -46.7. Let m = -8.8 + 10. Let x = 1.8 + m. Which is the second smallest value? (a) x (b) s (c) 3/2 c Let x be 192/(-97) + 19 + -17. Let s = x + 85/582. Which is the second biggest value? (a) -0.5 (b) -5 (c) s a Let n = 0.8119 - -0.1881. Which is the second biggest value? (a) n (b) 939 (c) -2 a Let z = -51
{ "pile_set_name": "DM Mathematics" }
- 7036 What is the b'th term of 4388, 4384, 4356, 4292, 4180? -2*b**3 + 10*b + 4380 What is the q'th term of 24426, 24415, 24400, 24381? -2*q**2 - 5*q + 24433 What is the y'th term of 1412312, 1412318, 1412324, 1412330, 1412336, 1412342? 6*y + 1412306 What is the x'th term of -62, -163, -318, -533, -814, -1167, -1598? -x**3 - 21*x**2 - 31*x - 9 What is the z'th term of -10087, -10074, -10061, -10048, -10035? 13*z - 10100 What is the a'th term of -45, -166, -337, -582, -925, -1390? -4*a**3 - a**2 - 90*a + 50 What is the k'th term of 12723, 25615, 38507, 51399, 64291, 77183? 12892*k - 169 What is the q'th term of -293, -977, -2093, -3623, -5549, -7853, -10517? 3*q**3 - 234*q**2 - 3*q - 59 What is the d'th term of 139102, 278212, 417324, 556438, 695554, 834672? d**2 + 139107*d - 6 What is the a'th term of 11874, 11807, 11738, 11667? -a**2 - 64*a + 11939 What is the p'th term of -1497, -1494, -1489, -1482, -1473, -1462? p**2 - 1498 What is the d'th term of 18963, 37928, 56893, 75858, 94823, 113788? 18965*d - 2 What is the j'th term of 97, 119, 111, 73? -15*j**2 + 67*j + 45 What is the r'th term of -87, -424, -1311, -3018, -5815, -9972? -45*r**3 - 5*r**2 - 7*r - 30 What is the a'th term of 13193, 26338, 39483, 52628? 13145*a + 48 What is the o'th term of -7385, -14762, -22141, -29522, -36905? -o**2 - 7374*o - 10 What is the g'th term of 6236, 12491, 18756, 25037, 31340, 37671, 44036? g**3 - g**2 + 6251*g - 15 What is the v'th term of -6588, -6577, -6558, -6531, -6496? 4*v**2 - v - 6591 What is the t'th term of -2857, -5392, -7927, -10462? -2535*t - 322 What is the j'th term of -71, -288, -647, -1148, -1791? -71*j**2 - 4*j + 4 What is the q'th term of 3091, 3084, 3075, 3064, 3051, 3036? -q**2 - 4*q + 3096 What is the n'th term of -74, -327, -814, -1589, -2706? -9*n**3 - 63*n**2 - n - 1 What is the z'th term of -84146, -168280, -252414, -336548? -84134*z - 12 What is the n'th term of -2295, -9293, -21131, -37953, -59903? -24*n**3 - 2276*n**2 - 2*n + 7 What is the u'th term of -83, -408, -957, -1730, -2727, -3948? -112*u**2 + 11*u + 18 What is the q'th term of 371, 309, 247, 185, 123? -62*q + 433 What is the z'th term of -560, -1267, -1974, -2681, -3388? -707*z + 147 What is the w'th term of 4485, 35847, 120969, 286731, 560013? 4480*w**3 + 2*w + 3 What is the l'th term of -2250, -8884, -19940, -35418, -55318? -2211*l**2 - l - 38 What is the a'th term of -3, 38, 123, 264, 473? 2*a**3 + 10*a**2 - 3*a - 12 What is the p'th term of -15564, -15563, -15562, -15561, -15560, -15559? p - 15565 What is the i'th term of 1129, 1108, 1087? -21*i + 1150 What is the b'th term of 717, 5759, 19433, 46053, 89933, 155387, 246729? 719*b**3 + 2*b**2 + 3*b - 7 What is the l'th term of 1016, 2067, 3132, 4217, 5328, 6471, 7652, 8877? l**3 + l**2 + 1041*l - 27 What is the j'th term of 463, 1636, 4841, 11098, 21427? 170*j**3 - 4*j**2 - 5*j + 302 What is the y'th term of 2346, 2174, 2002, 1830, 1658? -172*y + 2518 What is the g'th term of -4550, -18179, -40888, -72677, -113546, -163495? -4540*g**2 - 9*g - 1 What is the g'th term of 79, 119, 151, 169, 167, 139, 79, -19? -g**3 + 2*g**2 + 41*g + 37 What is the l'th term of 155, 164, 173, 182, 191, 200? 9*l + 146 What is the s'th term of -695824, -1391650, -2087476, -2783302, -3479128, -4174954? -695826*s + 2 What is the q'th term of -1079, -2397, -3715, -5033, -6351? -1318*q + 239 What is the p'th term of 1793, 3517, 5243, 6971? p**2 + 1721*p + 71 What is the g'th term of -3366713, -6733424, -10100135, -13466846, -16833557, -20200268? -3366711*g - 2 What is the p'th term of -436, -476, -516, -556, -596, -636? -40*p - 396 What is the m'th term of -111, -446, -1019, -1842, -2927, -4286, -5931? -2*m**3 - 107*m**2 - 2 What is the j'th term of -8200, -8845, -9920, -11425, -13360, -15725, -18520? -215*j**2 - 7985 What is the d'th term of 220, 475, 782, 1159, 1624, 2195? 3*d**3 + 8*d**2 + 210*d - 1 What is the q'th term of -63, -426, -1377, -3210, -6219? -49*q**3 - 20*q + 6 What is the f'th term of -569, -1166, -2785, -5936, -11129, -18874? -85*f**3 - f**2 + f - 484 What is the q'th term of 1329, 5820, 13307, 23790, 37269, 53744, 73215? 1498*q**2 - 3*q - 166 What is the d'th term of 38510, 38492, 38440, 38336, 38162, 37900? -3*d**3 + d**2 + 38512 What is the s'th term of -567, -379, 565, 2265, 4721, 7933? 378*s**2 - 946*s + 1 What is the g'th term of 66278, 132593, 198944, 265337, 331778, 398273? g**3 + 12*g**2 + 66272*g - 7 What is the o'th term of 1044, 2064, 3098, 4152, 5232, 6344, 7494? o**3 + o**2 + 1010*o + 32 What is the q'th term of 937, 1068, 1247, 1474, 1749, 2072? 24*q**2 + 59*q + 854 What is the a'th term of -170150, -170143, -170134, -170123, -170110, -170095, -170078? a**2 + 4*a - 170155 What is the u'th term of 26, -293, -822, -1561? -105*u**2 - 4*u + 135 What is the b'th term of 54, 442, 1512, 3606, 7066, 12234, 19452, 29062? 57*b**3 - b**2 - 8*b + 6 What is the k'th term of -6311, -6395, -6535, -6731? -28*k**2 - 6283 What is the t'th term of -5972623, -5972632, -5972653, -5972692, -5972755, -5972848? -t**3 - 2*t - 5972620 What is the f'th term of -57200, -114404, -171610, -228818, -286028, -343240? -f**2 - 57201*f + 2 What is the t'th term of -3573, -3564, -3551, -3534? 2*t**2 + 3*t - 3578 What is the c'th term of 26995, 53987, 80979? 26992*c + 3 What is the o'th term of 4056, 4464, 4874, 5286, 5700, 6116? o**2 + 405*o + 3650 What is the l'th term of 3724, 8026, 12338, 16666, 21016, 25394? l**3 - l**2 + 4298*l - 574 What is the k'th term of 564328, 2257312, 5078952, 9029248, 14108200? 564328*k**2 What is the p'th term of -19786, -19787, -19788? -p - 19785 What is the l'th term of 458, 1476, 3172, 5546, 8598, 12328, 16736? 339*l**2 + l + 118 What is the w'th term of -2196, -2195, -2194, -2193, -2192? w - 2197 What is the v'th term of 51543, 206203, 463973, 824847, 1288819? -v**3 + 51561*v**2 - 16*v - 1 What is the p'th term of -1497, -1164, -853, -576, -345, -172, -69, -48? -2*p**3 + p**2 + 344*p - 1840 What is the u'th term of -454, -1000, -1540, -2068, -2578, -3064, -3520, -3940? u**3 - 3*u**2 - 544*u + 92 What is the o'th term of -1854, -3662, -5442, -7194, -8918? 14*o**2 - 1850*o - 18 What is the k'th term of 50992, 50991, 50990, 50989? -k + 50993 What is the u'th term of -4678, -4682, -4686, -4690, -4694? -4*u - 4674 What is the m'th term of -943, -3466, -7669, -13552, -21115, -30358? -840*m**2 - 3*m - 100 What is the o'th term of -367, -1686, -3885, -6964, -10923? -440*o**2 + o + 72 What is the a'th term of -1877, -3743, -5603, -7457, -9305, -11147, -12983? 3*a**2 - 1875*a - 5 What is the v'th term of 4736, 18925, 42564, 75653? 4725*v**2 + 14*v - 3 What is the j'th term of -567340, -567333, -567322, -567307, -567288, -567265, -567238? 2*j**2 + j - 567343 What is the z'th term of -8236, -8233, -8224, -8203, -8164, -8101? z**3 - 3*z**2 + 5*z - 8239 What is the b'th term of 437, 421, 401, 377? -2*b**2 - 10*b + 449 What is the w'th term of 67, 223, 483, 847? 52*w**2 + 15 What is the v'th term of 143572, 287152, 430724, 574282, 717820, 861332, 1004812, 1148254? -v**3 + 2*v**2 + 143581*v - 10 What is the s'th term of 60, 335, 866, 1659, 2720, 4055? s**3 + 122*s**2 - 98*s + 35 What is the h'th term of -425, -408, -389, -368, -345, -320, -293? h**2 + 14*h - 440 What is the j'th term of -7717, -15419, -23109, -30787? 6*j**2 - 7720*j - 3 What is the y'th term of 1, 100, 283, 550, 901, 1336, 1855? 42*y**2 - 27*y - 14 What is the x'th term of 1765, 3544, 5321, 7096, 8869, 10640, 12409? -x**2 + 1782*x - 16 What is the o'th term of -633, -717, -805, -903, -1017, -1153, -1317, -1515? -o**3 + 4*o**2 - 89*o - 547 What is the v'th term of 295, 307, 319, 331, 343? 12*v + 283 What is the h'th term of 15586, 15564, 15538, 15508? -2*h**2 - 16*h + 15604 What is the l'th term of 859, 1713, 2531, 3295, 3987, 4589? -3*l**3 + 875*l - 13 What is the p'th term of 10151, 19871, 29591, 39311, 49031? 9720*p + 431 What is the q'th term of 74, 301, 698, 1265, 2002, 2909? 85*q**2 - 28*q + 17 What is the d'th term of 146, -862, -1880, -2914, -3970, -5054, -6172, -7330? -d**3 + d**2 - 1004*d + 1150 What is the s'th term of -278, -1001, -2200, -3875, -6026, -8653, -11756? -238*s**2 - 9*s - 31 What is the t'th term of -1367, -1400, -1459, -1556, -17
{ "pile_set_name": "DM Mathematics" }
ee letters picked without replacement from siiiipsssisisiiii. 3/136 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from btsrbusbrtbsuobo. 1/30 Calculate prob of picking 1 l, 1 z, and 1 h when three letters picked without replacement from {l: 1, z: 3, s: 3, y: 2, m: 3, h: 1}. 3/286 What is prob of picking 1 r and 1 s when two letters picked without replacement from uurmsllzrrrlluz? 4/105 Calculate prob of picking 1 y and 2 i when three letters picked without replacement from piypokpzioyizi. 3/91 Calculate prob of picking 1 p, 1 t, and 1 k when three letters picked without replacement from {e: 2, t: 2, m: 1, v: 1, p: 1, k: 1}. 1/28 What is prob of picking 1 m and 1 u when two letters picked without replacement from mmvmmvcuvmcjmcmvmvmm? 1/19 Four letters picked without replacement from {z: 1, h: 3, m: 4, a: 1, x: 2}. Give prob of picking 1 a, 1 z, 1 x, and 1 m. 4/165 What is prob of picking 2 k when two letters picked without replacement from mmkkmk? 1/5 Four letters picked without replacement from jwnbnwejwjw. Give prob of picking 4 n. 0 Calculate prob of picking 2 o and 2 n when four letters picked without replacement from oonnonn. 18/35 Calculate prob of picking 2 w and 1 a when three letters picked without replacement from wrapwapvavwran. 3/91 Two letters picked without replacement from {u: 5, b: 2, z: 3}. What is prob of picking 2 b? 1/45 Three letters picked without replacement from {r: 4, f: 7, j: 2, i: 4, w: 2, a: 1}. What is prob of picking 2 r and 1 a? 1/190 Two letters picked without replacement from {w: 4, f: 2, t: 3}. Give prob of picking 1 w and 1 f. 2/9 Four letters picked without replacement from xxxxnxxnxxx. Give prob of picking 2 n and 2 x. 6/55 Four letters picked without replacement from bbbbbbbbb. What is prob of picking 4 b? 1 Calculate prob of picking 3 y when three letters picked without replacement from yyssyyyyys. 7/24 What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzz? 1 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {m: 4, e: 4, h: 4, k: 2}. 16/91 Four letters picked without replacement from gnvesgggnssssssegn. What is prob of picking 2 n, 1 g, and 1 s? 7/204 Three letters picked without replacement from {u: 4, c: 16}. Give prob of picking 3 u. 1/285 Four letters picked without replacement from wwwwwwwtwttw. Give prob of picking 3 w and 1 t. 28/55 Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {b: 12, n: 6}. 22/51 Four letters picked without replacement from {b: 6, i: 2, s: 4}. Give prob of picking 1 i and 3 s. 8/495 Three letters picked without replacement from {v: 5, c: 5}. Give prob of picking 3 v. 1/12 What is prob of picking 2 z and 1 d when three letters picked without replacement from dfzzb? 1/10 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {y: 2, n: 7, f: 1}. 7/45 Three letters picked without replacement from ttytarjytyty. Give prob of picking 1 a and 2 t. 1/22 Three letters picked without replacement from {m: 1, y: 6, k: 2, b: 3, u: 4}. Give prob of picking 1 m and 2 u. 3/280 Two letters picked without replacement from {g: 2, n: 1, i: 3, y: 1}. What is prob of picking 2 g? 1/21 What is prob of picking 1 s and 1 y when two letters picked without replacement from sroyrsyrysq? 9/55 Four letters picked without replacement from itbqbbbbqq. What is prob of picking 1 i and 3 q? 1/210 Three letters picked without replacement from tttjc. What is prob of picking 2 t and 1 c? 3/10 What is prob of picking 3 m when three letters picked without replacement from {v: 1, h: 1, m: 3}? 1/10 Two letters picked without replacement from ppvyypyyyyzy. What is prob of picking 1 v and 1 y? 7/66 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 1, h: 3}. 1/2 Four letters picked without replacement from wmqvmwrjwrvrvww. Give prob of picking 1 v, 1 r, 1 q, and 1 j. 3/455 What is prob of picking 1 k, 1 t, 1 q, and 1 v when four letters picked without replacement from {k: 2, y: 2, q: 8, v: 5, l: 1, t: 2}? 32/969 Two letters picked without replacement from zwzzwhzwzzwhwwwpwz. What is prob of picking 2 w? 28/153 Three letters picked without replacement from efqfe. What is prob of picking 2 e and 1 f? 1/5 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {m: 5, w: 7, v: 2, z: 1, u: 1, c: 1}. 1/68 Two letters picked without replacement from uji. Give prob of picking 1 u and 1 i. 1/3 Two letters picked without replacement from {p: 7, h: 7, d: 2}. Give prob of picking 2 d. 1/120 Three letters picked without replacement from xxdeedlleeexvdexx. Give prob of picking 2 x and 1 d. 3/68 Three letters picked without replacement from zfzqqqz. Give prob of picking 2 z and 1 q. 9/35 Four letters picked without replacement from eeaaeeeee. Give prob of picking 4 e. 5/18 Four letters picked without replacement from vpajvrpjarjvp. What is prob of picking 2 a, 1 r, and 1 j? 6/715 What is prob of picking 2 h and 1 b when three letters picked without replacement from {b: 2, h: 9, a: 7}? 3/34 Three letters picked without replacement from yiiwiiww. What is prob of picking 2 i and 1 w? 9/28 What is prob of picking 1 g and 1 f when two letters picked without replacement from gfgfgghfhfc? 16/55 Calculate prob of picking 1 h, 1 b, and 1 v when three letters picked without replacement from {h: 1, z: 1, j: 1, b: 4, v: 4, o: 3}. 4/91 What is prob of picking 2 y when two letters picked without replacement from ywkwkkyw? 1/28 What is prob of picking 3 c when three letters picked without replacement from {b: 4, i: 2, c: 8}? 2/13 Two letters picked without replacement from uvxvxjvvv. What is prob of picking 1 j and 1 v? 5/36 What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 7, u: 5, z: 8}? 28/95 Three letters picked without replacement from tytfymy. Give prob of picking 1 m and 2 t. 1/35 Calculate prob of picking 1 q, 1 p, and 2 h when four letters picked without replacement from hqpxqxqshqqq. 2/165 Two letters picked without replacement from {g: 3, v: 1, x: 2, h: 1, y: 1, b: 5}. What is prob of picking 1 x and 1 g? 1/13 Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, a: 5}. 10/21 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from sssstssststssssssst. 20/57 Three letters picked without replacement from qqqquqjuqjqquuqq. What is prob of picking 3 q? 3/14 Three letters picked without replacement from {t: 11, l: 9}. Give prob of picking 3 l. 7/95 What is prob of picking 3 a when three letters picked without replacement from {a: 3, n: 5, o: 3, v: 2, x: 2}? 1/455 Calculate prob of picking 2 q when two letters picked without replacement from {x: 2, g: 1, d: 4, q: 9, y: 1}. 9/34 Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {q: 6, n: 2}. 3/28 Four letters picked without replacement from {g: 4, j: 1, k: 5}. What is prob of picking 3 k and 1 g? 4/21 Three letters picked without replacement from {i: 4, e: 2, n: 3, h: 2}. Give prob of picking 2 n and 1 i. 4/55 Two letters picked without replacement from {t: 1, l: 2}. Give prob of picking 2 l. 1/3 Calculate prob of picking 1 x, 1 q, 1 n, and 1 k when four letters picked without replacement from {j: 1, c: 1, x: 2, q: 3, k: 3, n: 7}. 9/170 What is prob of picking 1 j, 1 x, and 1 s when three letters picked without replacement from xxssjxssxx? 1/6 Two letters picked without replacement from vgddoo. Give prob of picking 1 g and 1 v. 1/15 Three letters picked without replacement from {z: 6}. Give prob of picking 3 z. 1 What is prob of picking 1 t and 2 m when three letters picked without replacement from mliystml? 1/56 Two letters picked without replacement from iix. Give prob of picking 1 i and 1 x. 2/3 Two letters picked without replacement from {z: 7, r: 5}. Give prob of picking 2 z. 7/22 Two letters picked without replacement from {k: 5, w: 3}. Give prob of picking 2 w. 3/28 Calculate prob of picking 2 w when two letters picked without replacement from qqqqqqqwqqqwq. 1/78 Three letters picked without r
{ "pile_set_name": "DM Mathematics" }
**2 + 4*q - 2. Suppose 21*m + 84 = 9*m + 24. Determine m*v(y) - k(y). 9*y**2 + y + 2 Let i(q) = 8*q**3 - 53*q**2 - 42*q + 12. Let h(a) = 2*a**3 - 13*a**2 - 11*a + 3. What is 9*h(v) - 2*i(v)? 2*v**3 - 11*v**2 - 15*v + 3 Let a(j) = 3*j**2 - j - 1. Let w(l) be the first derivative of 7*l**3/3 - l**2 - 3*l - 1845. Let d be (-4 + -1 + 0)*-1. Give d*a(m) - 2*w(m). m**2 - m + 1 Let t(n) = -8*n**3 + 9*n**2 - 4*n + 26. Let i(q) = 9*q**3 - 10*q**2 + 4*q - 30. Determine 6*i(r) + 7*t(r). -2*r**3 + 3*r**2 - 4*r + 2 Let q(g) = 5*g**2 + 9*g + 7. Let y(d) = -11*d**2 - 19*d - 16. What is 7*q(l) + 3*y(l)? 2*l**2 + 6*l + 1 Let c(m) = 18*m**2 + 2*m + 2. Let x = -9863 + 9865. Let f(q) = q**2 + q + 1. Calculate x*c(j) - 4*f(j). 32*j**2 Let o(w) = 21*w - 9. Let b(a) = -10*a + 4. Let s be (-1008)/280*(-10)/(-4). What is s*b(m) - 4*o(m)? 6*m Let g(k) = 18945*k + 33. Let z(o) = -3791*o - 6. Calculate -4*g(d) - 22*z(d). 7622*d Let p(a) = 16*a**2 + 94*a - 36. Let h(s) = -s**2 - 4*s + 2. Determine -36*h(c) - 2*p(c). 4*c**2 - 44*c Let i(s) = -s**2 + 73*s - 1178. Let j be i(24). Let h(f) = -3*f**2 - 35*f. Let k(t) = 4*t**2 + 36*t. What is j*k(x) - 3*h(x)? x**2 + 33*x Let m = -4 - -3. Let j(b) = 5*b**3 - 468 - 3*b - 505 + 979. Let v be 34/10 - 6/15. Let s(i) = i**3 - i + 1. Determine m*j(w) + v*s(w). -2*w**3 - 3 Let a(w) = w. Let d(i) = 13*i - 1. Let o(p) = p**2 + 9*p - 629. Let s be o(21). Give s*d(u) - 3*a(u). 10*u - 1 Let f(t) = -964815*t**3 + 1964*t**2 - 1964*t - 1964. Let c(g) = 1473*g**3 - 3*g**2 + 3*g + 3. What is -1964*c(k) - 3*f(k)? 1473*k**3 Let j(z) = 25*z**3 - 4*z**2 + 5. Let y(b) = 13*b**3 - 2*b**2 + 2. Let k be 12/64 - 2555/1168. What is k*j(g) + 5*y(g)? 15*g**3 - 2*g**2 Let j(q) = 4*q**3 - 5*q**2 + 236*q + 4. Let d(s) = 9*s**3 - 12*s**2 + 469*s + 9. What is 2*d(w) - 5*j(w)? -2*w**3 + w**2 - 242*w - 2 Let k(r) = -r**2 + 1. Let a(s) = -3*s**2 + 2*s + 5. Let h(m) = 22*m - 45. Let n(z) = -21*z + 45. Let q(x) = 4*h(x) + 5*n(x). Let v be q(3). Give v*k(y) + a(y). 3*y**2 + 2*y - 1 Let a(t) = t - 1. Let m(o) = -10*o**2 - 11*o + 8. Let c(d) = 41*d**2 + 46*d - 33. Let f(k) = -6*c(k) - 26*m(k). Determine -20*a(y) + 2*f(y). 28*y**2 Let g(t) = 89*t - 3. Let x(w) = 133*w - 5. Suppose -33 = 5*k - u, -k + u - 14 + 1 = 0. Calculate k*x(v) + 8*g(v). 47*v + 1 Let z(k) = 3*k**3 + 9*k**2 + 9*k + 9. Let f be (-26 - -28)/(4/18 + 0). Let m(r) be the first derivative of r**3/3 + r**2/2 + r - 39. Give f*m(g) - z(g). -3*g**3 Let j(z) = 320*z + 124. Let o(g) = -g - 5. Determine j(k) + 24*o(k). 296*k + 4 Let t(o) = 297*o**3. Let b(n) = -12*n**3 - 9*n**3 - 9*n**3 + 30*n**3 - 11*n**3. Let u be 3/(-2) - 0 - (-33)/(-66). Calculate u*t(f) - 55*b(f). 11*f**3 Let k(t) = -31*t**2 + 473*t + 8. Let g(w) = -10*w**2 + 163*w + 3. Give 11*g(f) - 4*k(f). 14*f**2 - 99*f + 1 Let p(k) = -154*k**2 - 55. Suppose 24*x = 7*x + 51. Let h(u) = -3 - x - 15*u**2 - 6*u**2 + 4*u**2. Calculate -55*h(s) + 6*p(s). 11*s**2 Let y(a) be the first derivative of -5*a**4/4 + 3*a**2 + 5*a - 8190. Let t(k) = -k**3 + k. What is -3*t(i) + y(i)? -2*i**3 + 3*i + 5 Let a(j) = -j**3 + j**2 + j + 1. Let c(h) = 4*h**3 + h**2 - 5*h - 7. Suppose 12*u = -0 - 1 + 13. Give u*c(l) + 5*a(l). -l**3 + 6*l**2 - 2 Let i(w) = 2*w**2 - 768*w - 25. Let b(d) = -d**2 + 256*d + 9. Calculate -8*b(s) - 3*i(s). 2*s**2 + 256*s + 3 Let b(l) = -3250*l**2 + 25*l + 16. Let f(k) = 1081*k**2 - 8*k - 5. What is 6*b(m) + 19*f(m)? 1039*m**2 - 2*m + 1 Let h(z) = z**2 + 2*z - 6. Let n(k) = -19*k**2 - 12*k + 30. What is 6*h(r) + n(r)? -13*r**2 - 6 Let c(m) = -7*m**2 + 5*m - 4. Let z be c(1). Let a(q) = 4*q + 1. Suppose 0 = -3*w + 1 + 5. Let d(n) = -1 + 2 + 2*n + 3*n - w*n. Calculate z*d(s) + 5*a(s). 2*s - 1 Let d(o) = o**2 - o + 1. Let i(f) = -294*f**2 + 10*f + 20. Determine -10*d(q) - i(q). 284*q**2 - 30 Let h(t) = 1. Let i(z) = 18*z + 178. Let u be i(-7). Let b(m) = -m**2 - 29 + u - 28. What is -b(k) - 5*h(k)? k**2 Let a(b) = -2*b**2 - 1. Let n(u) = 3*u**2 + 2. Let t(z) = -6*a(z) - 5*n(z). Suppose 3*g = 449 - 197. Let x(p) = 83 - 168 + g. Determine -t(f) + 4*x(f). 3*f**2 Let f be (1/(-2))/(10/(-40)). Let p(v) = -172*v**2 - 1 + 91*v**2 + 82*v**f. Let o(b) be the first derivative of 3*b**4/4 + b**3/3 - b + 1. What is o(g) - p(g)? 3*g**3 Let j(b) = -2*b**3 + 3*b**2 + b - 315. Let m(h) = 3*h**3 - 7*h**2 - 3*h + 657. What is 7*j(d) + 3*m(d)? -5*d**3 - 2*d - 234 Let m(g) = -g + 3. Let b(c) = 3*c - 5*c + c - 4 + 3*c. Let v(t) = -t + 14. Let r = 61 + -50. Let f be v(r). Calculate f*b(s) + 4*m(s). 2*s Let i(t) = -99*t + 46. Let d(m) = -94*m + 46. Determine 11*d(o) - 10*i(o). -44*o + 46 Let z(h) = -267*h**3 + 17*h**2 - 18*h + 13. Let y(d) = -70*d**3 + 4*d**2 - 4*d + 3. What is -26*y(w) + 6*z(w)? 218*w**3 - 2*w**2 - 4*w Let s(l) = -2*l - 8. Let j(q) = 21*q - 11. Let y(t) = -75*t + 34. Let m(f) = -7*j(f) - 2*y(f). Calculate 5*m(o) + 6*s(o). 3*o - 3 Let k(h) = -6*h**2 - 4. Let i = 39 + -37. Suppose -4*z - 3*w + 3 = 0, -i*w = z + 2*w - 17. Let c(b) = 3*b**2 + 2. Determine z*k(q) - 7*c(q). -3*q**2 - 2 Let v(o) = 35*o - 85. Let w(m) = -3*m + 7. Let f be (5/35*-6)/(3/(-21)) - 8. Calculate f*v(h) - 25*w(h). 5*h - 5 Let t(k) = -3 + 4 + k**3 + 18114234*k - 18114234*k. Let y(f) = -34*f**3 + 34. Give 34*t(s) - y(s). 68*s**3 Let q(h) be the second derivative of h**5/4 - h**4/4 + h**3/2 - 3*h**2/2 - 8452*h. Let a(g) = 9*g**3 - 6*g**2 + 6*g - 5. Calculate 3*a(l) - 5*q(l). 2*l**3 - 3*l**2 + 3*l Let i(c) be the first derivative of -c**2/2 - 9. Let k(b) = b + 1. Suppose -o = -3*f - 35, -5*f = -3*o - 21 + 118. Let p = -28 + o. Calculate p*i(w) - k(w). -2*w - 1 Suppose 34*o + 89*o = 172 + 320. Let w(f) = 2*f + 2. Let j(b) = b**3 - 7*b - 7. Give o*j(l) + 14*w(l). 4*l**3 Let t(y) = 10*y**3 + 5*y**2 + 5*y + 5. Suppose -814 + 2534 = -10*u. Let s = 173 + u. Let l(x) = x**3 + x**2 + x + 1. Determine s*t(w) - 5*l(w). 5*w**3 Let v(t) = 19*t + 6. Let q(d) = -233*d - 3. Let u(l) = -559*l - 7. Let a(z) = 12*q(z) - 5*u(z). Give 6*a(c) + v(c). 13*c Let q(w) = w**3 - w**2 - 3*w. Let n(i) = -896*i**3 + 196*i**2 + 588*i. What is 2*n(f) + 392*q(f)? -1400*f**3 Let v = 10 - 16. Suppose 5*w + 10 = 5*d, -9 = -5*d - 3*w + 1. Let y be d/(0 + 4/2) + 0. Let q(u) = u**2 + 1. Let t(f) = 5*f**2 + f + 6. What is v*q(r) + y*t(r)? -r**2 + r Let w(t) = -14*t + 4. Let o(b) = -1. Let s = -118 + 122. Determine s*o(i) + w(i). -14*i Let o(l) = -10*l**3 + 6*l**2 + 10*l - 16. Let g(w) = -6*w**2 - 188*w - 46. Let t be g(-31). Let x(z) = 3*z**3 - 2*z**2 - 3*z + 5. Determine t*x(r) + 5*o(r). -2*r**3 - 2*r**2 + 2*r Let c(v) = -23*v - 2. Let r(z) = 72*z - 262. Give -3*c(i) - r(i). -3*i + 268 Let k(i) be the second derivative of 7*i**3/6 + i**2/2 - 10297*i. Let x(a) = 2*a. Give -2*k(t) + 6*x(t). -2*t - 2 Let g(o) = 156*o + 1391. Let c(p) = -19*p. What is 8*c(l) + g(l)? 4*l + 1391 Let c(s) = -2*s**3 - 2*s**2 - s + 1. Let n = -15995 + 15991. Let w(f) = -3*f**3 - 3*f**2 - f + 2. Determine n*c(v) + 3*w(v). -v**3 - v**2 + v + 2 Let h(p) be the second derivative of p**3/6 + 31*p**2/2 + 5053*p. Let w(c) = 15. Give -3*h(j) + 5*w(j). -3*j - 18 Let t be (9/63)/(3/(-21)). Let z(q) = q. Let w be (-4)/26 - 300/78. Let f(v) = -v**2 - 2*v - 2. Give t*f(h) + w*z(h). h**2 - 2*h + 2 Let q(o) = -81*o - 21. Let x(c) = 79*c + 17. Calculate -4*q(y) - 5*x(y). -71*y - 1 Let f(x) = -4*x + 5. Let r be f(-1). Let y be (-6)/r + 0 + (-350)/(-21). Let d(k) = -y*k + 7*k + 8*k. Let t(z) = 2*z + 1. Determine 5*d(p) + 3*t(p). p + 3 Let n = 21 + -21. Let x(f) = 4 + 2 + 5*f - 2 + n*f. Let g be (0 - -12)/(60/(-40)). Let m(l) = 14*l + 11. Determine g*x(q) + 3*m(q). 2*q + 1 Suppose 27 - 17 = 3*h - 4*n, -2 = 5*h - 2*n. Let m(w) = 2*w. Let s(q) = -q + 1. Let f(y) = h*s(y) + 4*m(y). Let a(c) = c. Give -12*a(b) + f(b). -2*b - 2 Let i(x) = -4*x**2 + 3. Let u(k) = 10*k - 25. Suppose -4*s + 31 = 4*l + 3, 0 = 5*l - 5*s + 5. Let t be u(l). Let c(g) = -3*g**2 + 3. What is t*c(b) - 4*i(b)? b**2 + 3 Let u(k) = -8*k - 196. Let z be u(-25). Let i(a) = -z*a**2 + 3*a**2 + 6671*a**3 - 6670*a**3 - 1. Let s(f) = -9*f**3 + 6*f**2 - 3*f + 6. Give -6*i(q) - s(q). 3*q**3 + 3*q Let y(o) = -106*o**2 - 1628*o + 10. Let i(c) = 21*c**2 + 324*c - 2. Give 16*i(h) + 3*y(h). 18*h**2 + 300*h - 2 Let a(u) = -u**2 - 1. Let p be 56/(-16)*(-88)/154. Let i(j) = -6*j**2 - 11. Calculate p*i(b) - 18*a(b). 6*b**2
{ "pile_set_name": "DM Mathematics" }
ositive. f**(4095/2) Simplify ((g*g**3)/(g/g**(-9)))**42*((g*g**1*g)**(-4/27))**(6/5) assuming g is positive. g**(-3788/15) Simplify ((l*l*l**1*l)**39/(l*(l/(l*l/(l*l*l**(3/2)*l*l*l)))/l*l**(-2/5)))/(l**(-2/19)*l*l**(5/2)*l**(1/3)/(l**(-7)/l)) assuming l is positive. l**(39664/285) Simplify (d/(d**6*d)*d)/d*((d/(d**(2/7)/d))/d)/d*d**(-2)/d*(d/(d**(-1)*d))/d*d*d**1/(d/(d*d*d*d**(-1/7)))*d**0/(d*d/(d/(d*d**7*d))*d) assuming d is positive. d**(-115/7) Simplify (j**(-2))**(-31)/(j**2*j)**(-29/5)*j/(j*j**(1/4)*j)*j**(2/15)*(j**(2/3))**(-2/33) assuming j is positive. j**(154921/1980) Simplify ((((b*b**(-2/5)/b)/b)**(-33)*(b*b**(1/2))**6)**32)**34 assuming b is positive. b**(300288/5) Simplify ((j/j**(-2))/j**(-3))**(-45)*(j**6*(j**(2/5)*j)/j*j)**11 assuming j is positive. j**(-943/5) Simplify ((u**(2/11)*u*u**(-14)/u)/((u/(u**(1/4)/u*u))/u)**(1/44))**(2/113) assuming u is positive. u**(-221/904) Simplify ((m**(6/11)/m*(m/(m/(m**(4/5)*m*m)))/m)/(m**2/m*m*m**(2/11)*m))**(-24/5) assuming m is positive. m**(2424/275) Simplify ((n*(n*n**2*n)/n)**(-1/5))**(-39)*(n**(-6)*n*n)/(n**5*n*n)*(n*(n*n**(1/3))/n*n)/(((n/(((n*n*n*n*n**(2/3)*n*n)/n)/n)*n*n)/n)/n) assuming n is positive. n**(131/5) Simplify (r/r**1)**(-1/51)/(r*r/r**(-1/2)*r/r**(1/4))*((r*r**6*r)/(r*r**3))/(r**(1/4)/(r/(r**(-1/3)/r*r))) assuming r is positive. r**(11/6) Simplify ((b**4)**28)**31/((b*b*b**(-1/3)*b*b**4)/(b/(b*b/b**0))**(6/7)) assuming b is positive. b**(72754/21) Simplify ((u**(-2/9))**(-14))**13/(u**(-1/5)/u*u/u**5*u**(-3)*u/(u/u**1)) assuming u is positive. u**(2144/45) Simplify (((w/(w/(w*w**(-1))))**8/((w*w*w/(w/(w*w**(-1)))*w*w)/w)**(7/5))**(21/5))**(12/7) assuming w is positive. w**(-756/25) Simplify (t**23/(t*t**(-2/7)*t))/(((t*t**(14/9))/t)/t)**(2/5) assuming t is positive. t**(1327/63) Simplify ((l**(-16)/(l*l**(6/5)*l))/(l*l*l**(5/2)*l)**(-2))**6 assuming l is positive. l**(-246/5) Simplify (y*y**(1/3)*y*y**1*((y**1/y*y)/y)**(-13))/((y*y/y**(-8)*y)/(y/y**(-2/9)))**(-18) assuming y is positive. y**(538/3) Simplify ((z**0)**43)**(2/33)*(z/z**(1/3)*z)**(1/25)/(z**(1/11)*z**1) assuming z is positive. z**(-169/165) Simplify (((r/r**1)/r)**(-13)*r**4*r/(r**2*r))/(r**(-8)*r*r*r**2*(r**(-1/2)/r)**(1/42)) assuming r is positive. r**(533/28) Simplify (c/c**1*c**(3/2)*c*c)**(-10)*(c/(c*(c*c**(-5))/c)*c/(c/(c/c**(1/10))))**38 assuming c is positive. c**(946/5) Simplify g/g**33*g*g*(((g/(g/g**15))/g)/g)/g*g**(7/3)*g*(g*g/(g*g*g*g**21))/g assuming g is positive. g**(-113/3) Simplify (((w*w/w**(-2/11))/(((w/(w*w**(-4/7)*w))/w)/w))/((w*w**(-3/5))/(w**5*w)))**(-50) assuming w is positive. w**(-39310/77) Simplify (q**(2/19)*q*q*q**(-1/3))**(2/5)*((q/q**(2/21))/(q*q*q**(-10)*q*q))**(1/65) assuming q is positive. q**(21137/25935) Simplify (((t**0)**42*((t**(-2/21)/t*t)/t)/((t*t*(t*t**(5/3))/t)/t))**3)**(-2/13) assuming t is positive. t**(158/91) Simplify (v**(-2)*v**(-7)*(v*v/(v*v**(1/4)))/(v*v**(2/5)))/(((v**(-4)/v*v)/v)/v*v*v*v*v**(-2/7))**46 assuming v is positive. v**(19809/140) Simplify (b**(1/2))**(-1/53)/(b*b**(-3)*b/(b**(1/6)*b))*b**(2/7)*b**(5/2)*(b**(5/2)*b)/b*b/b**(-7)*b assuming b is positive. b**(18301/1113) Simplify (((n**0)**(1/27)*n**6*n*n*n**(-5))**(-37/3))**(-37) assuming n is positive. n**1369 Simplify (((i**39/i)/(i/(i**8*i)*i*i))/(i**22)**(-3/11))**(-32) assuming i is positive. i**(-1600) Simplify (n/(n**0/n))**16/(n**(-2/9)/n*n*n*n/n**(-4/11))*((n*n/((n**(1/2)/n)/n))/n**(1/16))/(n**1/n*n)**(-17) assuming n is positive. n**(79669/1584) Simplify (u**3*u**2)/(u**0/(u*u*u**2))*((u*u*u**(-1/3))**30)**(-3/2) assuming u is positive. u**(-66) Simplify ((b**(1/2)*b)**(-23))**(-49)/(b**5*b**(-7))**18 assuming b is positive. b**(3453/2) Simplify (((n**(-2/19)/n**1)/((n*n/n**8)/n*n**(2/7)))**(-5))**11 assuming n is positive. n**(-41030/133) Simplify (c*c*c/((c*c**(1/14))/c)*c**(-2)/c*(c/((c**(1/9)/c)/c))**(1/14))**(2/57) assuming c is positive. c**(17/3591) Simplify ((c*c**(-1/9))**39*(c*c/(c*c*c/(c/c**(-4/3)))*c)/c*c**(-3/20))**(-1/15) assuming c is positive. c**(-239/100) Simplify (((r/(r*(r*r/r**(-11)*r)/r))/r)/r**(-3/13)*(r*r*r/((r*r*r**(-4/11))/r)*r)/(r/(r*(r**0*r)/r)))**(2/41) assuming r is positive. r**(-2976/5863) Simplify (((s**(-5)*s)/s)/s**(3/7))/(s*(((s**(-5)/s)/s)/s)/s*s/s**4)*(((s**(3/5)*s)/s*s)/s)/(s/s**5)*(s**1)**(-10/9) assuming s is positive. s**(2854/315) Simplify (w**(2/7)*w/(w/(((w*w**(-3))/w)/w))*(w**(-1/2))**(-3))/((w**(2/5))**33/(w/(w**0*w*w))**(-30)) assuming w is positive. w**(1021/70) Simplify (((r*r**(-31))/r*r/((r*r**(-2/29))/r)*r)/(r**34*r*r**(-27)/r))**45 assuming r is positive. r**(-46890/29) Simplify (u**(-4)*u*u**(-28)*(u**(-7/4)*u*u)**(2/85))**(3/8) assuming u is positive. u**(-15807/1360) Simplify ((u/(u/(u*u*(u*u*u*u*u/(u*u/(u/(u/u**(-6)*u)))*u)/u)*u))**(2/107)/((u*u**(-2/5))/u)**(-37))**(-1/11) assuming u is positive. u**(7948/5885) Simplify ((l*l*l/((l*l/(l*(l**(6/7)/l)/l*l))/l))**(-2/175)*(l*l**(4/23))/(l*l/l**(-2/51)*l))**(12/7) assuming l is positive. l**(-2181776/670565) Simplify ((f**4)**(-14/11))**50/(((((f/(f*f**(-1/5)))/f)/f)/(f**9/f))/(f**(-1)/f**(1/7))) assuming f is positive. f**(-94667/385) Simplify ((v**2*v)/(v**(-5)*v)*v**(5/4)*v**(2/27))/((v**(2/3))**47)**(-46) assuming v is positive. v**(156563/108) Simplify ((((d**10*d)/d*d)/(d**0/d*d))/(d/((((d/(d/(d/(d*d**(2/5)/d))))/d)/d)/d))**42)**17 assuming d is positive. d**(-11203/5) Simplify (((m**5/m)/m)/(m/m**(-3/4))*m*m**(-2)/m*m*m**(-1)*m)/((((m/(m/(m**4/m)*m)*m)/m)/m)/m*m**(2/17)*(m*m**(-2/3))**(2/9)) assuming m is positive. m**(107/1836) Simplify (k*k**(-11)*(k/(k/k**2))/k*k*k)**(3/16)/((k/(k/k**(-2/7)))**26/(k**(-2/7))**(1/2)) assuming k is positive. k**(669/112) Simplify ((k**0)**(-3/10))**(-5)/((k/(k**0*k*k))**(43/4)/((k/k**(-1/2))/k**(-3/2))) assuming k is positive. k**(55/4) Simplify ((m**10/m)/m**(-5))**(-31)*(m**(-3/5)*m**1)/((m/((m**(2/13)/m)/m))/(m*m*m*m**2)) assuming m is positive. m**(-28044/65) Simplify (n**(-28)/n)**(-4/5)/(n**(-16)/(n/(n**35*n))) assuming n is positive. n**(21/5) Simplify (w**(7/4)*w/(w/(w**(8/7)/w))*(w**4*w*w)/w*w*w*w**6)**(1/2) assuming w is positive. w**(417/56) Simplify ((k*k**1)/k*k/k**(1/5))**(-33)/((k**(-1/3)*k)/k**(-2))**(-1/10) assuming k is positive. k**(-887/15) Simplify (j*j/(j*j**(-7)))/j**(1/5)*j/(j/(j/(j*j*j**(4/3)))*j)*j/j**(2/9)*(j/j**(-2/5)*j*j**1)/(j**(2/15)/((j*j/(j**0/j*j)*j)/j*j*j)) assuming j is positive. j**(563/45) Simplify (((i/((i/(i/(i*(i**(1/37)*i)/i)*i))/i))/(i/(i/(i**(1/4)/i))))/((i/i**(-1/11))/(((i/(i**(-2/3)*i))/i)/i)))**(1/36) assuming i is positive. i**(1459/175824) Simplify ((p**18*(p**(13/4)*p)/p)/(p**6/p)**(-14))**(-5/8) assuming p is positive. p**(-1825/32) Simplify ((q**(-18)/q*q**(-5))/((q*q*q**1)/q)**(2/139))**(-7) assuming q is positive. q**(23380/139) Simplify ((u*u**(-4/7))/(u/u**(-4))*u**2*u/(u*u**10*u*u*u))**15 assuming u is positive. u**(-1635/7) Simplify ((q**(3/5)/(q*q**(2/7)/q*q))/(q**2/q*(q**(-4)/q)/q))/((q**1)**(-3/13))**(4/9) assuming q is positive. q**(6029/1365) Simplify ((z**1*z*z**(-4)*(z/z**(-1/4)*z*z)**(5/18))**(-5/3))**(-2) assuming z is positive. z**(-395/108) Simplify ((m**(2/7)*m)**33/((m*m**(-3)*m)/(m/m**(-2/3))))/(m*m**(3/14)*m*m**11*m)**(2/5) assuming m is positive. m**(4138/105) Simplify (((j/j**(1/2)*j)/(j*j**(-2/21)))/((j/j**20)/((j**6/j)/j)))**(-4/7) assuming j is positive. j**(-1982/147) Simplify ((o/(o/o**(1/3))*o**(-1/3))/(o**(-1/2)/o**3))/((o**(1/2)*o*o/o**6*o*o)/(o/(o**(-1/4)*o))**(-25)) assuming o is positive. o**(-5/4) Simplify (o**1*o*((o*o**(-1/6))/o)/o)**(-2/39)/((o*((o*o/(o*o/(o*o*o**2*o*o)*o*o))/o)/o)/(((o*o/(o*o*(o**(2/9)/o)/o*o)*o)/o)/o))**(-9) assuming o is positive. o**(3388/117) Simplify ((o/(o/(o**(-2/7)*o)))/o**(-4/7))**29*(o*o**(-1/4)*o)**(-5/9)*o**(-3/2)/o*o*o/(o*o*o**(-3/4)) assuming o is positive. o**(4355/126) Simplify (s**16/(s*s/((s*s*s**(-20)*s*s)/s))*(s/s**(2/7))**(-2/51))**(-7/4) assuming s is positive. s**(1081/204) Simplify ((x**(-6/7)/x*x/x**22)**(-2/59))**(2/191) assuming x is positive. x**(640/78883) Simplify ((l**(-3))**(-2/61))**(-4/9)*(l**13/(l/(l*l**(-2/11))))**(-25) assuming l is positive. l**(-645163/2013) Simplify (((s/s**14)/(s*s*(s**10/s*s*s)/s*s*s*s))/((s**3*s)/(s*(s**(3/2)*s*s)/s*s*s)))**(-48) assuming s is positive. s**1272 Simplif
{ "pile_set_name": "DM Mathematics" }
+ 4*r + 3. Let c be 1/(-3) - 13/n. Let x(p) = -p + 6. Let m be x(4). Solve m*f - h = -9, -f - 6 = c*f + 3*h for f. -3 Suppose -p - 3*w = -29, 0*w = 2*p - 4*w - 8. Let o = p - -9. Solve -y = -4*a + o - 6, -5*a = -25 for y. 3 Let f(x) = -2*x + 5 - 3*x - x + 4*x. Let w be f(0). Solve 8*c + 41 = 4*c - 5*g, w = -g for c. -4 Let f = 86 + -65. Solve 5*s = 4*o + 3, 2*o - f = -2*o - 3*s for o. 3 Let h be -7 - ((-2 - -2) + 1). Let y be (-4)/h*(2 - 2). Solve 2*l + m - 6 = y, -l + 2*m - 3*m + 3 = 0 for l. 3 Let g(y) be the third derivative of y**5/30 + 7*y**4/24 - y**2. Let l be 10*(1 + (-6)/4). Let d be g(l). Solve 0 = -r + 4*z - 6 + 26, 4*r - 3*z = d for r. 0 Suppose -5*t + 4 = -3*o + 76, -4*o = -4*t - 96. Let l = 26 - o. Solve l*v = -b + 3, 0 = -b - v - 4 + 5 for b. -1 Suppose 4*c = -c. Let m be c/(-3)*(-3)/(-6). Solve 3*w = -m*t + 3*t + 15, -3*t + 9 = 3*w for w. 4 Suppose 0 = 2*f + 4*n + 8, -5 - 4 = -4*f - 3*n. Solve -h = -3*p - f, 4*p = h + 2*h - 13 for p. -1 Suppose -2*p + 11 = -2*u - 5, u + 23 = 4*p. Solve -o = -5*g - 5*o + 7, g = -2*o + p for g. -1 Suppose -l - 3*h = 61, 0 = -l - 0*h - 4*h - 64. Let n be 4/6 + l/(-3). Suppose -t + 2 = -0. Solve 3*y = s - y - n, t*s + 4*y = -24 for s. -2 Suppose n = 10 - 5. Solve 0 = -b - 5*w + 21, 0 = -n*w + 14 + 6 for b. 1 Suppose -5*c = 2*i - 31, -5*c + 4 + 6 = -5*i. Let q be (i + 6)*1 - -1. Let x be 8/(-12) - (-34)/6. Solve -15 = x*h + q, 3*a - 20 = 4*h for a. 0 Let x = -13 - -15. Solve -k + 3 = 0, -n + 2*k + 6 = x*n for n. 4 Let x(q) = -q**3 - 12*q**2 - 14*q - 27. Let a be x(-11). Solve -3*r + r + z - 1 = 0, -r - 5*z = a for r. -1 Suppose 0 = -2*b + 10, -4*b - 20 = x - 9*b. Suppose -2 = 4*l + 5*a, 0*a - a - 12 = -x*l. Solve -3*y - 2 = l*w + 4, -4*w + 4*y = -8 for w. 0 Suppose -4*n + 3 = -9. Solve -4*b = 2*i - 16, -b + n*b + 2*i - 12 = 0 for b. 2 Suppose 4*d - 2*v + 3*v - 15 = 0, -5*d - v + 19 = 0. Solve 2*l = d*y - 0*l + 26, -6 = 4*y + 2*l for y. -4 Let s(a) = a**3 + 2*a**2 - 2*a + 2. Let g be s(0). Solve x - 5*x - 10 = g*m, -2*x = 0 for m. -5 Suppose -5*p - i = -13, 4*i = 2*p + 8*i - 16. Solve -p*s + 5*y - 2 = -31, -4*y - 10 = 5*s for s. 2 Suppose v + 1 - 5 = 0. Suppose 6*u = 2*u + 68. Solve -2*n - 10 = -7*n + l, -l + u = v*n for n. 3 Suppose 5*a - 23 = -2*v - 0*v, -4*a = -4*v - 24. Suppose 12 = -a*d - 3. Let p = d - -6. Solve i - j + 6 = 0, -p*i + 9 - 3 = 3*j for i. -2 Let h = -2 - -5. Suppose 0 = 3*d - 2*t - 17 + 1, d + 4 = -4*t. Suppose 0*l + h*l = 4*r + 87, -5*l + 137 = -d*r. Solve -5*y + l = -0*i - 5*i, -4*i = 4 for y. 4 Let r(d) = d. Let x be r(4). Suppose 2*t - x = -2*n + 2, -2*t = n + 2. Let k be n/5 + 2/5. Solve -j = -5*z + 3*j - 5, 5*j = -k*z + 31 for z. 3 Suppose -2*z + p + 2 = -p, p - 11 = -3*z. Let c be 34 - (z/3 + -1). Let i = -17 + c. Solve 4*y - 5 = w - 4*w, -4*w + i = -5*y for w. 3 Let z be 4*((-20)/8 + 2). Suppose -4*j + 18 = 2*s, j + 9 = -s + 5*j. Let h be ((-7)/s)/(z/6). Solve 10 = -5*n, h*n = f + 2*n - 10 for f. 0 Suppose -3*p = -2*p - 26. Suppose 3*d - 1 = 11. Suppose 3*t - 11 = d. Solve 2*b = t*j + 27, b - 4*j = j + p for b. 1 Let l(j) = -j - 2. Let w be l(-7). Suppose 5*a - 5 - w = 0. Suppose 5*s - 15 = a*s. Solve -4*t - 16 = -n, -4*n = 3*t - s*n + 13 for t. -3 Let v(y) = y + 2*y + 0 - 3. Let p be v(6). Suppose 0 = 3*u - 6 - 9. Solve c + c + p = 3*f, 10 = -u*c + 2*f for c. 0 Suppose w - 3*w = -5*a + 25, -4*a - w + 33 = 0. Solve -o + 3*d - 11 = 0, 5*o + 5*d + 2 = a for o. -2 Let f = 53 + -33. Solve -3*a - 4*z = f, -8*a + 5*z = -3*a + 10 for a. -4 Let j = -17 - -19. Suppose j*f - f = 3. Solve 0 = -f*w - 3*a, 6*a = 3*a + 15 for w. -5 Let p = -28 + 40. Solve 3*w - 4*n = p, 3 = w - 2*n + n for w. 0 Let d be (-11 - -16)*(-4)/(-10). Solve -14 = -4*k + n, 5*n = d*k - 24 + 8 for k. 3 Suppose -24 = -b + 21. Suppose -4*n = -0*c + 5*c - 9, -b = -5*c + 5*n. Solve -c*f = -g + 18, 6 = 2*g - 5*g for f. -4 Let x(r) = -r + 7. Let d be x(7). Solve d = t - 0*t - 3*u + 2, 5*t = 5*u - 20 for t. -5 Let f(n) = -n**3 + 3*n**2 + 2*n - 2. Let x be f(3). Suppose -5*q + 1 + x = 0. Solve 4*t - 5*g - q - 11 = 0, g + 15 = 5*t for t. 3 Let v(h) = -h**3 - 7*h**2 - 7*h + 8. Let p be v(-6). Let w be (-2)/(-6) + (-65)/(-3). Let l = w + -15. Solve 2*z + i + p = l*z, 0 = -5*z - 4*i - 6 for z. 2 Let g(k) = 11*k - 3*k**2 + 3*k**2 + k**2. Let z be g(-11). Solve -a + 0*i + 3 = i, i - 5 = z for a. -2 Suppose -12*f = -7*f. Suppose 2*u + f*u = 0. Solve u = 2*v + 2*v - 2*k + 30, v + 4*k = 15 for v. -5 Suppose 3 = -4*s - 5. Let p be 1 + 3/1 + -9. Let j = s - p. Solve 2*n + j*n - 3*b - 32 = 0, 0 = 2*n + 4*b + 8 for n. 4 Let b(f) = f**3 - 3*f**2 - 4*f. Let d be b(4). Solve -v - 19 = -0*p - 4*p, d = 3*p - 5*v - 27 for p. 4 Let p = 12 + -8. Solve 3*i = 3*z + i - 13, -p*z + 5*i = -15 for z. 5 Let r(u) = 2*u - 7. Let f be r(6). Solve -4*x = -4*b - 24, -3*x + 3 + f = 2*b for b. -2 Suppose -3*k = -0*k. Let q = k - -4. Solve 4*c - 3*t + 21 = 0, -22 = 2*c - q*t - 4 for c. -3 Let b be 12/5*(-1 - -6). Solve -4*o + 2*s + b = 6*s, 0 = -2*o - 5*s + 15 for o. 0 Let z be ((-10)/4)/((-10)/20). Suppose 0 = f - 0 + 1. Let s be (f + -1)*3/(-2). Solve -s*o = -2*o + 5*j - z, -4*j - 17 = 5*o for o. -5 Let u(m) = 9*m**2 - 3*m - 7. Let z(c) = -4*c**2 + c + 3. Let n(b) = -2*u(b) - 5*z(b). Let p be n(1). Solve -2*g + 2 = -3*t, p*g = -t - 3*g - 12 for t. -2 Let u = 19 - 19. Solve 4*x - 2*n + 10 = u, 0 + 1 = 2*x + n for x. -1 Let z = 10 + -14. Let i = -1 - z. Solve -g - 2*w + 6 = -w, 0 = i*g - 4*w + 17 for g. 1 Let u(c) = -4*c + 1. Let n be u(-1). Let s be 2 + 1 + (n - 3). Solve d = -s*q + 5, 3*q + 5*d - 3 = 2*d for q. 1 Let w(c) = -c**2 - 7*c - 5. Let s be w(-2). Suppose -5*y + s*t = -10, -5*y + 2*t = 3*t + 2. Solve 17 = 3*h - 2*k, h + 8*k - 3*k = y for h. 5 Let v = 6 + 5. Let f(o) = o**3 - 10*o**2 - 10*o - 10. Let s be f(v). Solve 3*m = -h - 1, -2*h - 4*m - 3 = -s for h. -1 Let u be 6/(-12) - 5/(-2). Solve u*k = 4*b + 2, 3*k - 2*b = -0*b + 7 for k. 3 Let t(d) = -6*d**3. Let v = 8 - 9. Let q be t(v). Solve -l - 3*j = -5*l - q, j - 2 = -5*l for l. 0 Let k(h) = -h**2 + 5*h - 1. Let o be k(4). Solve 0*a - 3*a - 5*i + 20 = 0, o*i = 5*a + 12 for a. 0 Let f = -24 - -27. Suppose 9 = -f*s + 18. Solve -15 = -3*k + s*u, 3*k + 3*u + 3 + 6 = 0 for k. 1 Let y = 205 + -114. Suppose -11*p + y = -4*p. Solve -49 + 14 = -5*t + 4*s, p = t - 2*s for t. 3 Let i(k) = -k**3 - k. Suppose -5*x - 9 = -4. Let j be i(x). Solve -5*c = -o - 0 + 15, 2*c + j*o = -6 for c. -3 Suppose -16 = -4*s, -5*r + 3*s = 6 + 6. Let u be 29/(-4) + 2/8. Let h be (-33)/u - (-6)/21. Solve 4*g = -4*i - r*g + 36, -h = 5*i - 5*g for i. 4 Let g(x) = -x**3 - 6*x**2 + 9. Let q be g(-7). Let m be 3/9 - q/(-6). Let u = m - 5. Solve -u*r - a - 11 = 0, 2*a = -2*a + 16 for r. -3 Let n = 7 - 7. Suppose 3*k + n*t = 2*t + 79, k - 3*t = 24. Solve -2*v + 3*v + 7 = 4*s, -3*v + k = 4*s for v. 5 Let a = -43 - -24. Let q = 22 + a. Solve f = 3, -5*f - q = -k - 19 for k. -1 Let o be 2/8 - (-25)/(-4). Let u be -2 - -4 - -1*2. Let f be u/o*3 - -6. Solve f*i - 2*i - h + 8 = 0, 5*i = -h - 13 for i. -3 Suppose -4*t + 72 = -t. Suppose 4*b + d - t = b, 0 = 4*b + 5*d - 43. Solve 3*q + 8 + b = -5*l, 0 = q - 3*l - 9 for q. 0 Let m be 1 + (-1 - -3) - 0. Let c(h) = h**3 - 3*h**2 + h + 2. Let o be c(m). Solve b - 5*z - o = -3*b, -b + 4 = -4*z for b. 0 Suppose k - 38 = -2*l, 0*l - 4*k + 98 = 5*l. Suppose -n + d = -6*n + 4, n + d - 4 = 0. Suppose n = -3*y + 27 + l. Solve 4 - y = -4*i + 3*w, w = 3 for i. 5 Let i(x) = -x**2 + 2. Let z be i(0). Suppose -o - 2 = -y, -z*o = -4*o. Solve -3*u + 3 = y*j - 2, -j - u + 3 = 0 for j. 4 Let s = -29 - -32. Solve -3*c - 9 = b, 5*c - s*b + b = -15 for c. -3 Let p be (-1 + (-15)/(-21))/((-1)/14). Solve -p*j - 2*q = -8, -3*q = 4*j + 2*q - 20 for j. 0 Let a = 0 - -3. Let j = 36 - 21. Let g be (-4)/(-3) - (-10)/j. Solve -2*i - 2*i + 17 = a*t, g*t = i + 4 for t. 3 Let j be (-1 + 7)*(-20)/6. Let b be -3 + 4 - (0 + j). Let f = 2 + 1. Solve -2*d - b = f*d + 3*s, 5*d + 13 = s for d. -3 Let i be (8/6)/(6/9). Solve -o - 17 = -i*g + 6*g, -17 = -3*o + 5*g for o. -1 Let d be 1/3 + (-23)/(-3). Suppose 4*x - 15 = x. Suppose 4*g = -2*l + 10, -5*l - 4 = -g + 4. Solve -w + 2*s - 2 = g*s, -w + x*s = d for w. -3 Suppose 5*a + 30 = 10*a. Solve r - 11 = -a*v + 2*v, 3*v = -2*r + 7 for r. -1 Suppose 0 = 2*b + 12 + 10. Let f = 15 +
{ "pile_set_name": "DM Mathematics" }
*3 + 3*j**2 - 8*j**2. What is c(-3)? -15 Let j(s) = s + 5. Let c = 1 - -2. Suppose -1 - c = w. What is j(w)? 1 Let z(l) = l - 2. Let s(g) = g**2 + 5*g + 4. Let h be s(-6). Let y be 2/10 + (-62)/h. Let q be -2 + y/2 - 0. Give z(q). -7 Let b = 8 - -3. Let x(v) = -v - 9. Let w(k) = -3. Let i(c) = b*w(c) - 4*x(c). Determine i(-2). -5 Suppose 3 = 2*v - 5. Let m(j) = 12*j - 5 + 5 - j**2 - 6*j + v. Calculate m(4). 12 Let f be (-7)/(-2)*-2 + 3/3. Let a(i) = i**2 + 8*i + 5. Calculate a(f). -7 Let s(m) = -m + 5. Let i(c) = -c + 6. Let h(p) = 4*i(p) - 5*s(p). Let r(x) = x**2 + 3*x - 16. Let f be r(-6). What is h(f)? 1 Let s = 53 - 22. Suppose 5*m - 19 - s = 0. Let t = 6 - m. Let l(b) = -b**3 - 3*b**2 + 3*b + 1. Calculate l(t). 5 Let h(b) = -2*b**2 - 5*b + 2. Suppose 28 + 2 = 3*y. Let n = y + -14. Determine h(n). -10 Let j(u) = -5*u - 2. Let s = -11 + 5. Let a(m) = 4*m + 1. Let w(f) = s*a(f) - 5*j(f). Give w(5). 9 Let d(x) = -10*x + 1. Let a(s) = -3*s. Let p(y) = -7*a(y) + 2*d(y). Let q = 1 + -1. Let j be 0*(q/3 + 1). Determine p(j). 2 Suppose -4*g + 2*g = -6, -3*p - g = -6. Let v(b) = -2*b**3 - 2*b. Let j(a) = -3*a**3 - 3*a. Let r(k) = -3*j(k) + 5*v(k). Calculate r(p). -2 Let u = -29 + 34. Let l(c) be the second derivative of 0 - c - 2/3*c**3 + 1/12*c**4 + 3/2*c**2. What is l(u)? 8 Let l(z) = -33*z + 27*z - z**2 - 2 + 8. Let h = 10 + -16. Calculate l(h). 6 Suppose -21 = 28*b - 21*b. Let f(u) = -u**2 - 4*u - 4. What is f(b)? -1 Let k(o) = o + 5 + 0 + 3. What is k(-6)? 2 Let n be ((-9)/(-6))/((-3)/4). Let l(o) be the second derivative of 5*o**3/6 + 3*o**2/2 - 5*o. Give l(n). -7 Let z(r) = -r**2 + 6*r + 2. Let t be z(5). Let i = -8 + t. Let m(n) = 4*n**3 + 2*n**2 + n. What is m(i)? -3 Let y be (2 - -3)*6/(-15). Let v(q) = q - 1. Suppose -6 = -t + 3*t. Let r(m) = m + 4. Let d(n) = t*v(n) - r(n). Give d(y). 7 Suppose 1 + 2 = -n. Let i be -2*(-5)/(5/2). Let o(s) = -3*s**2 + s - 2*s**3 + 5*s**3 - i*s**3 - 3. Calculate o(n). -6 Suppose 0 = -3*g - 0*g + 9. Let j(t) = t**2 - 3*t. Determine j(g). 0 Let v(s) be the third derivative of -s**6/120 - 2*s**5/15 - s**4/24 - 5*s**3/3 - 43*s**2. Determine v(-8). -2 Let v(g) = 3*g**3 - 19*g**2 - 7*g + 6. Let p(s) = 2*s**3 - 10*s**2 - 3*s + 3. Let t(x) = 5*p(x) - 3*v(x). Determine t(-6). -3 Let j(y) = -y**2 + 15*y - 9. Let a be j(14). Let d(f) = 2*f - 1. Give d(a). 9 Let h(k) = -3*k**3 - 4*k**2 + 4*k - 3. Let y(p) = 2*p**3 + 3*p**2 - 3*p + 2. Let z(g) = 4*h(g) + 5*y(g). What is z(-2)? 8 Let m be -4 + -2 + (-9)/(-3) + 6. Let f(t) be the first derivative of -t**2 - 4*t - 1 + 4/3*t**m + 1/4*t**4. Determine f(-4). 4 Let z(c) = 1 - c + 2 - c. Suppose 66*j = 68*j + 6. Give z(j). 9 Let b(t) = -t - 1. Let l = -7 + 9. Let x be -1 + l/2 - 0. Give b(x). -1 Let f(w) = -w**2 - w - 1. Let a be 58/18 + (-8)/36. Let m(x) = -2*x**2 - 3*x - 6. Let r(o) = a*f(o) - m(o). Give r(0). 3 Let m(t) be the third derivative of t**4/24 - 7*t**3/6 + 3*t**2. Suppose 0 + 8 = 2*d. Determine m(d). -3 Let q(r) be the second derivative of r**4/12 + r**3/6 - r**2/2 - r. Suppose -2*s - 1 = 5*u + 1, 2 = -2*s. Give q(u). -1 Let j(t) = 2*t - 3. Let k(l) = l - 2. Let b(w) = -j(w) + 3*k(w). Suppose 9 = -2*z - z. What is b(z)? -6 Let i(g) = -g + 1. Let z(a) = -a - 3. Let j(c) = -2*i(c) + z(c). What is j(7)? 2 Let s be ((-6)/12)/(2/(-20)). Let k(t) be the third derivative of t**5/60 - 7*t**4/24 + t**3/2 + 3*t**2. Determine k(s). -7 Let u(h) = -1. Let p(m) = m - 9. Let b(i) = p(i) - 2*u(i). Let z(r) = -1. Let l(j) = b(j) - 6*z(j). Determine l(-6). -7 Let s(d) = d - 1. Suppose -4*t = -0*t + 12. Let a = 5 - t. Suppose -4*u - 9 = i + 9, 3*u + a = 2*i. What is s(u)? -5 Let k(x) = 4 + x - 2 - x**2 + 2. Suppose -5*a = -z + 17 + 5, 0 = 2*z - 2*a - 4. What is k(z)? -8 Let c(j) = -j**3 + 4*j**2 - 2*j - 2. Let a be c(2). Let p(o) = a*o - 50 + 44 - o. Suppose 3 = 4*u + 5*l + 7, 24 = 2*u - 4*l. What is p(u)? -2 Suppose 0 = -4*r - 2*a + 10, r - 3*a + 2 = 1. Suppose 2 = 5*w - r*b, 3*b + b = 3*w - 4. Let n(o) = 0*o - 1 + w*o + 3*o. Calculate n(1). 2 Let w(t) be the first derivative of -2*t + 2*t - 3*t + t - t**2 - 3. Give w(-2). 2 Let d(z) = -z**2 + 5*z. Suppose 0 = -5*y + 19 + 1. Let n be d(y). Let l(h) be the first derivative of h**2/2 + 2*h + 17. What is l(n)? 6 Let r(h) = -5*h**3 - 3*h**2 - h + 6. Let n(y) = 6*y**3 + 3*y**2 + 2*y - 7. Let f(w) = -4*n(w) - 5*r(w). What is f(-3)? 7 Let u(g) = -g + 2. Let z be u(6). Let w(d) = d**2 - 1. Let s(f) = -f - 2. Let r(a) = s(a) + w(a). Let n(b) be the first derivative of r(b). Calculate n(z). -9 Let h(v) = -v + 6. Suppose 0 = -a - 2 + 1. Let t = a + 4. Determine h(t). 3 Let u(w) be the second derivative of w**8/6720 - w**6/360 - w**5/60 + w**4/4 - 2*w. Let t(b) be the third derivative of u(b). Suppose -x - 1 = 1. Give t(x). -6 Let o(n) be the first derivative of -n**3 - n**2/2 + 4. Let b(f) = -f + 3. Let s(c) = c - 3. Let g(r) = 4*b(r) + 3*s(r). Let w be g(2). Calculate o(w). -4 Let a(o) = -10*o - 1. Suppose -2*d - 4 = -0*d - 3*x, 0 = -4*x + 8. Give a(d). -11 Let h(s) = 17*s**3 - 1. Let w be h(1). Let o be (18/(-8))/((-6)/w). Let v(z) = -z**2 + 6*z + 1. Let b be v(o). Let u(l) = 2*l**2 - l. Give u(b). 1 Let h(p) be the third derivative of p**6/120 - p**4/8 + p**3/3 - 32*p**2. Give h(-3). -16 Let g = 9 - 7. Let l(z) = z**3 - 4 - 5*z**g + 0 + 5*z + 3. Give l(4). 3 Let u(w) = 1 - w + 2*w - 2. Let h be u(4). Let l(i) = 2*i - 8*i + 2*i**2 + 2 + 2*i. Determine l(h). 8 Let z(n) = -n + 0*n**2 - 1 + 0*n - 3*n**2 + 10*n**2. Suppose s - 3*s - 14 = 3*k, -k = -s + 3. Calculate z(s). 7 Let g = -5 + 11. Let k(v) = -g*v**3 + 8*v**2 + v - 16*v**2 + 7*v**2. Determine k(1). -6 Let l(g) = -7*g**2 + 0*g**3 + g**3 + 2 + 4*g**2. Let q be l(3). Let z(w) = -2 + q - 2*w**2 - 5*w - 2. Calculate z(-3). -5 Let t(q) be the first derivative of -q**4/4 + q**3/3 - q**2 + 3*q - 72. Let n = -1 + 3. Calculate t(n). -5 Let v(q) = -2*q**2 - 1. Let h = -115 + 117. Give v(h). -9 Let k = 4 - 2. Suppose -k*y - 5 - 3 = 0. Let i(h) = h**3 + 5*h**2 + 3*h - 2. Calculate i(y). 2 Suppose -3*n - 2*n + 5*o - 35 = 0, 0 = 2*n - o + 9. Let u(j) = 2 - j**2 + 0*j**2 + 8*j - 6*j + 1. Determine u(n). -5 Let w(h) = h + 1. Let f(r) = 5*r + 1. Let q(l) = -f(l) + 6*w(l). What is q(4)? 9 Let z(a) = -a**2 + 2. Let g = -8 + 10. Calculate z(g). -2 Let q(z) = z - 1. Suppose 0 = s + s - 14. Suppose 5*a - s = -2. Calculate q(a). 0 Let w be (-8)/3 - 1/3. Let d(o) = -5*o**3 + 4*o**2 - 25*o - 9. Let i(z) = z**3 - z**2 + 6*z + 2. Let k(t) = -2*d(t) - 9*i(t). Determine k(w). -6 Let j(h) = -h**3 - 3*h**2 + 2*h + 4. Let d be j(-4). Suppose -2*f = -0*f - d. Suppose -y - f = y. Let z(g) = g + 4. Calculate z(y). 1 Let o(f) = 4*f**2 - 2*f + 5. Let y(a) be the first derivative of a**3 - a**2/2 + 5*a + 2. Let t(p) = 2*o(p) - 3*y(p). Determine t(0). -5 Suppose 0 = 2*t + t - 15. Let k be (-2)/t + (-6)/10. Let s(n) = n - 1. Calculate s(k). -2 Let m(i) = 2*i + 4 - 5*i + i. Suppose 4*g = -3 + 15. What is m(g)? -2 Let p(b) be the third derivative of b**6/10 - b**4/24 - b**2. Let t = 57 + -58. Give p(t). -11 Let k(l) = -l**2 - 7*l - 4. Let o(x) = -x**2 + 2*x + 9. Let r be o(5). Determine k(r). 2 Let a(f) be the second derivative of -f**3/6 - 7*f**2/2 - f. Suppose -17*d = d + 108. Calculate a(d). -1 Let h be -3*(3 - (-28)/(-6)). Let g = 10 - h. Let s(o) = -o**3 + 4*o**2 + 4*o + 6. Determine s(g). 1 Suppose n = 3 - 1. Suppose -5 = -n*i - 17. Let y(l) = -l - 4. Let v be y(i). Let a(j) = 3*j**2 - 3*j. What is a(v)? 6 Let i(r) = -5*r + 5 + r + r**3 + 8*r**2 - 3*r**2. Calculate i(-6). -7 Let w(v) = -v**2 - 3*v - 4. Let u be (-1 + (0 - -2))/1. Let b(s) = 1 + 5*s + 36*s**2 - 37*s**2 - 3*s**3 - 6*s. Let t be b(u). What is w(t)? -8 Suppose 5*w - 35 = -5*h, -5*w + 10*w = -2*h + 20. Let o(v) = 2*v + w + 0*v + 6. Let l(a) = -2*a + 30. Let j be l(18). Calculate o(j). -4 Let p(r) be the first derivative of -r**4/2 + 2*r**3/3 - 3*r**2/2 + r + 22. Determine p(2). -13 Suppose 0 = -f - 3*d - 10, -2*f = -f + d + 4. Let l = -2 + 4. Let v = l - f. Let z(w) = -w**3 + w**2 + 3*w + 3. What is z(v)? -6 Let y be 11 - 8 - 28/(-2). Let p(c) = 4*c - 10 + y - 7. Calculate p(-1). -4 Let g(q) = -q**2 + 3*q + 10. Let r(c) = -c. Let j(f) = -g(f) + 4*r(f). Suppose 3*m - 5*m + 8 = 3*b, 0 = -5*b - 10. What is j(m)? -10 Suppose -2*s - 3 + 7 = 0. Let p(o) = -5*o
{ "pile_set_name": "DM Mathematics" }
7 What is 88 minutes after 10:38 AM? 12:06 PM How many minutes are there between 12:38 PM and 1:05 PM? 27 How many minutes are there between 8:17 AM and 4:51 PM? 514 How many minutes are there between 8:25 PM and 8:13 AM? 708 How many minutes are there between 2:01 PM and 8:46 PM? 405 What is 418 minutes before 1:11 AM? 6:13 PM What is 463 minutes after 1:13 PM? 8:56 PM What is 583 minutes after 5:45 AM? 3:28 PM What is 535 minutes after 5:38 AM? 2:33 PM How many minutes are there between 1:00 AM and 12:07 PM? 667 How many minutes are there between 4:17 AM and 7:54 AM? 217 How many minutes are there between 4:07 AM and 10:46 AM? 399 What is 173 minutes after 3:36 AM? 6:29 AM How many minutes are there between 7:31 AM and 6:47 PM? 676 How many minutes are there between 2:53 AM and 6:10 AM? 197 What is 660 minutes before 4:07 PM? 5:07 AM What is 482 minutes before 5:04 PM? 9:02 AM What is 583 minutes after 3:49 PM? 1:32 AM How many minutes are there between 7:52 AM and 4:55 PM? 543 What is 507 minutes before 9:57 PM? 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589 What is 322 minutes after 2:04 AM? 7:26 AM What is 67 minutes after 7:39 PM? 8:46 PM How many minutes are there between 2:02 AM and 8:36 AM? 394 How many minutes are there between 12:31 AM and 8:32 AM? 481 How many minutes are there between 9:57 PM and 8:59 AM? 662 What is 470 minutes after 10:21 AM? 6:11 PM What is 595 minutes before 6:35 PM? 8:40 AM How many minutes are there between 4:50 PM and 8:04 PM? 194 How many minutes are there between 7:30 AM and 5:22 PM? 592 What is 19 minutes before 10:02 PM? 9:43 PM What is 556 minutes before 4:21 AM? 7:05 PM What is 398 minutes after 11:22 PM? 6:00 AM What is 535 minutes after 10:41 AM? 7:36 PM What is 309 minutes before 2:40 AM? 9:31 PM What is 328 minutes before 12:01 AM? 6:33 PM How many minutes are there between 3:56 AM and 2:51 PM? 655 What is 488 minutes after 8:30 PM? 4:38 AM How many minutes are there between 3:10 PM and 12:59 AM? 589 How many minutes are there between 8:44 AM and 3:38 PM? 414 How many minutes are there between 7:05 AM and 1:21 PM? 376 What is 291 minutes before 2:57 PM? 10:06 AM How many minutes are there between 8:11 PM and 6:21 AM? 610 How many minutes are there between 12:26 AM and 11:41 AM? 675 What is 493 minutes before 3:20 AM? 7:07 PM What is 504 minutes before 6:01 PM? 9:37 AM What is 217 minutes after 8:25 AM? 12:02 PM What is 423 minutes before 5:57 AM? 10:54 PM What is 211 minutes before 10:47 AM? 7:16 AM What is 607 minutes after 8:00 AM? 6:07 PM What is 321 minutes before 7:23 PM? 2:02 PM What is 231 minutes after 4:07 PM? 7:58 PM How many minutes are there between 6:34 PM and 4:18 AM? 584 What is 97 minutes after 10:30 PM? 12:07 AM What is 148 minutes before 11:27 AM? 8:59 AM What is 549 minutes before 8:16 PM? 11:07 AM How many minutes are there between 7:37 PM and 3:48 AM? 491 How many minutes are there between 3:41 AM and 6:26 AM? 165 What is 480 minutes after 6:08 AM? 2:08 PM What is 556 minutes after 9:35 PM? 6:51 AM How many minutes are there between 3:19 PM and 3:54 PM? 35 What is 678 minutes after 3:40 AM? 2:58 PM What is 681 minutes after 2:41 AM? 2:02 PM What is 667 minutes after 11:03 PM? 10:10 AM How many minutes are there between 7:32 AM and 4:16 PM? 524 What is 53 minutes after 2:25 AM? 3:18 AM How many minutes are there between 2:22 PM and 3:16 PM? 54 How many minutes are there between 10:35 PM and 4:29 AM? 354 How many minutes are there between 10:55 PM and 1:10 AM? 135 What is 121 minutes before 7:12 PM? 5:11 PM What is 549 minutes before 8:57 AM? 11:48 PM What is 128 minutes before 11:35 AM? 9:27 AM How many minutes are there between 6:43 PM and 3:50 AM? 547 What is 643 minutes before 10:02 AM? 11:19 PM How many minutes are there between 9:46 PM and 11:53 PM? 127 What is 353 minutes after 6:41 AM? 12:34 PM What is 142 minutes after 2:37 AM? 4:59 AM What is 704 minutes before 3:50 AM? 4:06 PM How many minutes are there between 1:58 PM and 6:49 PM? 291 What is 48 minutes after 11:09 AM? 11:57 AM How many minutes are there between 9:58 PM and 4:14 AM? 376 How many minutes are there between 2:50 AM and 6:21 AM? 211 How many minutes are there between 3:23 PM and 5:55 PM? 152 How many minutes are there between 7:57 PM and 8:01 PM? 4 What is 155 minutes before 3:04 AM? 12:29 AM How many minutes are there between 6:39 PM and 6:41 PM? 2 How many minutes are there between 3:11 AM and 7:06 AM? 235 What is 423 minutes after 7:06 PM? 2:09 AM How many minutes are there between 5:59 AM and 5:39 PM? 700 How many minutes are there between 4:29 AM and 11:15 AM? 406 How many minutes are there between 3:41 PM and 5:44 PM? 123 What is 49 minutes before 2:04 PM? 1:15 PM What is 588 minutes after 3:46 PM? 1:34 AM How many minutes are there between 5:20 AM and 8:35 AM? 195 How many minutes are there between 12:04 AM and 10:47 AM? 643 How many minutes are there between 12:48 AM and 6:19 AM? 331 What is 628 minutes after 2:23 AM? 12:51 PM How many minutes are there between 1:39 PM and 6:22 PM? 283 What is 120 minutes before 8:25 PM? 6:25 PM What is 296 minutes after 1:21 PM? 6:17 PM How many minutes are there between 3:20 AM and 10:05 AM? 405 What
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 10 What is the third root of 1285592 to the nearest integer? 109 What is the cube root of 422010 to the nearest integer? 75 What is the ninth root of 1894119 to the nearest integer? 5 What is the tenth root of 18427651 to the nearest integer? 5 What is 270513 to the power of 1/8, to the nearest integer? 5 What is the square root of 2090787 to the nearest integer? 1446 What is the square root of 24391776 to the nearest integer? 4939 What is 402230 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 7618449 to the nearest integer? 14 What is 17019908 to the power of 1/8, to the nearest integer? 8 What is the cube root of 1057888 to the nearest integer? 102 What is the square root of 150534 to the nearest integer? 388 What is the cube root of 991225 to the nearest integer? 100 What is the cube root of 2291167 to the nearest integer? 132 What is the cube root of 1782203 to the nearest integer? 121 What is 7180179 to the power of 1/7, to the nearest integer? 10 What is 10018526 to the power of 1/3, to the nearest integer? 216 What is 944083 to the power of 1/3, to the nearest integer? 98 What is the fifth root of 2712032 to the nearest integer? 19 What is 26523127 to the power of 1/5, to the nearest integer? 31 What is the square root of 15410146 to the nearest integer? 3926 What is the third root of 1922774 to the nearest integer? 124 What is the square root of 598289 to the nearest integer? 773 What is 9984544 to the power of 1/4, to the nearest integer? 56 What is 3435778 to the power of 1/8, to the nearest integer? 7 What is the fourth root of 465259 to the nearest integer? 26 What is the eighth root of 1517153 to the nearest integer? 6 What is the cube root of 4259509 to the nearest integer? 162 What is 926554 to the power of 1/10, to the nearest integer? 4 What is the cube root of 576935 to the nearest integer? 83 What is 110864 to the power of 1/2, to the nearest integer? 333 What is the square root of 10320821 to the nearest integer? 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7 What is the square root of 53564 to the nearest integer? 231 What is the eighth root of 1679774 to the nearest integer? 6 What is the square root of 4878245 to the nearest integer? 2209 What is the third root of 147639 to the nearest integer? 53 What is 662770 to the power of 1/3, to the nearest integer? 87 What is 360185 to the power of 1/8, to the nearest integer? 5 What is 10099480 to the power of 1/6, to the nearest integer? 15 What is the square root of 13438373 to the nearest integer? 3666 What is the square root of 69223 to the nearest integer? 263 What is 210387 to the power of 1/3, to the nearest integer? 59 What is the ninth root of 606516 to the nearest integer? 4 What is 3852888 to the power of 1/3, to the nearest integer? 157 What is 40310204 to the power of 1/3, to the nearest integer? 343 What is 487 to the power of 1/3, to the nearest integer? 8 What is 5129318 to the power of 1/3, to the nearest integer? 172 What is 78750 to the power of 1/2, to the nearest integer? 281 What is the square root of 1149728 to the nearest integer? 1072 What is the third root of 313076 to the nearest integer? 68 What is the cube root of 31043946 to the nearest integer? 314 What is the cube root of 1463022 to the nearest integer? 114 What is 264571 to the power of 1/2, to the nearest integer? 514 What is 105218 to the power of 1/10, to the nearest integer? 3 What is the third root of 242150 to the nearest integer? 62 What is the fifth root of 488765 to the nearest integer? 14 What is the third root of 282697 to the nearest integer? 66 What is the square root of 514940 to the nearest integer? 718 What is the cube root of 159996 to the nearest integer? 54 What is the cube root of 19942263 to the nearest integer? 271 What is 470126 to the power of 1/8, to the nearest integer? 5 What is 353936 to the power of 1/2, to the nearest integer? 595 What is 573831 to the power of 1/2, to the nearest integer? 758 What is the cube root of 80206 to the nearest integer? 43 What is the square root of 267037 to the nearest integer? 517 What is the cube root of 7972921 to the nearest integer? 200 What is the cube root of 3047403 to the nearest integer? 145 What is 1041662 to the power of 1/3, to the nearest integer? 101 What is the tenth root of 19946991 to the nearest integer? 5 What is the third root of 86299 to the nearest integer? 44 What is 2259261 to the power of 1/3, to the nearest integer? 131 What is the tenth root of 501925 to the nearest integer? 4 What is 4632338 to the power of 1/7, to the nearest integer? 9 What is 5531375 to the power of 1/2, to the nearest integer? 2352 What is the tenth root of 644612 to the nearest integer? 4 What is the ninth root of 1031670 to the nearest integer? 5 What is the cube root of 408026 to the nearest integer? 74 What is the eighth root of 247906 to the nearest integer? 5 What is 523823 to the power of 1/2, to the nearest integer? 724 What is 22977573 to the power of 1/4, to the nearest integer? 69 What is the cube root of 78336 to the nearest integer? 43 What is 503356 to the power of 1/6, to the nearest integer? 9 What is the third root of 761151 to the nearest integer? 91 What is 395310 to the power of 1/3, to the nearest integer? 73 What is 366164 to the power of 1/8, to the nearest integer? 5 What is the square root of 107008 to the nearest integer? 327 What is 15753 to the power of 1/2, to the nearest integer? 126 What is 451662 to the power of 1/3, to the nearest integer? 77 What is 15026867 to the power of 1/2, to the nearest integer? 3876 What is the third root of 2376194 to the nearest integer? 133 What is 5927185 to the power of 1/3, to the nearest integer? 181 What is the square root of 185239 to the nearest integer? 430 What is 34418982 to the power of 1/2, to the nearest integer? 5867 What is the ninth root of 245861 to the nearest integer? 4 What is the cube root of 254513 to the nearest integer? 63 What is the cube root of 10934335 to the nearest integer? 222 What is the cube root of 110500 to the nearest integer? 48 What is the sixth root of 1344963 to the nearest integer? 11 What is the square root of 2353965 to the nearest integer? 1534 What is the square root of 559858 to the nearest integer? 748 What is 114573 to the power of 1/2, to the nearest integer? 338 What is 3516834 to the power of 1/6, to the nearest integer? 12 What is the square root of 522031 to the nearest integer? 723 What is the eighth root of 910638 to the nearest integer? 6 What is 426157 to the power of 1/9, to the nearest integer? 4 What is the square root of 1258675 to the nearest integer? 1122 What is the square root of 880936 to the nearest integer? 939 What is 18069851 to the power of 1/8, to the nearest integer? 8 What is 9046525 to the power of 1/2, to the nearest integer? 3008 What is the cube root of 8382308 to the nearest integer? 203 What is 27863820 to the power of 1/9, to the nearest integer? 7 What is 1538663 to the power of 1/2, to the nearest integer? 1240 What is 305758 to the power of 1/3, to the nearest integer? 67 What is 2447100 to the power of 1/5, to the nearest integer? 19 What is 2
{ "pile_set_name": "DM Mathematics" }
3*k**4)*(-5 + 3 + 1). -6*k**5 + 2*k**4 Expand (a - a + 2*a)*(22*a**3 - 2*a**4 - 22*a**3) + (1 - 1 + 1)*(a**3 - a**3 - 2*a**5) - 2*a**5 - 3*a**5 + 4*a**5. -7*a**5 Expand (u**2 + 0 + 0)*(5*u**2 + 9*u**2 + u**2). 15*u**4 Expand (1 + 0 + a - 2)*(25*a - 25*a + 9*a**4). 9*a**5 - 9*a**4 Expand (14*x**3 + 9*x**3 - 21*x**3 + 10*x**2)*(-x + 4*x - 2*x). 2*x**4 + 10*x**3 Expand -6*w**3 + 2*w**3 + 2*w**3 + (w**2 - 4*w**2 + w**2)*(2*w + 0 + 0) + 0*w**3 + 3*w**3 - w**3. -4*w**3 Expand (l**2 + 2*l**2 - 4*l**2)*(l + 0*l - 3*l + 2*l - l + 0*l + (1 + 1 + 0)*(l + 0*l + l) - 2*l + 0*l + 0*l). -l**3 Expand (1 - z - 1 + 2)*(z - z + 2*z - z**2). z**3 - 4*z**2 + 4*z Expand -3*x**2 + 3*x**2 - 2*x**4 + 4*x**4 + 3*x**4 + 0*x**4 + (-2 - 2*x + 2)*(-4*x**3 + x**3 + 2*x**3). 7*x**4 Expand -k + k + k**2 + (k + k - k)*(2*k - k + 0*k) + (3*k - 4*k - k)*(33 + 8*k + 2*k - 8*k). -2*k**2 - 66*k Expand -46*q**2 + 25*q**2 + 17*q**2 + (2*q**2 - q**2 - 2*q**2)*(1 - 5 + 3) - 4*q + 4*q - 2*q**2 + (-3*q + 2*q + 0*q)*(-2 + 2 + 2*q). -7*q**2 Expand (0*u - u + 3*u)*(-4 + 2 - 2 + (-1 - 1 + 4)*(0 + 3 - 5) + 2 + 2 - 7). -22*u Expand (3 - 5 - 2)*(16*k + 15 - 5 - 9). -64*k - 4 Expand -w**2 + w**2 + 2*w**5 + w**3 + 2*w**5 - w**3 + 1 - 2*w**5 - 1 + (0 + w**2 + 0)*(-w**3 + w**3 + w**3) + (4 - 4 - w**2)*(5 - 4*w**3 - 5). 7*w**5 Expand (a - 2 + 2 - 3*a - a + 2*a + (-6*a + a + 4*a)*(-1 + 3 + 0) - a + 5*a - 5*a)*(0 - 2 + 0)*(-5*a + 0*a + 6*a). 8*a**2 Expand (3 - 10*b - 3)*(-3*b + 5*b - 2 - 1). -20*b**2 + 30*b Expand (-4*y + 4*y - 2*y)*(y**4 + y**4 + 0*y**4) + 23*y**5 - 9*y**5 - 9*y**5 + (0 + 0 - 2*y)*(-2*y**2 + 2*y**2 - 2*y**4). 5*y**5 Expand (3*m + m - 3*m)*(-2*m + 2*m - 3*m) + m**2 + 1 - 1 + (-5 + 5 + 2*m)*(-4*m - m + 4*m). -4*m**2 Expand (-1 - 24*c + 11*c**2 + 24*c + (2*c + c - 4*c)*(-c - c + c) + 3*c**2 + 0*c**2 - 2*c**2)*(c**3 - c**3 + 2*c**3). 26*c**5 - 2*c**3 Expand 2*j**2 - 4*j**2 - 4*j**2 + (-2*j + 5*j - 4*j)*(-3*j + 2*j - 2*j) + (5*j + 0*j - 4*j)*(3 + j - 3) + j**2 - 3*j**2 + 3*j**2. -j**2 Expand (0*v - v - 2*v)*(-12*v - 77 + 77). 36*v**2 Expand (-3 - 1 + 2)*(-m**3 + 4*m**3 - 5*m**3) + 0*m**3 - m**3 - m**3. 2*m**3 Expand ((-w - 2 + 2)*(-1 + 3 + 0) + w + 0*w - 2*w)*(-4*w**2 - 8 + 8). 12*w**3 Expand (2*b**3 + b**3 - 2*b**3)*(-b + 2*b + b) - 132*b**3 + 132*b**3 + 17*b**4. 19*b**4 Expand (-r**3 + r**3 - 4*r**3)*(2*r + 0*r + 2*r). -16*r**4 Expand (48*d**3 + d**2 - 48*d**3 - 4*d**5)*(3 + 6 - 4). -20*d**5 + 5*d**2 Expand (-1 + 1 - 4*o)*(-o**2 + o**2 + 4*o**3) - 5*o**4 + o**4 + 3*o**4. -17*o**4 Expand (-4*j + 6*j - 3*j)*(2*j + 2*j - 10*j). 6*j**2 Expand h + 0 + 0 + 0*h + 4*h - 5*h + (4 + 0 - 5)*(2*h + 2*h - 2*h) + 2*h + 0*h + 3*h - 2*h - h + 5*h. 5*h Expand (-3 - 1 + 16)*(-3*l**3 + l**3 - l**3)*(-l + 0*l - l). 72*l**4 Expand (-2 + 1 + 3)*(s**2 - 4*s**4 - s**2 - 2*s**2). -8*s**4 - 4*s**2 Expand -3*y**4 - y**4 + y**4 + (-2*y**3 - 2*y**2 + 2*y**2)*(0*y + y + y) + y**4 - 3*y + 3*y. -6*y**4 Expand (3*k - 2*k + 0*k)*(3*k - 3*k - 3*k**2)*(2 - 2*k - 2 + (-k - 2 + 2)*(2 - 7 + 1)). -6*k**4 Expand (16*x**2 - 9*x + 19*x - 11*x)*(2 - 1 + 0). 16*x**2 - x Expand (-3 + 5 + 4)*(5*h**5 + 2*h**5 - h**5). 36*h**5 Expand ((-g - g + g)*(3*g**2 + 0*g**2 - g**2) + 0*g**3 - 3*g**3 + 0*g**3 + 0*g**3 - 2*g**3 + 0*g**3)*(2*g + 4*g - 5*g). -7*g**4 Expand 2 + 9*q - 2 + (0*q + 2*q - q)*(-1 + 7 - 4). 11*q Expand (-m**2 - m**2 + 0*m**2)*(-7 - m + 7) + 4*m**3 - m**3 - m**3 + (0*m**3 - 5*m**3 + 3*m**3)*(5 - 3 - 3). 6*m**3 Expand ((-5 + 2 + 1)*(-4 + 1 + 1) - 2 - 4 + 4)*(-3*n + 1 - 1)*(-3*n + 2*n + 0*n). 6*n**2 Expand (2*h - 2*h + 2*h)*(-2*h + 2*h + 3*h) + (2*h - 2*h - h)*(2*h + 0*h - h) + 7*h**2 + 13*h**2 - 5*h**2. 20*h**2 Expand 0*o**4 + 2*o**4 + 3*o - o + (3*o - o - 4*o)*(o**3 + 3*o**3 - 3*o**3) + 0*o**4 - 3*o**4 + o**4 + o**4 + 14*o**4 - 5*o**4. 8*o**4 + 2*o Expand (8*c - 4*c + 9*c)*(4 + 2 - 4)*(c - c**2 - c). -26*c**3 Expand (-2*q**2 + 0*q**2 - 5*q**2)*(q**2 - 5*q**2 + 5*q**2). -7*q**4 Expand (-q - 4*q + 4*q)*(-57*q**4 + 35*q**4 + 39*q**4). -17*q**5 Expand (-4*v**3 + 0*v**3 - v**3)*(3*v**2 + 4*v**2 - 5*v**2) + (2*v + 2*v - 2*v)*(-2*v**2 - 2*v**4 + 2*v**2). -14*v**5 Expand ((x - 2 + 2)*(2*x - 3*x + 0*x) - 4*x**2 + x**2 + x**2)*((3 - 4 + 2)*(-2*x + 1 - 1) - x - 4*x + 3*x). 12*x**3 Expand (3*l + 2*l**2 - 3*l + (l + 3*l - 2*l)*(-2*l - 2*l + 2*l) - 4*l**2 + 2*l**2 + 0*l**2 - 3*l**2 - l**2 + 7*l**2)*(1 + 0*l + 2*l + 2*l). -4*l**3 - l**2 Expand (3*n**2 - 5 + 5)*(-2 - 1 - 2). -15*n**2 Expand (2 - 4 + 3)*(-4 - 2 + 4)*(10*l - l - 7*l). -4*l Expand -o + 0*o + 2*o + (2*o - o - 3*o)*(1 + 1 - 4) + (2 - 2 + o)*(-1 - 4 + 2). 2*o Expand -2*u**3 + 2*u**3 + u**3 + (-5 + 3 + 3)*(-3*u**3 - u**3 + 5*u**3). 2*u**3 Expand (3*r - r - 3*r)*(-2*r + 2*r**2 + 2*r)*(23 + 44 + 17). -168*r**3 Expand (-3*w**2 + 5*w**2 + 0*w**2)*(-1 - 10 + 4). -14*w**2 Expand (-4*n + 3*n - n)*(-5*n + 0*n + 3*n) - 5*n**2 + 5*n**2 + 3*n**2 + (0*n - n - n)*(-1 + 1 - n). 9*n**2 Expand (-y**3 - 4*y**2 + 4*y**2)*(1 + 4 - 3) - 23*y + 21*y**3 + 23*y + 2. 19*y**3 + 2 Expand -4*d**3 - 413*d + 413*d + (-4*d**2 + 3*d**2 + 2*d**2)*(5*d - 3*d - d). -3*d**3 Expand 20*d**2 + 10*d - 10*d + (4*d - 5*d - 2*d)*(2*d + 3*d - 4*d + 0*d + 0*d - d + (-1 + 5 - 6)*(d - 2*d + 3*d) + 2*d - 5*d + 2*d - d + 3 - 3). 38*d**2 Expand (3*f + f - 2*f)*(2*f**2 - 4*f**2 + 0*f**2)*(7 + 9*f - 7). -36*f**4 Expand (2 - 3 + 0)*(-2*d - 2*d + 5*d) + (-2 + 4 + 0)*(-3*d + d + 0*d) - 2*d + 4*d - 4*d. -7*d Expand (-3 + 0 + 0)*(3 + 3 - 3)*(3*t**3 + 3*t**3 - 5*t**3). -9*t**3 Expand (0*f**3 + 0*f**3 - 10*f**3)*(-1 + 5 - 3). -10*f**3 Expand -2*y**2 - y**2 + 0*y**2 - y**2 - 3*y**2 + 3*y**2 + (-y**2 + 0 + 0)*(2 + 0 + 0) + 5*y**2 - 3*y**2 - 3*y**2. -7*y**2 Expand (-23 + 2 - 3)*(-6*q + 3*q - 4*q). 168*q Expand (0 + 3 - 1)*(0*o**4 - 2*o**4 + o**4) + o**4 + 3*o**4 - 6*o**4 + 2*o**3. -4*o**4 + 2*o**3 Expand 0*y**2 - 3*y**2 + y**2 + (-2*y + 3*y - 3*y)*(-2*y + 0*y - y) - 1 + 2*y**2 + 1 - 3*y**2 - 1 + 1. 3*y**2 Expand (2 - 3*j**2 - 4 - j + 6*j**2)*(0*j + 0*j + j). 3*j**3 - j**2 - 2*j Expand -4*f + 0*f - 4*f + (2*f + 0*f - 4*f)*(-4 + 6 + 1). -14*f Expand ((0 + 0 - 2)*(1 + 2 - 1) - 6 + 0 + 2)*(h**3 + 3*h**3 - 3*h**3). -8*h**3 Expand (5 + 0 - 3)*(8*w**2 - 7*w**2 + 3*w**2) + 3*w**2 - 2*w**2 + w**2 + w**2 - 4*w**2 + 2*w**2 + (-w + 5*w - 2*w)*(0*w - w - w) + 3*w**2 - 4*w**2 + 0*w**2. 4*w**2 Expand (2*w - 2*w + 2*w)*(-1 - 2 - 1)*(-5*w - w**3 + 5*w). 8*w**4 Expand (-q - 5*q**2 + q)*((0 - 3 + 2)*(-2 + 1 + 0) - 1 + 2 + 3). -25*q**2 Expand 9*z**2 + 47*z - 47*z + (z - z - z)*(4*z - z + 0*z). 6*z**2 Expand (o**2 - o**2 - 2*o**2)*(3 - 22 - 25). 88*o**2 Expand y**5 + 6*y**3 - 2 + 2 - y**3 + y**5 + y**3 + (3*y**4 + 0*y + 0*y)*(-2*y + y - y). -4*y**5 + 6*y**3 Expand (-2 - 2 + 3)*(-3*f + 8*f + 0*f)*(-6 + 3 + 1). 10*f Expand (0 + 0 - 1)*(1 - 1 - 6*r). 6*r Expand (3 + 0 + 0)*(-3*s + 2*s - 2*s). -9*s Expand (-x + 3*x + 0*x)*(5*x**3 - 3*x**3 - 4*x**3) - 4*x**4 + 0*x**4 + 7*x**4 + 0*x**2 + 2*x**4 + 0*x**2. x**4 Expand -2*a + a + 0*a + 0 + 2*a + 0 - 5*a + 2*a + 2*a + (-a + 0*a - a)*(5 - 1 - 2) + 1 - 1 - 2 + 2*a. -2*a - 2 Expand -7 + 3*g + 2 + 6 + (1 + 2 - 2)*(-2*g - 2*g + 5*g). 4*g + 1 Expand 2*y + 4*y + 3*y + (-4*y + 4*y - y)*(-1 - 1 + 3) + y - 6*y + 3*y - y - 2*y + 2*y. 5*y Expand (1 + 1 + 0*x - 2*x)*(-11*x + 19*x + 14*x). -44*x**2 + 44*x Expand (2*m - 2*m - 2*m)*(-5 - 1 + 4)*(1 + 3 - 3). 4*m Expand (-s + s + s**2)*(3*s**2 + s**2 - 3*s**2) + (0 + 1 + 2)*(-2*s**4 - 2*s**3 + 2*s**3) + 2*s**4 + 2*s**4 - 2*s**4. -3*s**4 Expand 3*w**2 - 5*w**2 + 0*w**2 + 4 - 3*w**2 - 4 + (0 - w + 0)*(3*w + 4*w - 5*w) + 3*w**2 - w**2 - w**2 + (-w - 2 + 2)*(0 + 0 + 2*w) - 2*w**2 + 2*w**2 + 3*w**2. -5*w**2 Expand m - 3*m + 5*m + (3*m + 3 - 6 - m)*((-2 + 3 - 2)*(-1 - 1 + 0) + 6 - 1 - 2). 13*m - 15 Expand (-z - z - 3*z)*(13*z**4 + 19*z**3 - 19*z**3). -65*z**5 Expand (11*w + 0*w + 6*w)*(-5 + 4 + 3 + (2 - 3 + 3)*(-3 + 3 + 1) - 1 - 4 + 3). 34*w Expand -3*c**3 + 3*c**3 + 2*c**4 + (c - c - c**3)*(1 + c - 1) - 107*c - 182*c**4 + 107*c. -181*c**4 Expand 2*n**2 - n**2 + 3*n**2 + 1 + n**2 - 1 + n**2 + 4*n**2 - 3*n**2 + (n - 5*n + 2*n)*(3*n + n - 2*n) - 4 - 2*n**2 + 4. n**2 Expand (-88*t**3 - 88*t**3 - 4*t - t**2 - 2 + 173*t**3)*(-1 + 2 + 1). -6*t**3 - 2*t**2 - 8*t - 4 Expand (-7*c - 13*c + 5*c)*(2 - 1 + 0) + c - 3*c - c. -18*c Expand ((-3 + 4 + 1)*(4*a**2 - 4*a**2 - a**5) - 4*a + a**5 + 4*a)*(2 -
{ "pile_set_name": "DM Mathematics" }
+ 1)**2*(h + 2)*(h + 5) Let l(s) be the second derivative of -s**6/1260 - 11*s**5/420 + 13*s**4/42 - 55*s**3/2 - 2*s - 4. Let c(i) be the second derivative of l(i). Factor c(y). -2*(y - 2)*(y + 13)/7 Let b(m) = -m**3 + 15*m**2 - 14*m. Let k be b(14). Suppose k = 13*d - 5*d - 96. Factor d*v**3 + 21*v**5 - 14*v**5 - 11*v**5 + 8*v**2. -4*v**2*(v - 2)*(v + 1)**2 Let y(t) be the first derivative of 2*t**6 - 9*t**5 + 27*t**4/2 - 7*t**3 - 468. Factor y(k). 3*k**2*(k - 1)**2*(4*k - 7) Let o(x) be the second derivative of x**4/6 + 197*x**3/3 - 2687*x + 2. Determine b, given that o(b) = 0. -197, 0 Let r(n) = -346*n + 106*n - 766*n**2 + 769*n**2 + 2880. Let f(q) = 35*q**2 - 2880*q + 34560. Let k(b) = -2*f(b) + 25*r(b). Factor k(s). 5*(s - 24)**2 Suppose 0*r - 5*r + 15 = 0. Let g be (-1687806)/(-1271) + 2/31. Determine d so that -1769*d + 105*d**4 - 123*d**4 - 471*d - g*d**2 + 336*d**r - 800 = 0. -2/3, 10 Let d = -1836531/5 + 367316. Solve 0 + 23/5*r**3 + 1/5*r**4 - d*r**2 + 5*r = 0 for r. -25, 0, 1 Determine n so that -1/3*n**3 - 8/3 - 17/3*n - 10/3*n**2 = 0. -8, -1 Suppose 24*y + 5*y**4 + 20*y + 21*y**3 - 74*y - 24 - 1 + 9*y**3 + 20*y**2 = 0. Calculate y. -5, -1, 1 Let g be (8/(-42))/(2662/(-308) - -8)*(-21)/(-28). Let -32/9*s**2 + 0 + 14/9*s**3 - g*s**4 + 8/3*s = 0. What is s? 0, 2, 3 Let b = 796 + -796. Let t(z) be the second derivative of -2/15*z**6 + b + 2/21*z**7 + 0*z**3 + 13*z + 0*z**2 + 1/3*z**4 - 1/5*z**5. Factor t(x). 4*x**2*(x - 1)**2*(x + 1) Suppose -1734 = -160*q + 1306. Let m(l) be the first derivative of 2*l**2 - q + l**4 + 4*l**3 + 0*l - 4/3*l**6 - 12/5*l**5. Let m(h) = 0. Calculate h. -1, -1/2, 0, 1 Let y be (4/10)/((-8)/(-40)). Suppose -4*i = 3*u - 7, -2*i - 2*u + 4 = y. Find s, given that -12*s**3 + 4*s**2 + 2*s**5 + 9*s**3 + 13*s**3 + 8*s**i = 0. -2, -1, 0 Let d(l) be the first derivative of -14*l**3/15 + 201*l**2/5 + 992*l/5 - 6529. Factor d(a). -2*(a - 31)*(7*a + 16)/5 What is n in 1/8*n**2 - 1873/2*n + 3508129/2 = 0? 3746 Let v = 1718794/54849 + -64/18283. Solve 49/3*b**5 - 49*b**4 - 8/3*b + 0 + v*b**3 + 4*b**2 = 0 for b. -2/7, 0, 2/7, 1, 2 Let c = -636 + 654. Let n be (-8)/(-35)*(135/c - 4). Solve n*g**3 - 2/5*g**5 + 6/5 - 2/5*g + 6/5*g**4 - 12/5*g**2 = 0. -1, 1, 3 Let y(a) be the second derivative of -a - 17/9*a**3 - 2*a**2 - 1/45*a**6 + 19 - 7/30*a**5 - 17/18*a**4. Find s such that y(s) = 0. -3, -2, -1 Let m be (-64)/(-24) + (2/(-3))/1. Factor -12*o**4 + 22*o**3 - 43*o**3 + 6*o**3 - 4*o**m + 4*o**5. o**2*(o - 4)*(2*o + 1)**2 Let c(f) be the first derivative of -f**3/7 + 75*f**2/7 - 1683*f/7 - 9159. Find l such that c(l) = 0. 17, 33 Let w(y) be the second derivative of 2*y**6/15 + 22*y**5/5 + 68*y**4/3 - 1196*y**3/3 + 1014*y**2 - 4261*y. Factor w(f). 4*(f - 3)*(f - 1)*(f + 13)**2 Suppose -8*n = -10*n - 2*l + 12, -5*l + 29 = 4*n. Let q be 162/(-27) + (n - -7). Factor 0 - 2/3*j**5 + 2/3*j**4 - 2/3*j**q + 2/3*j**3 + 0*j. -2*j**2*(j - 1)**2*(j + 1)/3 Let v(c) be the second derivative of -5*c**4/12 + 5975*c**3/6 - 2985*c**2 - 2168*c. Factor v(t). -5*(t - 1194)*(t - 1) Let l = -13339/3 - -4449. Let r(p) be the first derivative of -5*p**2 + 14 + 2*p + l*p**3. Factor r(x). 2*(x - 1)*(4*x - 1) Suppose -34*b + 16 = -188. Let k be 81/b - (20 + -11). Find o such that -3/2*o**4 + k*o**2 + 3*o**3 + 0 + 0*o = 0. -1, 0, 3 Find j such that -13742*j**2 - 32 + 13740*j**2 + 258*j + 215 + 379 - 38 = 0. -2, 131 Find z such that -342/7*z**3 - 3/7*z**4 - 9039/7*z**2 - 41772/7 + 40356/7*z = 0. -59, 2 Let s(l) be the second derivative of l**5/12 + 10*l**4 + 235*l**3/6 - 88*l**2 - 64*l. Let b(y) be the first derivative of s(y). Let b(k) = 0. What is k? -47, -1 Let w(p) be the third derivative of -1/60*p**5 + 0*p**3 + 1/80*p**6 - 1/672*p**8 + 44*p**2 + 0*p**7 + 0*p**4 + 0*p + 0. Find q, given that w(q) = 0. -2, 0, 1 Solve 7305/2*q**2 - 513*q**3 - 3/2*q**4 - 4212*q - 8376 = 0 for q. -349, -1, 4 Let i(o) be the third derivative of o**8/420 - o**7/42 - 7*o**6/90 + o**5/6 + o**4 - 2*o**3 + 51*o**2. Let x(q) be the first derivative of i(q). Factor x(p). 4*(p - 6)*(p - 1)*(p + 1)**2 Let s(y) be the first derivative of -5*y**3/12 + 375*y**2/8 - 1485*y/2 + 10868. Factor s(m). -5*(m - 66)*(m - 9)/4 Let k = 20 + -3. What is z in -6*z**3 + k*z**3 + 0*z**4 - 9*z**3 - 2*z**4 = 0? 0, 1 Let p = 273158 - 169357799/620. Let x = p + -3/310. Suppose 1 + 5/4*d + x*d**2 = 0. What is d? -4, -1 Let m be (-12)/(-10)*(13 - 98/6). Let k be m + ((-33)/(-55) - -4). Factor -1/5*t**2 + k + 2/5*t. -(t - 3)*(t + 1)/5 Suppose -w + 5*x + 7 = 0, 7 = 5*x + 12. Find q such that 1 + 838*q**w - 833*q**2 - 1 + 40*q = 0. -8, 0 Suppose 565*a - 572 + 1776 = 608*a. Let x(m) be the first derivative of -a - 5*m + 0*m**2 + 5/3*m**3. Factor x(o). 5*(o - 1)*(o + 1) Let o = -10790999/450 + 23980. Let g(i) be the third derivative of o*i**5 + 44*i**2 + 2/45*i**3 + 0*i + 0 - 1/60*i**4. Let g(q) = 0. What is q? 1, 2 Factor 1/5*u**3 - 17/5*u**2 - 12 + 76/5*u. (u - 10)*(u - 6)*(u - 1)/5 Let l = 975 - 921. Let p(t) = 3*t - 14. Let r be p(6). Factor 2*k**3 + 7*k**3 - 30*k**2 + l*k**2 + 3*k**r - 27*k**2 - 9*k. 3*k*(k - 1)*(k + 1)*(k + 3) Factor -1/6*z**2 + 4/3*z + 10/3. -(z - 10)*(z + 2)/6 Let q = 81/628 + 19/157. Let n(t) be the third derivative of -q*t**3 + 0*t - 29/160*t**5 - 3/8*t**4 - 23*t**2 - 9/320*t**6 + 0. Solve n(k) = 0. -2, -1, -2/9 Let a(q) = -5967*q + 537032. Let w be a(90). Find l such that -1280/3 - 15820/3*l**w + 8980/3*l + 245/3*l**3 = 0. 2/7, 64 Let r(n) = -3*n**4 + 84*n**3 - 432*n**2 + 24. Let q(c) = -c**3 - 2. Let o be ((-18)/4)/(135/(-360)). Let x(g) = o*q(g) + r(g). Let x(l) = 0. Calculate l. 0, 12 Let w be (-1 - 0)*(28 - -9). Let o = w + 39. Solve 8/17*m + 0 + 2/17*m**o = 0. -4, 0 Let 195/4 - 3/8*z**2 - 189/8*z = 0. Calculate z. -65, 2 Suppose -4*y = -3*m - 10, -2*m - 5*y + 8 = -16. Factor -144*z - 1736 - 39*z - 5*z**m + 13*z + 291. -5*(z + 17)**2 Let p be -222*(-11)/(-3)*(-1)/2. Let j = p + -2019/5. Determine n, given that j*n + 2/5*n**4 + 0 + 12/5*n**3 + 24/5*n**2 = 0. -2, 0 Let h(m) be the second derivative of -m**7/168 + 11*m**6/60 - 41*m**5/80 + 5*m**4/12 + 25*m - 2. What is g in h(g) = 0? 0, 1, 20 Let i be (-35 + (-36)/(-9))*(-134)/10. Let l = i - 413. Factor 0 + l*q - 2/5*q**2. -2*q*(q - 6)/5 Factor 3/2*w**2 + 116427/2 + 591*w. 3*(w + 197)**2/2 Let v(n) be the first derivative of 112*n**3/15 + 331*n**2/5 + 36*n - 294. Factor v(w). 2*(7*w + 2)*(8*w + 45)/5 What is i in 3/2 - 13/4*i - 11*i**2 - 25/4*i**3 = 0? -1, 6/25 Let j(s) be the first derivative of 45 - 1/4*s**4 + 0*s - s**3 - s**2. What is v in j(v) = 0? -2, -1, 0 Let v be 25/(-5) + (411 - -10). Let d be (v/(-1196))/(0 - 2). Suppose 0*f + 0 + 10/23*f**3 + 2/23*f**5 - d*f**2 - 8/23*f**4 = 0. What is f? 0, 1, 2 Let g be (9 - (-2530)/(-264))*76/(-14) + -3. Let w(s) be the second derivative of 1/2*s**5 + 0*s**3 + g*s**6 + 33*s + 5/12*s**4 + 0 + 0*s**2. Factor w(z). 5*z**2*(z + 1)**2 Suppose 95 = 74*i - 55*i. Let m(q) be the first derivative of 8/5*q**5 + 16/3*q**3 + i*q**4 + 2*q**2 + 0*q - 37. Factor m(l). 4*l*(l + 1)**2*(2*l + 1) Let u = -71 - -125. Suppose 0 = -6*z + 4*z + u. Factor -z - 16*k - 10*k - k**2 - 51 - 91. -(k + 13)**2 Let b(f) = f**2 - 82*f + 38. Let l be b(12). Let h = l - -5622/7. Suppose h*i**3 + 2/7*i**4 - 8/7 - 8/7*i + 6/7*i**2 = 0. What is i? -2, -1, 1 Determine v, given that -37 - 1/2*v**2 + 75/2*v = 0. 1, 74 Suppose q - 32 + 6 = 0. Let j = -23 + q. Determine c so that -15*c**2 - 5*c**j - 6*c**2 - 6*c - 10*c**3 = 0. -1, -2/5, 0 Let v be 21/6 + -2 - ((-189)/(-18) + -11). Let y(a) be the second derivative of 16/21*a**3 - 64/7*a**v + 0 - 1/42*a**4 + 41*a. Factor y(p). -2*(p - 8)**2/7 Let q(l) be the first derivative of -16*l**5/5 + 23*l**4 - 56*l**3 + 40*l**2 + 32*l + 8635. Factor q(y). -4*(y - 2)**3*(4*y + 1) Suppose -3*z = -21 + 6. Suppose -5*w = -4*a + 7, 3*a + w + 5 = z*a. Find f, given that 2/5*f**4 + 8*f + 14/5*f**a + 16/5 + 36/5*f**2 = 0. -2, -1 Solve -58/23*l**4 + 0 + 568/23*l**2 + 178/23*l**3 - 40/23*l = 0 for l. -2, 0, 2/29, 5 Let v(a) be the first derivative of a**5/10 - 33*a**4/8 + 121*a**3/2 - 1495*a**2/4 + 1014*a + 3907. Factor v(l). (l - 13)**2*(l - 4)*(l - 3)/2 Suppose 4*g - 76 = -12. Factor -y**4 - 22*y + g*y + 2*y**2 + 3*y**4 + 6*y**3 - 4*y**4. -2*y*(y - 3)*(y - 1)*(y + 1) Let s = 677 + -677.
{ "pile_set_name": "DM Mathematics" }
? 2, 5, 22567 List the prime factors of 282404. 2, 17, 4153 What are the prime factors of 181230? 2, 3, 5, 7, 863 What are the prime factors of 1180187? 463, 2549 List the prime factors of 192163. 59, 3257 What are the prime factors of 921560? 2, 5, 23039 List the prime factors of 423754. 2, 211877 What are the prime factors of 539407? 11, 49037 List the prime factors of 20475. 3, 5, 7, 13 List the prime factors of 11695508. 2, 11, 265807 What are the prime factors of 64745? 5, 23, 563 What are the prime factors of 42443? 42443 List the prime factors of 2157404. 2, 539351 List the prime factors of 1048318. 2, 263, 1993 List the prime factors of 13197772. 2, 7, 139, 3391 What are the prime factors of 701174? 2, 350587 What are the prime factors of 863023? 7, 123289 What are the prime factors of 280328? 2, 67, 523 List the prime factors of 9872477. 31, 318467 What are the prime factors of 1107547? 7, 3229 What are the prime factors of 20292894? 2, 3, 1127383 What are the prime factors of 4422014? 2, 41, 53927 List the prime factors of 6701510. 2, 5, 23, 29137 What are the prime factors of 391770? 2, 3, 5, 1451 What are the prime factors of 9357202? 2, 97, 139, 347 What are the prime factors of 371993? 41, 43, 211 What are the prime factors of 4211714? 2, 13, 23, 7043 What are the prime factors of 3894994? 2, 1947497 What are the prime factors of 16406297? 16406297 List the prime factors of 21416864. 2, 7, 23, 4157 What are the prime factors of 1951668? 2, 3, 17, 1063 List the prime factors of 6444494. 2, 7, 569, 809 List the prime factors of 143757. 3, 15973 What are the prime factors of 9192360? 2, 3, 5, 76603 List the prime factors of 15367232. 2, 240113 What are the prime factors of 699546? 2, 3, 31, 3761 List the prime factors of 2541321. 3, 61, 1543 List the prime factors of 254199. 3, 11, 7703 List the prime factors of 1867780. 2, 5, 47, 1987 List the prime factors of 340061. 340061 What are the prime factors of 4604324? 2, 23, 50047 What are the prime factors of 22402? 2, 23, 487 What are the prime factors of 48903? 3, 16301 What are the prime factors of 8557170? 2, 3, 5, 151, 1889 List the prime factors of 155788. 2, 17, 29, 79 What are the prime factors of 369733? 7, 13, 17, 239 List the prime factors of 546523. 546523 List the prime factors of 28551332. 2, 7137833 What are the prime factors of 3447224? 2, 11, 43, 911 List the prime factors of 3875231. 157, 24683 List the prime factors of 1106058. 2, 3, 83, 2221 What are the prime factors of 38925310? 2, 5, 353, 11027 What are the prime factors of 9445? 5, 1889 List the prime factors of 34168823. 13, 23, 114277 What are the prime factors of 19461806? 2, 7, 13, 61, 1753 What are the prime factors of 95396? 2, 7, 3407 List the prime factors of 250907. 23, 10909 List the prime factors of 93118. 2, 46559 What are the prime factors of 581931? 3, 7, 3079 What are the prime factors of 105723? 3, 17, 691 What are the prime factors of 858046? 2, 7, 167, 367 What are the prime factors of 46652? 2, 107, 109 List the prime factors of 1242137. 13, 95549 What are the prime factors of 2492773? 719, 3467 What are the prime factors of 318842? 2, 159421 List the prime factors of 491850. 2, 3, 5, 1093 What are the prime factors of 266688? 2, 3, 463 What are the prime factors of 12746110? 2, 5, 13, 98047 List the prime factors of 605093. 19, 31847 List the prime factors of 67180. 2, 5, 3359 List the prime factors of 1081291. 1081291 What are the prime factors of 44032? 2, 43 What are the prime factors of 720555? 3, 5, 11, 397 What are the prime factors of 330076? 2, 179, 461 What are the prime factors of 2621264? 2, 17, 23, 419 List the prime factors of 3140045. 5, 151, 4159 What are the prime factors of 5461654? 2, 11, 248257 List the prime factors of 17060651. 19, 97, 9257 What are the prime factors of 7726659? 3, 47, 54799 What are the prime factors of 654943? 654943 What are the prime factors of 1664129? 47, 35407 List the prime factors of 1681589. 7, 13, 17, 1087 What are the prime factors of 2177966? 2, 7, 155569 List the prime factors of 691197. 3, 13, 37, 479 List the prime factors of 3720915. 3, 5, 11, 7517 List the prime factors of 1342755. 3, 5, 53, 563 List the prime factors of 13312011. 3, 4437337 What are the prime factors of 4214500? 2, 5, 8429 List the prime factors of 811989. 3, 83, 1087 What are the prime factors of 115578? 2, 3, 6421 What are the prime factors of 1697407? 1697407 What are the prime factors of 176991? 3, 58997 What are the prime factors of 5415263? 7, 773609 What are the prime factors of 20340510? 2, 3, 5, 23, 41, 719 What are the prime factors of 478580? 2, 5, 23929 What are the prime factors of 142527? 3, 7, 11, 617 What are the prime factors of 2075873? 269, 7717 What are the prime factors of 5915686? 2, 7, 422549 What are the prime factors of 228457? 228457 List the prime factors of 530062. 2, 13, 19, 29, 37 List the prime factors of 259639. 259639 What are the prime factors of 127005? 3, 5, 8467 List the prime factors of 164395. 5, 7, 11, 61 List the prime factors of 2246912. 2, 67, 131 List the prime factors of 214322. 2, 101, 1061 What are the prime factors of 47407? 47407 List the prime factors of 1355882. 2, 11, 61631 List the prime factors of 721987. 7, 103141 What are the prime factors of 4705372? 2, 7, 24007 What are the prime factors of 19666113? 3, 131, 163, 307 List the prime factors of 2697671. 457, 5903 List the prime factors of 391646. 2, 17, 11519 List the prime factors of 330565. 5, 17, 3889 List the prime factors of 4621273. 109, 42397 List the prime factors of 17621846. 2, 11, 800993 List the prime factors of 17370204. 2, 3, 73, 79, 251 List the prime factors of 415704. 2, 3, 17321 List the prime factors of 463141. 7, 109, 607 List the prime factors of 128455. 5, 23, 1117 What are the prime factors of 2436086? 2, 1218043 List the prime factors of 334324. 2, 19, 53, 83 What are the prime factors of 1307596? 2, 23, 61, 233 List the prime factors of 7443531. 3, 47, 17597 What are the prime factors of 26876957? 3433, 7829 What are the prime factors of 50902? 2, 31, 821 What are the prime factors of 136713? 3, 199, 229 List the prime factors of 279406. 2, 139703 What are the prime factors of 663759? 3, 73751 What are the prime factors of 10644268? 2, 2661067 List the prime factors of 3110835. 3, 5, 7, 13, 43, 53 What are the prime factors of 3919420? 2, 5, 195971 List the prime factors of 12507679. 12507679 List the prime factors of 63374. 2, 31687 List the prime factors of 430455. 3, 5, 28697 What are the prime factors of 34715264? 2, 367, 739 List the prime factors of 7941. 3, 2647 List the prime factors of 1076665. 5, 349, 617 What are the prime factors of 64194? 2, 3, 13, 823 List the prime factors of 1131524. 2, 282881 List the prime factors of 12484865. 5, 2496973 What are the prime factors of 189464? 2, 11, 2153 What are the prime factors of 10053? 3, 1117 List the prime factors of 201687. 3, 23, 37, 79 What are the prime factors of 291408? 2, 3, 13, 467 List the prime factors of 22547702. 2, 491, 22961 What are the prime factors of 1920300? 2, 3, 5, 37, 173 List the prime factors of 11984412. 2, 3, 11, 163, 557 List the prime factors of 373175. 5, 11, 23, 59 List the prime factors of 1421753. 31, 45863 What are the prime factors of 21954568? 2, 331, 8291 What are the prime factors of 17043284? 2, 4260821 List the prime factors of 448854. 2, 3, 7, 10687 What are the prime factors of 2274914? 2, 1137457 What are the prime factors of 578002? 2, 289001 What are the prime factors of 2096063? 2096063 What are the prime factors of 561249? 3, 13, 41 What are the prime factors of 62075? 5, 13, 191 List the prime factors of 140965. 5, 11, 233 What are the prime factors of 366740? 2, 5, 11, 1667 List the prime factors of 178210. 2, 5, 71, 251 What are the prime factors of 7027978? 2, 311, 11299 List the prime factors of 157840. 2, 5, 1973 What are the prime factors of 797828? 2, 199457 List the prime factors of 881607. 3, 71, 4139 What are the prime factors of 2207560? 2, 5, 229, 241 List the prime factors of 7193. 7193 List the prime factors of 117464. 2, 14683 What are the prime factors of 1209421? 89, 107, 127 What are the prime factors of 8038999? 1
{ "pile_set_name": "DM Mathematics" }
5*s**2 - 10*s - 3. Let z be h(7). Suppose -21 - 9 = -4*b - 5*u, z = 3*b + 5*u. List the prime factors of b. 5 Suppose 4*l - 5*r - 535 = 0, -3*r - 1 - 8 = 0. What are the prime factors of l? 2, 5, 13 Let h(a) = 2*a**2 + 14*a + 12. List the prime factors of h(-11). 2, 5 Let k = -423 - -604. What are the prime factors of k? 181 Let y(k) be the second derivative of -1/2*k**3 + 0 - 2*k - 3/2*k**2. List the prime factors of y(-6). 3, 5 Let c(q) = -q**2 + 7*q - 3. Let j(r) = r**2 + 8*r - 14. Let o be j(-10). What are the prime factors of c(o)? 3 Let z be 20/6 + 18/27. Let v(d) = d + 3. Let n be v(-3). Let q = n + z. List the prime factors of q. 2 List the prime factors of (-6*27/4)/(24/(-48)). 3 Let q = -34 + 103. What are the prime factors of q? 3, 23 Let q = 5 + -3. Let x be 5 - q - 1 - -3. Suppose 3*g - x - 4 = 0. List the prime factors of g. 3 Let h(l) = l**2 - 8*l - 1. Let b(q) = -q**3 - 4*q**2 - 4*q + 1. Let w be b(-3). Let v be h(w). Let c = 30 + v. List the prime factors of c. 13 Let y be -5*2/(-2)*1. Suppose y*z - 17 = 13. List the prime factors of z. 2, 3 Let v be (0 - 0) + 19 + -2. Let k = v + -10. List the prime factors of k. 7 Let c be 0 - (-1 + 0 + -155). Suppose 0*k - 4*k = -c. What are the prime factors of (2/(-6))/((-1)/k)? 13 Suppose v - 186 = 4*v. Let x = v + 119. Let w = -33 + x. List the prime factors of w. 2, 3 Suppose -4*f + 435 = -f. Let d = f - 75. Suppose 0 = 2*r - 7*r + d. What are the prime factors of r? 2, 7 Let w(l) = 2*l. Let j(f) = f + 1. Let b(q) = -j(q) + w(q). Let y be b(3). What are the prime factors of (7 - y) + 0 + -1? 2 Suppose -5 = -3*r + 5*i - 0, -4*r = 5*i + 40. Let a(j) = -3*j + 5. What are the prime factors of a(r)? 2, 5 Let d be 1/((-3)/3) + 1. Let a = 2 - d. Suppose -a*n + 6*n = 36. What are the prime factors of n? 3 Suppose -9*z + 6*z = 0. Suppose -3*m + 8*m - 100 = z. List the prime factors of m. 2, 5 Let w = 17 + -10. What are the prime factors of 9 - w/((-7)/(-2))? 7 Let g(r) = 3*r**3 + 2*r**2 - r + 1. Let l be g(-2). Let d = -4 - l. List the prime factors of d. 3 Suppose 0 = 2*z - 5*h - 609, 15*z - 579 = 13*z - 5*h. List the prime factors of z. 3, 11 Suppose -13*b - 23 = -14*b. What are the prime factors of b? 23 Let g be (-5)/((-5)/(-3)) + -1. List the prime factors of ((-6)/g + 2)*6. 3, 7 Suppose -c + d = 2*c - 17, -11 = -c + 3*d. Suppose 0 = 3*n - c*n + 10. Suppose r - n*r + 44 = b, 3*r - 52 = 4*b. List the prime factors of r. 2, 3 Let s(h) = h**3 - h**2 + h + 14. What are the prime factors of s(0)? 2, 7 Let a be 724/18 - 4/18. Suppose -m - 4*x = -0 - 4, 4*m + 4*x = a. Suppose z - 25 = -3*i + 2*z, 2*i - 3*z - m = 0. List the prime factors of i. 3 Suppose y = 5*y - 24. Let v be (-10)/y*6/2. Let s = -1 - v. What are the prime factors of s? 2 Let p(v) = v**2 + 2*v + 4. Let u be p(-6). Suppose 0 = -2*b - 3*f + u, f + 0*f + 84 = 4*b. List the prime factors of 6/(-9) + b/3. 2, 3 Let k(i) = i**2 - 2. What are the prime factors of k(8)? 2, 31 Suppose -f = 4*l - 7 - 8, 5*f - 2*l - 31 = 0. Suppose 205 = -2*x + f*x. List the prime factors of x. 41 Suppose 0 = -2*t - t - 12, -3*t = -a + 11. Let y = 4 + a. List the prime factors of y. 3 Let x(n) = n**2 + 8*n + 9. Let s be x(-8). Let m = s + -3. What are the prime factors of (-1)/(-3) + 52/m? 3 Let c(i) = 3*i**3 - 4*i**2 + i + 3. What are the prime factors of c(2)? 13 Suppose -3*j - 282 = -7*a + 4*a, -4*a = j - 401. What are the prime factors of a? 3, 11 Let h = -12 - -37. List the prime factors of h. 5 Let o(n) = n**2 - 11*n + 3. Let z be o(10). Let x = 10 + z. List the prime factors of x. 3 Let d(a) = -a**3 - 13*a**2 - a - 1. Let o(i) = -3*i**2 - i + 1. Let v be o(2). List the prime factors of d(v). 2, 3 Let h be ((-4)/(-10))/(3/15). Suppose -1 = -h*w + 1. Suppose 4*i = 13 - w. What are the prime factors of i? 3 Let u(k) = 4*k**3 + 2*k**2 + 5*k. List the prime factors of u(4). 2, 7, 11 Suppose -3*p = -3*l - 3, -2*l + p = 4 + 1. List the prime factors of (10/(-3))/(l/6). 5 Let j = 89 - 27. What are the prime factors of j? 2, 31 Suppose 0 = 5*c - z - 4, 0*z = 3*c - 2*z - 1. Let t be 2/(c + 0 + -2). Let r(i) = -4*i - 3. List the prime factors of r(t). 5 Suppose -11*i + 297 = -3223. List the prime factors of i. 2, 5 Let j(q) = 3 + 2*q - 2*q**2 + 0*q**2 + 5*q**2. List the prime factors of j(-2). 11 Let i(o) = o**2 + 5*o - 9. List the prime factors of i(-8). 3, 5 Suppose 2*j = -2*j + 12. Let q = j + 4. Let u = q + -5. What are the prime factors of u? 2 Suppose -3*k = 4*u - 287, -2*u = -5*k - 3*u + 467. Suppose -k = -5*g + 2*g. Let p = g + -19. What are the prime factors of p? 2, 3 Let o(k) = k**2 + 2*k + 63. What are the prime factors of o(0)? 3, 7 Let t be 1*(0 + (-2 - -6)). Let s = t - 3. Suppose 15 = 4*u - s. What are the prime factors of u? 2 Let f = 228 + -36. List the prime factors of f. 2, 3 Let c = -3 + 7. Suppose 10 = -c*v + 66. List the prime factors of v. 2, 7 Let c(y) = 9*y**3 + 3*y**2 - y - 1. List the prime factors of c(3). 2, 7, 19 Suppose -v + 135 = 2*v. Suppose 3*k - v = -0*k. List the prime factors of k. 3, 5 Suppose 0 = 4*q - 59 - 329. List the prime factors of q. 97 Let u be 2 + 4/8*0. List the prime factors of 46/u - (-3)/(-3). 2, 11 Let d(b) = 0*b + b + b - 1. What are the prime factors of d(10)? 19 Let z = -7 + 12. Let y = 10 - z. Suppose -2*q + 24 = y*h - 3*h, 0 = 4*q - 5*h - 21. List the prime factors of q. 3 Let b be -2*3/12*-42. List the prime factors of 384/b - 4/14. 2, 3 Suppose -v = -5*v + 8. Let i be v - (1 - -1 - 3). Suppose -5*z + i*z = -24. List the prime factors of z. 2, 3 Let g(t) = -31*t**3 + t**2 - 3*t - 4. What are the prime factors of g(-1)? 31 List the prime factors of 2/(-3)*(-783)/18. 29 Suppose 5*x = 5*d - 20, -2*d = -5*d + x + 20. Suppose 46 = 6*c - d. What are the prime factors of c? 3 What are the prime factors of (-1 + 1)/5 + 11? 11 Let d = -3 - -5. Suppose 0*t = -d*t - 2, 5 = r + 2*t. What are the prime factors of r? 7 List the prime factors of (70/(-15))/((-6)/9). 7 Suppose -3*u = -4*b - u + 118, -2*b = -2*u - 60. List the prime factors of b. 29 Let k = -4 - 1. Let r = -2 - k. Suppose -u + 2*v = -12, v - 33 = -4*u - r. List the prime factors of u. 2 Let f(h) = 3*h**2 - h + 5. What are the prime factors of f(3)? 29 Suppose 0*n + 5*n = p + 33, -n = -3*p - 57. What are the prime factors of 4/p + 260/36? 7 Suppose 77 = 2*s + 3. List the prime factors of s. 37 Let q(b) = b**3 - 8*b**2 - 7*b + 8. What are the prime factors of q(9)? 2, 13 Let y(x) = 3*x + 6. Let s be y(-5). What are the prime factors of 1/((s/(-6))/3)? 2 Let o(x) = x**2 - x + 2. Let d be o(2). Suppose -d*m - i + 10 = 0, 0 = -2*i + 4. Suppose -h + 2*n - 1 = -3*n, 2*h - 6 = m*n. List the prime factors of h. 2 Suppose 4*y = y - 3*v + 15, -5*y = -v - 13. What are the prime factors of 3*7*(y - 2)? 3, 7 Let a be 6/3 + (4 - 1). Let w(r) = r**3 + r**2 + 4. Let p be w(0). Suppose p*y = 3*l + 3, 2*l + 2 = a*y - 7. List the prime factors of l. 3 Suppose -d + 0*o + 2*o + 43 = 0, -129 = -3*d + o. List the prime factors of d. 43 Let l(y) = -y**3 - 4*y**2 - 3*y - 4. List the prime factors of l(-4). 2 Suppose -4*k = -3*k - 59. What are the prime factors of k? 59 Suppose 5 + 9 = c. Suppose -4*p + 26 = -c. List the prime factors of p. 2, 5 Suppose -3*c + 30 = -90. List the prime factors of c. 2, 5 Suppose 0 = -3*u - 2*u + 450. Suppose -2*d - 16 = -t, 4*t + 4*d - u = -d. List the prime factors of t. 2, 5 Let h be 123/12 - 3/12. Let u = h - 1. What are the prime factors of u? 3 Let u be (-5 + 3)*(-7 + 0). Suppose 0*w - u = -2*w. List the prime factors of w. 7 Suppose -4*q + q - 2*b = -857, 0 = q + 5*b - 303. What are the prime factors of q? 283 Let d be (-2 - -20)*(2 + -1). Suppose -o + 4*n + 5 + 25 = 0, o - d = -2*n. What are the prime factors of o? 2, 11 Suppose -182 = -4*w + h - 0*h, 0 = 2*w + 4*h - 82. What are the prime factors of w? 3, 5 Let w be (-4)/6 - (-290)/(-15). Let h = w + 45. List the prime factors of h. 5 Suppose 12*w = 11*w + 4. List the prime factors of -3*6/9 + w. 2 Suppose 5*i + 5 = -0*i - 5*g, -4*g = -2*i + 16. Suppose -4*z = i - 90. List the prime factors of z. 2, 11 Let t be 3*(-10)/(-6) + 0. Suppose 2*k = -3*k - 4*p + 47, 0 = t*p + 10. List the prime factors of k. 11 Let r be (1 - -1)*(-18)/(-12). Let l(t) = -t**2 - 2 - 8 - 11*t - r. What are the
{ "pile_set_name": "DM Mathematics" }
16 = -2*d + 3*d. Let r(h) = 15 - l + h**3 - h**2. What is r(-1)? -2 Let b(z) = 4 - 3 + z - 11*z**3 - 3*z + z**2. What is b(1)? -11 Let c(v) = -4*v - 3*v + 3*v + 5*v - v**2 + 1. Let a be (0/(-2))/1 + 2. Give c(a). -1 Let a(l) = 9*l**2 - l**2 + 0*l + l - 2*l**2. Let q(m) = -m**3 - 4*m**2 - 2*m + 2. Let n = -8 + 5. Let g be q(n). Calculate a(g). 5 Suppose -4*s + 8 = 4*w, 4*w + 28 = -0*s + 5*s. Suppose s*y = -2*q - 4, 6 = q - 3*y + y. Let a(z) = z**2 + z - 2. Calculate a(q). 4 Let t(u) = 3*u - 11. Let r be t(5). Let v(j) = -3*j + 2. Give v(r). -10 Let g = 26 + -16. Let v = g - 14. Let x(u) = -u - 4. Calculate x(v). 0 Let m(h) = h**2 + 7*h - 5. Let v be m(-8). Suppose 0 = -2*f + f - v. Let s(q) = q**3 + 3*q**2 - q + 3. Give s(f). 6 Let v(u) be the first derivative of u**2/2 - u - 1. Let a be 3*(-4)/12*14. Let z be a/4 - 2/(-4). Give v(z). -4 Let u be 1 + (1 - 2) - 0. Let y(i) = -i**3 + i + 1. Suppose -6 = d - 4. Let f(s) = 3*s**3 - 3*s - 3. Let k(v) = d*f(v) - 5*y(v). Determine k(u). 1 Let o(u) = -3*u - 7. Let x(j) = -j - 1. Let h(g) = o(g) - x(g). Suppose -d + 3*n + 51 = -6*d, -12 = -4*n. Let y be (-1)/6 - (-58)/d. What is h(y)? 4 Let g(k) = -2*k + 5 + 2*k - 6 - k**2 + 4*k. What is g(2)? 3 Let n(a) = -a**2 - a - 7. Let t(i) = 1. Let f(r) = -n(r) - 6*t(r). Determine f(3). 13 Let y = 0 + 3. Let i(a) = 2*a - 7. Let s be i(5). Let h(c) = -8*c + s - 1 + y*c. Calculate h(2). -8 Let n(p) = 2*p - 3*p + 0*p - 10. What is n(-6)? -4 Let c(g) = -2*g**2 - g**3 + 5*g - 2*g**2 + 0*g**2 - 3*g. Let j be 12/10*(-10)/3. What is c(j)? -8 Let r(q) = 4*q + 5. Suppose -3*y + 12 = 0, 0 = 3*n + 2*y + y + 3. Determine r(n). -15 Let c(b) = b**2 + 5*b + 5. Let p(w) = -3*w**2 + 5*w + w + 4 + 4*w**2. Let q(z) = -6*z + 8. Let g be q(2). Let u be p(g). Determine c(u). 1 Let z(c) = 4*c**2 + c - 1. Let u = 9 + -8. What is z(u)? 4 Let n(x) = x**2 + x - 6. Let u be n(-4). Let p(j) = -2*j + 2*j - 12 + j. What is p(u)? -6 Let p = -2 - -7. Let h(t) = 3*t**2 + 0*t**2 + t**3 + 18 - 22 - p*t. What is h(-4)? 0 Let u = 15 - 9. Let p be (-5)/(2 - (u - 3)). Let r = 8 - p. Let s(y) = y**3 - 4*y**2 + 2*y + 2. Give s(r). -1 Suppose 4*n = -4, 1 = 2*m - 5*n - 12. Let l(i) = -1 + 2*i**2 - 5*i**3 + m*i**3 - 4*i**2 - 2*i. Give l(-1). 0 Let m be 1/(-2) - (-2)/(-4). Let b(q) be the second derivative of q**5/60 + q**4/24 - q**2/2 + 3*q. Let c(x) be the first derivative of b(x). Calculate c(m). 0 Let v(z) be the first derivative of z**4/4 - 3*z**3 + 5*z**2 + 27. Determine v(8). 16 Let j(u) = 6*u + 1. Let m(f) = -6*f. Let s(w) = -4*j(w) - 3*m(w). Determine s(-4). 20 Let y(g) = 3*g**3 + 17*g**2 + 5*g - 16. Let i(w) = 5*w**3 + 26*w**2 + 8*w - 24. Let m(n) = 5*i(n) - 8*y(n). What is m(6)? 8 Suppose -22 = -4*c + 2. Let l(u) = -5*u + 7. Determine l(c). -23 Let v(a) = -3*a + 1. Let x be (0 + -2)/2 - -3. Let u(w) = 0*w**2 + 4*w - x - 3*w**2 + 4*w**2. Let n be u(-4). Determine v(n). 7 Let w(h) be the second derivative of h**4/6 + 2*h**3/3 + 3*h**2/2 - 14*h - 1. Suppose 4*a = 5*r - 3*r - 14, 5*a + 18 = 3*r. Determine w(a). 9 Let d be (0 + -1)/((-3)/(-18)). Let b(y) = y**2 + 6*y + 2. Determine b(d). 2 Let f be (-77)/(-11) + (1 - -1). Let d(n) = -n + 13. Calculate d(f). 4 Let r be (-14)/3 + 8/12. Let q(h) = -h + 4. Determine q(r). 8 Suppose 0 = 4*t - 12, -2*t + 22 = 3*g - 2. Let c(o) = -o**2 + 8*o - 6. Calculate c(g). 6 Let t(h) = h**2 - 10*h. Suppose 2*b = 8*b - 54. Calculate t(b). -9 Let x be (2 + (2 - 4))/1. Let c(z) = 0*z**2 - 2*z + z + x*z - z**2 - 3*z**3. Let j be 0 + 1/(-2)*2. What is c(j)? 3 Let v(b) = -b. Let q be v(-3). Let a(y) = 1 + 5*y**3 - 2 + 2*y**2 - 5*y**q - 6*y**3. Calculate a(-1). 7 Let x(p) = 3*p - 1. Let t(i) = 8*i - 3. Let j(h) = -4*t(h) + 11*x(h). Give j(0). 1 Let a(n) be the first derivative of -1/24*n**4 + 0*n + 2 + 0*n**2 - 2/3*n**3 - 1/20*n**5. Let z(l) be the third derivative of a(l). What is z(1)? -7 Let g(v) be the first derivative of -v**2/2 - 10*v + 2. Let z be 2/(-3) - (-64)/(-12). What is g(z)? -4 Suppose 2*f = 3*s - 7, s - 2*s + 5*f = -24. Let a(m) = 11*m**2 - m. Determine a(s). 12 Let w(c) = -22 + 11 + 6 + 7 + c. Let r = -7 - -12. Determine w(r). 7 Let l = -5 + 8. Suppose -2*g = -0 - 6. Let z(n) = -1 - 2 + 35*n**3 - 34*n**3 + 6*n - 3*n**2 - g*n. Determine z(l). 6 Suppose 0 = 5*f + 20, -3*w + f = -29 + 10. Let a(g) be the first derivative of g**2/2 - 6*g - 122. What is a(w)? -1 Let f(d) be the second derivative of 0*d**2 + 4*d + 5/24*d**4 - 2/3*d**3 + 1/360*d**6 + 1/20*d**5 + 0. Let u(o) be the second derivative of f(o). Give u(-5). 0 Let i(z) = -z - 16. Let q be i(-12). Let b(c) = 3*c + 6. Determine b(q). -6 Let v(k) = 1 - 6*k + 3*k + 4*k. What is v(-4)? -3 Let b be 3/(-5) + (-13)/(65/(-28)). Let u(n) = -n + 7. Give u(b). 2 Let i(z) = z**2 - 2*z. Suppose -5*r + 9*r = 5*w + 30, 3*w = 5*r - 31. Let f be 2/3*(-3)/w. What is i(f)? -1 Suppose 0 = n + n - 4. Let g(u) = -3*u. Let f be g(n). Let q(p) be the second derivative of p**4/12 + 5*p**3/6 - 7*p**2/2 - 40*p. Give q(f). -1 Let t(c) = c + 1. Let j(b) be the first derivative of b**4/4 - 7*b**3/3 + b**2/2 - 2*b - 3. Let r be j(7). Give t(r). 6 Let m be 21 - -1*(1 - -2). Suppose -4*g = -0 + m. Let z(j) = -j**2 - 5*j. What is z(g)? -6 Let v(k) = k**2 + 15 + 9 + 9 + 4*k - 27. Determine v(-5). 11 Let u(v) = 5*v - 7. Let d(c) = c**3 + c**2 - c + 4. Let b be d(0). Let k(y) = -y. Let w(o) = b*k(o) + u(o). Give w(0). -7 Let v(q) = -14*q**2 - 18*q + 14. Let z(k) = -5*k**2 - 6*k + 5. Let l(g) = 6*v(g) - 17*z(g). Let x = 8 + -2. Determine l(x). -1 Let z = 62 + -63. Let g(x) = -8*x + 1. Determine g(z). 9 Let j be 1/(-4) - (-27)/12. Let u(z) = -z**3 + z**2 - z + 2. Calculate u(j). -4 Let k(u) be the third derivative of 0*u**3 + 1/60*u**5 - 3*u**2 + 0*u - 7/24*u**4 + 0. Calculate k(7). 0 Let k(u) = 2*u**3 - u**2 - 2*u + 1. Suppose w - 6*w + 15 = 0. Let h be 4/(-1 + 0 + w). Calculate k(h). 9 Suppose 10*m = 9*m - 4. Let d(g) = 4*g - 2. Determine d(m). -18 Let i(g) = -5*g + 6. Let j(p) = 5*p - 26. Let w be j(6). Calculate i(w). -14 Let d(b) = -b + 1. Let w(x) = 10*x - 8. Let i(p) = 8*d(p) + w(p). Let f(n) = -n**3 + 7*n**2 + 7*n + 7. Let v be f(8). Calculate i(v). -2 Let x(k) be the first derivative of k**7/840 + k**6/72 + k**5/40 + k**4/8 + 2*k**3/3 - 2. Let f(m) be the third derivative of x(m). Calculate f(-3). 12 Let x(c) = -2*c + 7. Let d(f) = -f + 1. Let y(k) = -d(k) + x(k). Let v be (0 - -1)/1*5. Suppose 0*t = -v*t. Calculate y(t). 6 Let t(a) be the third derivative of -a**6/120 - a**5/12 + a**3/3 - 4*a**2 + 6*a. Calculate t(-5). 2 Let i(z) = 2*z**2 - 2*z + 1. Let t(w) = w**3 + 6*w**2 - 7*w - 2. Let k be t(-6). Suppose 2*l = l, -5*f = 4*l - k. Let o be 6/f + 1/4. Give i(o). 1 Let a be (-2 - 0)/(-4)*-4. Suppose 0 = -5*p + 1 + 4. Let i(z) = 2*z + p + 2*z + 0. What is i(a)? -7 Let b = -49 - -28. Let a be 1/2 - b/(-6). Let t(m) = m + 1. Determine t(a). -2 Let h = -11 - -26. Let g be h/5 - 8/(-2). Let o(q) = q - 11. What is o(g)? -4 Let r(y) = 2*y**2 + 6*y + 5. Let v(a) = a**2 + 3*a + 2. Let p(q) = -4*r(q) + 9*v(q). Let o = -14 + 16. What is p(o)? 8 Let t(o) be the first derivative of -3 + 3/2*o**2 + 3*o. What is t(-3)? -6 Let i(v) = 5*v**3 + v**2 - 4*v - 1. Let k(z) = -9*z**3 - z**2 + 8*z + 1. Let x(t) = -7*i(t) - 4*k(t). What is x(3)? -9 Let c(h) = 2 - h + 3*h - h**2 - 2 + 4. Give c(3). 1 Let o be 2/((-40)/(-15) - 2). Let d(t) = -t**3 + 3*t**2 - 4*t + 1. Give d(o). -11 Let j(v) = 7 + 321*v**3 - 322*v**3 + 5*v**2 - 4. Determine j(4). 19 Let x = -14 - -18. Let f(d) = 3*d + 5. Let q(o) = -o. Let t(b) = x*q(b) + f(b). Let i(s) = -s**3 - 5*s**2 + 4. Let c be i(-5). Give t(c). 1 Let j(z) = 3*z**2 + 2 - 2 - 1. Let g be j(-1). Let i(r) = -4*r + 2*r**2 + 2*r**g - 5*r**2 + 1. What is i(-3)? 4 Let x(q) = q**3 + q**2 - 2*q + 2. Let r(o) = -o**2. Let j(h) = -5*r(h) - x(h). Calculate j(3). 13 Let u(c) = -7 + 0 + 248*c - 250*c. Let o = -8 + 2. Give u(o). 5 Let k(n) = -8*n**3 - 29*n**2 - 10*n - 15. Let i(q) = -3*q**3 - 10*q**2 - 3*q - 5. Let d(h) = -11*i(h) + 4*k(h). Give d(7). -5 Let a(z) be the second derivative of -z**8/3360 - z**7/2520 + z**6/720 + z**5/120 + 5*z**4/12 - 3*z. Let m(p) be the third derivative of a(p). Calculate m(-1). 1 Let x(i) = -4*i**3 + i - 2*i - i**2 - 5 + 5*i**3. Let b(j) = -j**3 - 3*j**2 + 5*j + 4. Let o be b(-4). Suppose o = -4*d + d
{ "pile_set_name": "DM Mathematics" }
xpand (2 + 1 - 4)*(0 - 1 + 2)*(1 + o - 1 + (-2 - 2 + 3)*(1 + 3*o - 1) - o - o + 0*o). 4*o Expand u**3 + u**3 - u**3 + (-2 + 2 + 3*u)*(-3 + 4 + 2)*(-3 + 3 + u**2). 10*u**3 Expand (0 - 3 + 1)*((0*d - 2*d + d)*(2*d**2 + 1 - 1) + d - d + d**3 + 0*d - 6*d**3 + 0*d). 14*d**3 Expand (-2*n**2 + 3*n**2 + n**2)*(-n**2 - 6 + 6) + 5*n**4 - 4*n**4 + 0*n**4 + 5*n**3 - 5*n**3 - n**4. -2*n**4 Expand (t**4 - 3*t**2 + t**2 + 6*t**2)*(1 + 5 - 5). t**4 + 4*t**2 Expand -4*a**3 + 2*a**3 + 4*a**3 + (a + 2*a - 4*a)*(3*a**2 + 3*a + 2*a**2 - 2*a**2). -a**3 - 3*a**2 Expand (4 - c - 4)*(2 - 2 + 2*c)*(-4 - 21 + 2). 46*c**2 Expand (3*l - 4*l - l)*(8*l - 8*l - 4*l) - 3 + 3 - l**2. 7*l**2 Expand (0*x - 3*x + x)*(1 - 1 + 3*x)*(-3*x - 3*x + 5*x). 6*x**3 Expand (2 - 2 - x**2)*(-x**2 + x**3 + x**2) + (-x**2 + 4*x**2 - x**2)*(9*x**3 + 10*x**3 + 6*x**3). 49*x**5 Expand d + 13 - 1 - 5 + (d - 3*d + 0*d)*(2 - 1 + 1). -3*d + 7 Expand (-y + 0*y - y)*(2*y - 1 + 1)*((-y + y + 2*y)*(-y - y + 0*y) + 3*y**2 + 6*y**2 - 3*y**2). -8*y**4 Expand 17*t - t**5 - t**2 - 17*t + (-t**2 + 2 - 2)*(t**2 - t**2 + 2*t**3). -3*t**5 - t**2 Expand ((-1 + 0 + 0)*(-4 + 1 + 2) + 0 + 0 - 2 + 0 + 1 - 5 + 4 + 0 - 2)*(6*y**3 - 2*y**3 - 2*y**3). -6*y**3 Expand (-q + 5*q - 2*q)*(q**2 + 0*q**2 + q**2)*(1 + 4 - 1 + 4 - 1 - 5 + 4 - 3 + 0 + 1 - 3 + 0 + (-1 + 5 - 2)*(0 + 0 + 1) + 0 - 4 + 2). 4*q**3 Expand -5*y**4 + 0*y**4 + y**4 + (-3*y**2 - y + y)*(-2*y**2 + y**2 - y**2). 2*y**4 Expand (-2*m**2 + 3*m**2 + m**2)*(-m + 0*m - 3*m + (2 + 2 - 3)*(m + 0*m - 2*m)). -10*m**3 Expand i**4 - 6*i**4 - 4*i**4 - i**4 + 0*i + 0*i + (i + 2*i - i)*(2*i**3 - 2*i**3 + 2*i**3) - 4*i**3 + 3*i**4 + 4*i**3. -3*i**4 Expand (2 + 5 - 5)*(-2*v**2 + 0*v**2 + 4*v**2)*(12*v + 20 - 20). 48*v**3 Expand (-4*u + 3*u - u)*(2 - 1 + 0) - u - 3*u + 2*u + (0*u + u + 0*u)*(1 + 5 - 5) + 4*u - 21*u + 5*u + (0*u + u - 2*u)*(0 - 1 + 0). -14*u Expand (2*n**2 + n**2 - n**2)*(n - 2*n + 3*n) + (n + 4*n + 5*n)*(5*n**2 - 4*n**2 + n**2). 24*n**3 Expand ((3 - 1 + 0)*(33 - 5*f - 33) + 4*f - 6*f + 9*f)*(-2 - 2*f**2 + 2). 6*f**3 Expand 1646*s + 50*s**3 - 1646*s + (-s**3 + 0*s + 0*s)*(-5 + 3 + 0). 52*s**3 Expand -5*w**3 - 6*w**3 + 0*w**3 + (-4*w - 3*w**2 + 4*w)*(w - 1 + 1). -14*w**3 Expand (3 - 2 + 0)*(3*a - 2*a**3 - 3*a) - 2*a**3 + 3 - 3 - a**3 + a - a + (0*a + 0*a - a**2)*(3*a + a - 3*a) - 3*a**3 + 2*a**3 - a**3. -8*a**3 Expand (1 + 2*i - 1)*(0*i - 2*i + i) + 54 - 13*i**2 - 54. -15*i**2 Expand (-2*s - 1 + 1)*(3*s**4 + s**4 + s**4). -10*s**5 Expand 3*c**5 + 0*c**5 - c**5 + (2*c**3 + 5*c**3 - 3*c**3)*(0*c + 2*c**2 - 2*c - 3*c**2). -2*c**5 - 8*c**4 Expand 2*k - 2*k + 2*k**5 + (k**2 + 3*k**2 - 3*k**2)*(11*k**3 + 8*k**3 - 3*k**3). 18*k**5 Expand 3*o**2 - 4*o**2 - o**2 + (5*o - 4*o - 5*o)*(-4*o + 0*o + 3*o) + o**2 - 2*o**2 + 0*o**2 + (2*o + 2 - 2)*(-4*o + 4*o + o) + o**2 - o**2 + 2*o**2. 5*o**2 Expand ((-3*h + 3*h + 2*h)*(2*h**4 - 2*h + 2*h) - 36*h**2 + 36*h**2 + 14*h**5)*(-2 + 1 - 1). -36*h**5 Expand (-q - 5*q + 5*q)*(2*q**3 - 5*q**3 - q**3) - 2*q**4 + 2*q**4 - 3*q**4. q**4 Expand ((-1 + 4 - 2)*(1 + 0 - 2) + 3 - 1 - 4)*(-n - 2*n + 0*n). 9*n Expand (1 - 1 - 1)*(8 - 8 + 5*w**5). -5*w**5 Expand (-d + 3*d - 11*d)*(2 + 0 + 3). -45*d Expand (3*s**2 + s**2 - 5*s**2 + (s + 5*s - 4*s)*(-2*s - 3*s + 7*s) + 4*s**2 - 2*s**2 - 3*s**2 + 2*s**2 + s - s)*(-3 + 3 - 3*s). -12*s**3 Expand 2*r**5 - r**4 + r**4 - 13*r**5 + 13*r**5 - 9*r**5 + (r**3 - 5*r**3 + 2*r**3)*(-2*r**2 + 6*r**2 - 3*r**2). -9*r**5 Expand (6*w - 3*w - 4*w)*(-w**2 - 2*w**2 + 8*w**2)*(5*w - 4*w + 0*w). -5*w**4 Expand (2*s - 4 + 4)*((-1 + 2 + 1)*(4 - 4 - 2) + 1 + 4 - 6 + 2 - 4 + 3)*(7 - 4*s - 7). 32*s**2 Expand 0*k + 5*k - 3*k - k + 1 - 1 + k + 0 + 0 + (-3 + 2*k + 3)*(-4 - 2 + 5) - 4 + 4 - 2*k + 0*k + k - 7*k. -8*k Expand 13*o**2 - 9*o**2 - 46*o**2 + (4*o + o - 3*o)*(4*o - 4*o + 2*o) + o**2 - 2*o**2 + 2*o**2. -37*o**2 Expand 3*m**5 + 32*m**4 + 3*m**4 - 2*m**5 + 2*m**5 + 0*m + 0*m + (-3*m + m + 3*m)*(4*m**4 - 2*m**4 - m**4). 4*m**5 + 35*m**4 Expand (-1 - 1 + 1)*(-15*z**4 - 2*z**3 - z + 6*z**5 + 15*z**4). -6*z**5 + 2*z**3 + z Expand (2*n**2 - 4*n**2 + 4*n**2)*(2 - 2*n**2 - 2) - 4*n**4 + n**4 + 2*n**4 + n**4 + 0*n**2 + 0*n**2 + (-1 - 2*n**2 + 1)*(0*n + 0*n + n**2). -6*n**4 Expand -2 - 13*b**2 - 273*b + 273*b + 0*b**2 + 3*b**2 - 2*b**2 + (-2*b**2 + 4*b**2 + 0*b**2)*(-1 + 2 - 2). -14*b**2 - 2 Expand 3 + 3*u**2 - 3 + (-u + u + u)*(0 + 0 + 2*u) - 2*u + 2*u + u**2 + 4*u**2 - u**2 - u**2 + 2. 8*u**2 + 2 Expand (-q - q + 3*q)*(-q - 2*q + 4*q) + 4*q - 4*q + 2*q**2 + (2*q - 3*q + 4*q)*(2*q + 1 - 1) + (2*q - 2*q - 4*q)*(0*q + 0*q + q). 5*q**2 Expand (-4*l**2 + l**2 + 5*l**2)*(-4 + 5 - 17). -32*l**2 Expand (-5*r**2 + 4*r**2 + 4*r**2)*(3 - 4 - 1) + (0 - 4 + 2)*(-r**2 - 2*r**2 - r**2) - 3*r**2 + 3*r**2 + 2*r**2 + (-r**2 - 3*r**2 + 2*r**2)*(-2 - 3 + 3). 8*r**2 Expand (1 - 1 - 2)*(0*h**3 - 3*h**3 + 2*h**3) + (-100*h - 20*h**2 + 100*h)*(-3*h + 5*h - h). -18*h**3 Expand -4*v - 13*v + 4*v + (1 - 1 + v)*(2 - 6 + 5). -12*v Expand (-2*x + 4*x + 0*x)*(-3 + 3 - 2) + (0*x + x - 2*x)*(1 - 3 + 5) + 2*x - 3*x + 4*x. -4*x Expand 0*x**3 - 2*x**3 + 0*x**3 + 3*x**3 + x**3 + 0*x**3 - 3*x + 3*x + 2*x**3 + (3 - 4 + 2)*(3*x**3 + x**3 - 3*x**3). 5*x**3 Expand (-3 - 3 + 4)*(0 + 1 - 3)*(-2*b**2 - b**2 + 0*b**2). -12*b**2 Expand (2*v**3 - 3*v + 3*v)*((-v + 4 - 4)*(5 + 5 - 8)*(0 + 1 + 2) + (2*v + 2 - 2)*(-3 + 1 + 4)). -4*v**4 Expand (3 - 7 + 2*m + 3)*(-1 - 1 + 0) + 2*m + 4 - 4 + (-1 + 2 + 0)*(0*m - 4*m + 2*m) + 1 - 1 - 2*m. -6*m + 2 Expand (-2 + 5 - 1)*(3*n + 0*n - 2*n)*(-5 - 5 + 4). -12*n Expand (0 + 0 - 10)*(-8 + 8 + 2*i). -20*i Expand -n + 7*n + n + (4*n - 3*n + 0*n)*(-1 + 3 - 1) - 5*n + 3*n + n + (1 + 1 + 0)*(0 + n + 0). 9*n Expand (-5*o + 4*o - o)*(4*o**3 + 0*o**3 - 5*o**3) - 15*o**4 - 25*o**2 + 23*o**2 - 2*o**4. -15*o**4 - 2*o**2 Expand (-4*z - 9 + 9)*(1 - 1 - z + (1 + 2*z - 1)*(-3 - 1 + 3)). 12*z**2 Expand -m**3 - m**3 + m**3 - 9*m**3 + 122*m - 122*m + (-2 + 2 - 2*m)*(-m**2 + 2*m**2 + 0*m**2). -12*m**3 Expand 3*s + 0*s + 0*s + (-1 - 1 + 4)*(3*s - 2*s + s) + s + s - 3*s + 0 + 2*s + 0. 8*s Expand (0 + 0 - a)*(0 + a**3 + 0) + 5*a**4 + 16*a**4 - 7*a**4. 13*a**4 Expand (2*h**2 - h**2 - 5*h**3 - 5*h**2)*(-1 - 4*h + 4*h + h). -5*h**4 + h**3 + 4*h**2 Expand (r**3 - 14*r + 13*r + 2*r**3)*(-4*r - r + 4*r). -3*r**4 + r**2 Expand (-5 - 5 + 2*v**2 + 0)*(-2*v + 0*v + 3*v) + v**3 + 3*v**3 - 2*v**3. 4*v**3 - 10*v Expand -10*o**3 + 38 - 38 + (2*o**2 + 0*o + 0*o)*(-4*o + 2*o + 0*o). -14*o**3 Expand 13 + 2*s**2 - 13 - 2*s + s**2 + 2*s + 2*s**2 + 0*s**2 + 0*s**2 + (-s**2 + 2*s**2 - 2*s**2)*(-1 - 4 + 4) + 2*s**2 + 4*s - 4*s. 8*s**2 Expand (5 + 3 - 5)*(0 - 13*j + 2 + 10*j). -9*j + 6 Expand (8*f - 3*f + 0*f)*((2 + 2 - 3)*(f + 2*f - f) - 3*f + 4*f + 0*f). 15*f**2 Expand (4 - 2 + 0)*(0*h + 0*h + 2*h) - 2*h + 4*h - 3*h - 3*h + 2*h + 3*h - 13*h - 18 + 18. -8*h Expand (3*h - h + h)*(2*h + 5*h**2 - 4*h - 4*h**2). 3*h**3 - 6*h**2 Expand (-11*f**3 - 1 + 1)*(-1 + 3 - 4) + 0*f**3 - 3*f**3 + 8*f**3. 27*f**3 Expand (3*k**3 + 0*k**3 - 4*k**3 - 2*k**2)*(0*k**2 - 10*k**2 - 3*k**2). 13*k**5 + 26*k**4 Expand (4 - 1 - 1)*(1 - 6 + 7*l + 1). 14*l - 8 Expand (o**2 - 4*o**2 + o**2)*(2 - 2 + 6*o**3 + (o + 5*o - 4*o)*(5*o**2 - o**2 - 3*o**2)). -16*o**5 Expand -v**3 - v**3 + 0*v**3 + (-10 + 3*v + 10)*(4*v - 4*v**2 - 4*v). -14*v**3 Expand (7*v + v - 2*v)*(1 + 1 + 0)*(3 - 2 + 0) - v + 0*v + 2*v. 13*v Expand ((-2*z**2 + 2*z**2 + 2*z**2)*(z + 2*z - z) + 2*z**3 + z**3 + 0*z**3)*(-2*z + 5*z - z) + (0*z + z + z)*(-5*z**3 - 2 + 2). 4*z**4 Expand 7*u**5 + 11 + 2*u**5 - 7*u**5 + (2 - 2 - 2)*(u**5 + u**5 - 4*u**5) - 2*u**5 - u**3 + u**3. 4*u**5 + 11 Expand (0 + 0 - f)*((5*f - 4*f + f)*(-2 + 3 - 3) + f - 2*f + 2*f). 3*f**2 Expand (-11*j + 5*j**3 + 11*j)*(-3 + 3 + 1)*(0*j - 2*j + 4*j)*(-j - 3*j + 2*j). -20*j**5 Expand (2 - 3 + 3)*(0*c + c - 4*c)*(3*c - 3*c + c**2 + (0 - 2 + 0)*(2*c**2 - 4*c**2 + c**2)). -18*c**3 Expand (2*n**3 + 2*n**3 - 2*n**3)*(0*n + 0*n + 4*n). 8*n**4 Expand w**3 - 2*w**3 + 2*w**3 + (3*w - w**3 - 3*w)*(0 - 1 - 1) - 4*w**2 + 3 - 1 - 295*w**3 + 294*w**3. 2*w**3 - 4*w**2 + 2 Expand (-2 + 3 - 2)*(-17*w + 17*w + 30*w)*(-6 - 1 + 4). 90*w Expand (5 - 2 - 6)*(2*p + 0 + 0) + 0*p + 0 + 2 - 2*p. -8*p + 2 Expand (0 - 2 + 1)*(-1 - 1 - 2)*((3 + 2*o - 3)*(-4*o**3 + o**3 + 2*o**3) - 2*o**4 + 0 + 0 - 3 - 2*o**4 + 3). -
{ "pile_set_name": "DM Mathematics" }
s positive. i**(-1837/45) Simplify ((k*k**(-5/6)*k*k)/k**(-10))/((k/(k*k**(-1/6)*k))/(k/(k*k/k**20))) assuming k is positive. k**32 Simplify (g*g*g**12*g/(g**13/g))/(g/g**5*g)**47 assuming g is positive. g**144 Simplify ((g*g**(-1/7))/(g*g*((g**(1/10)/g*g*g)/g)/g*g*g))/(g**(5/4)*g**3/g) assuming g is positive. g**(-769/140) Simplify (a*a**(-2/5))**(-47)/(a**(4/3))**8 assuming a is positive. a**(-583/15) Simplify s**(9/7)/s**(-3/8)*s**(-3)*s**(-4/3) assuming s is positive. s**(-449/168) Simplify (n**(6/17))**(-2/43)/(n*n**(7/8)*n/n**(2/5)*n) assuming n is positive. n**(-102089/29240) Simplify ((b*b*(b*b**19*b*b*b)/b)/b*b/(b**8*b))/((b/(b/((b/(b/(b**(2/3)/b)))/b))*b*b)/b**(1/7)) assuming b is positive. b**(304/21) Simplify (t**(-4/3))**44/(t/t**(-2/11))**(2/127) assuming t is positive. t**(-245950/4191) Simplify (v/(((v*v/(v**4*v))/v)/v))**10/(v**10/((v*v**(-3))/v)) assuming v is positive. v**47 Simplify ((v**(-2)*v/(v/(v/(v**6/v))))**37)**0 assuming v is positive. 1 Simplify (p*p*p**(-18)*p**(-8/5))**(3/5) assuming p is positive. p**(-264/25) Simplify w**(-20)/(w**(2/9)*w)*w**20/(w*w**(-1/43)) assuming w is positive. w**(-851/387) Simplify ((c*c**(-5))/c**0)**(-6) assuming c is positive. c**24 Simplify ((u**(-14/5))**(-4/15))**(2/9) assuming u is positive. u**(112/675) Simplify (w**13*w**(4/9)/w)/(w**(-21))**6 assuming w is positive. w**(1246/9) Simplify ((a*(a*a*a/(a*a**(-1/2)*a*a))/a)**40/((a/a**(-2/3))/a*a*a*a/a**(-5)))**(-37) assuming a is positive. a**(-1258/3) Simplify (n/n**(1/2)*n*n)**(-3/4)/((n**24/n)/n*n/(n*n**(10/3))) assuming n is positive. n**(-493/24) Simplify u**(-5)/u**(1/23)*u**(-22)*u**(-2/27) assuming u is positive. u**(-16840/621) Simplify ((l/(l**(-9/5)*l))/(l/(l**(12/11)*l)))**(-5/2) assuming l is positive. l**(-159/22) Simplify (f/(f/(f**(1/2)/f)))**(-46)*(f*f*f*f*f/(f*f*f/(f/(f/(f*f/((f**(13/5)/f*f)/f)*f)))*f)*f*f*f)**(-5/19) assuming f is positive. f**(410/19) Simplify ((n**(2/11)*n*n)/n)**(-46)*(n*(n*n/n**26)/n)/n*n*n**(23/4) assuming n is positive. n**(-3195/44) Simplify a**28/a*a**(-24)*(a/(a*a**(-9/2)))/a**(-27) assuming a is positive. a**(69/2) Simplify (((((o/(o/(o/(o*o**0))))/o)/o)/(o/(o/o**(2/5))))/((o*o/(o**1/o))/(o/(o*o*o/o**(1/5)))))**(28/9) assuming o is positive. o**(-868/45) Simplify (r**(11/4)/r)/((r/(r**13/r))/r)*(r*(r/(r*r**(1/2)))/r*r*r*r)/(r/r**29) assuming r is positive. r**(177/4) Simplify (((((s/(s**(1/7)/s*s))/s)/s)/s)/(s/((s*s**6)/s))*(s/s**(1/3))/s*s/s**(3/5))**(-1/46) assuming s is positive. s**(-307/4830) Simplify (k**12)**(2/13)/(k**24*k/k**5*k) assuming k is positive. k**(-249/13) Simplify ((z/z**(-2))**(-18/5)/(z**2/(z**(-8)*z)))**32 assuming z is positive. z**(-3168/5) Simplify ((j**(-8)/j)/j*j*j**(-1/55)/j)/(j**(8/3))**39 assuming j is positive. j**(-6271/55) Simplify (c**1)**(2/3)*c*c*((c*c*c**(-8)/c)/c)/c*c/((c**(-2/3)/c*c)/c) assuming c is positive. c**(-11/3) Simplify ((r/(r**(-3/17)/r))/(r/(r*r**20*r*r)*r*r))/(r*r**(-17)*r*r**(-5/2)) assuming r is positive. r**(1349/34) Simplify (i*i/(i*i**(-1/11)*i)*i/(i*i**(-1/6))*(i**(3/5)/i*i)/(i**(2/21)/i*i))**(-2/55) assuming i is positive. i**(-587/21175) Simplify (w*w/w**0*w)**25/(w**(-3)/(w**(-2/7)*w)) assuming w is positive. w**(551/7) Simplify (l**(-2/9)*l**(10/9))**(-14) assuming l is positive. l**(-112/9) Simplify ((s*s**(1/2))/(s*s**(-6)*s))/(s**3/(s/s**(-1))) assuming s is positive. s**(9/2) Simplify (w*w**(-2/59)/w*w*w*w/((w/(w/w**(-3/17))*w)/w))/(w/w**(19/2))**(-1) assuming w is positive. w**(-10747/2006) Simplify (m/(m*m/((m*m**(1/4))/m)*m*m))/m**(-6)*m**9/(m*m*m**(-2/3)*m*m*m) assuming m is positive. m**(95/12) Simplify (y**(-2/9)/y**2*y/(y/y**(4/7))*y*y**(-6))**(6/25) assuming y is positive. y**(-838/525) Simplify j**(-2/3)/(j/j**(-1/2))*(j/(j**1*j))**(3/2) assuming j is positive. j**(-11/3) Simplify (l**(-5))**2*l**(2/15)*l**(-4/3) assuming l is positive. l**(-56/5) Simplify (g**(-5)*g/(g/g**8))**(-7/3) assuming g is positive. g**(-7) Simplify ((c**(1/2)/c*c*c)/c**3*c**1/c**(-4/5))**(-34) assuming c is positive. c**(-51/5) Simplify ((q*q/(q*q**(-3/5)))/q*q)/((q**(-3/5)*q*q)/q)*(q**(-13)*q)/q**6 assuming q is positive. q**(-84/5) Simplify ((((u*u**(-11/2))/u)/u)/u**(-6/29))/(u**(-1/2)*u)**(-1/34) assuming u is positive. u**(-12381/1972) Simplify ((u**(2/5)*u)**(-11)/(u/u**(-2))**(6/17))**(-13) assuming u is positive. u**(18187/85) Simplify ((b*b**(3/4))/b**(2/23))/(b*b**(-1/7))**(-1/29) assuming b is positive. b**(31611/18676) Simplify (i**(-9)/((i/i**18)/i*i*i))/(i**(-2/29))**32 assuming i is positive. i**(267/29) Simplify (j**(-10/7)/(j**(1/4)/j))**21 assuming j is positive. j**(-57/4) Simplify ((g/g**(15/4))/g)/g**(1/24)*((g*g/(g*g*g**27*g*g*g)*g)/g)/g*g**18/g assuming g is positive. g**(-427/24) Simplify ((w**(-1/3)/w)**(-29)/((w/w**(1/8))/(w/(w**8/w))))**(1/19) assuming w is positive. w**(763/456) Simplify ((u**1*(u*u*u/(u/(u/(u/((u**(-2)*u)/u)*u))))/u)**(4/3))**8 assuming u is positive. u**(-32/3) Simplify (t*t**3)**(-26/9)*((t/(t*t**2))/t)**36 assuming t is positive. t**(-1076/9) Simplify (p/p**(3/5))**16*(p/(p**(-1/3)*p))**(-25) assuming p is positive. p**(-29/15) Simplify (a**0*a)**(4/21)/(a**18/(a**(-14)*a*a)) assuming a is positive. a**(-626/21) Simplify (t*(t*t**(3/2))/t*t*t*t)/(t*(t/((t**(-1/3)*t)/t)*t)/t)*(t/(t*t*t/t**7*t))/(t**(-2)*t) assuming t is positive. t**(49/6) Simplify s**(-9)*s*s**(2/7)*(s*s**(2/7)/s*s)**(21/5) assuming s is positive. s**(-81/35) Simplify (s*s**(-3/23)*s**23)/(s**(-21))**(-19) assuming s is positive. s**(-8628/23) Simplify (o/(o*o*o**(-3)/o*o))**(-1/22)/((o/o**9*o*o)/o*o/(o*o**10)) assuming o is positive. o**(186/11) Simplify z**(-1/9)*z**(1/19)*(z**6)**(-3/20) assuming z is positive. z**(-1639/1710) Simplify (((c*c*c**(1/4))/c**(-2))/(c*c/c**(-5)*c**(-2/15)))**28 assuming c is positive. c**(-1099/15) Simplify ((y**(-2/19)*y)/y**(3/7))/(((y/(y/y**(8/7)*y))/y*y*y*y)/y**10) assuming y is positive. y**(1107/133) Simplify (g/g**(-7/4))**37*(g**(-1/28)*g)/((g/g**26*g)/g*g*g) assuming g is positive. g**(880/7) Simplify ((((j*(j*(j/(j/(((j*j**(-1/6))/j)/j)))/j)/j)/j)/j)**25)**45 assuming j is positive. j**(-7125/2) Simplify (m*m/(m*m/(m/((m**(-2/3)*m)/m)))*m)**(-3/10)*m**(-2/9)*(m/(m*m*m**(-2)))/m assuming m is positive. m**(-46/45) Simplify (((l/(l*(l*l*l*l/(l**(-5/4)*l)*l*l)/l*l))/l**4)/((l*l**(1/3))/(l/(l/l**2))))**(1/40) assuming l is positive. l**(-23/96) Simplify (d/d**5*d)**38*(d/d**(-20))/(((d*d**(-12))/d)/d) assuming d is positive. d**(-80) Simplify u**(-11/3)*u*u**37*(u**(-26))**(-18) assuming u is positive. u**(1507/3) Simplify ((g**2)**(-9)/(g**7/(g*g*g**(-3/8)*g)))**(1/45) assuming g is positive. g**(-179/360) Simplify (y**(-11)/y*y*y**18)/(y/(y*(y*y**(-13/5)/y*y)/y)*y*y**(3/5)) assuming y is positive. y**(14/5) Simplify (h*h**(3/8)*h*h**(-19))/(h**(-24/5)/(h/h**31)) assuming h is positive. h**(-1673/40) Simplify (x/(x**(-1/2)/x))**(-21/8)/((x**(-4/3)/x)/x)**(19/3) assuming x is positive. x**(2095/144) Simplify n**(-3/5)*n*n/(((n/(n*(n**(-1)*n*n)/n*n*n))/n)/n)*(n/(n*n**(-1))*n)/n**(2/43) assuming n is positive. n**(1581/215) Simplify ((g**(-12))**(2/53))**(-37) assuming g is positive. g**(888/53) Simplify (y**(-6/5))**(4/19)/(y*y**(-1/22))**(-41) assuming y is positive. y**(81267/2090) Simplify (((c/(c**(1/16)*c))/c)/c**14)/((c*c**(-3))/((c/((c/(c*c/((c/(c*c*c*c**24/c*c))/c)))/c))/c*c)) assuming c is positive. c**(271/16) Simplify (w**(-1/14)/w**(2/5))/(w**8*w*w/((w*w*w*w/w**(-23)*w*w)/w)*w) assuming w is positive. w**(1157/70) Simplify ((z**(-1)*z*z**(-4)/z)/((z*z*z**(-2/5))/((z*(z*z**(1/6))/z)/z)))**(-18) assuming z is positive. z**(579/5) Simplify (v/(v/v**2))/(v/((v**(1/6)/v*v)/v))*v**(-15)*v**(2/17)/v assuming v is positive. v**(-1603/102) Simplify ((z/(z/(z**(-1/4)/z)))**(-12/7)/(z**(-7)/(z/z**(2/5))))**(4/27) assuming z is positive. z**(1364/945) Simplify (q/(q/q**(3/5))*q*q**(2/7)/q*(q/(q**0*q))**(6/35))**(-12) assuming q is positive. q**(-372/35) Simplify (t/t**(-1/5)*t/(t/t**(7/6)))/(t**(-2/7))**9 assuming t is positive. t**(1037/210) Simplify d**(-1/6)*d**15*d**(-12)/d*d*d**(-1/14) assuming d is positive. d**(58/21) Simplify (x**18/(x/(x*x**(-1/2)*x*x)))/(x**(-6)*x*x**5/x) assuming x is positive. x**(41/2) Simplify (o**(6/11)*o**(-30))/((o*o*o**25)/o)**15 assuming o is
{ "pile_set_name": "DM Mathematics" }
, -1, -0.2? 1/9 What is the closest to -4 in 4, -0.3496, -1/6, -2/3, 1? -2/3 Which is the closest to 2/37? (a) -202/5 (b) -1/6 (c) 61 b What is the closest to 1/10 in 3, 0.04, -3.52, -13/3? 0.04 Which is the nearest to 0? (a) 0.1 (b) -45 (c) 1 (d) -7 (e) -307 a Which is the closest to 1? (a) 1070 (b) 1.1 (c) 77 b What is the nearest to 1 in 0.05, 1/2, 697, -911, 1? 1 What is the closest to -2/7 in -2, 1.15, 334702? 1.15 Which is the nearest to -1/3? (a) -2/13 (b) -0.2 (c) 6930888 (d) 4 (e) 5 b Which is the closest to -2/41? (a) 0.3 (b) 7/2 (c) -0.9 (d) -5 (e) 0.44 a What is the closest to -2/7 in 197, -2/43, 1, -5, -0.007, -1? -2/43 Which is the nearest to 0? (a) 36.696 (b) 0.3 (c) 160 b Which is the nearest to -0.2? (a) -4 (b) -126 (c) 3/4 (d) 1/4 (e) -104 d Which is the nearest to -2/19? (a) -24.116 (b) 2/161 (c) 0.5 b Which is the closest to 84? (a) -18 (b) -0.102089 (c) 1/3 c What is the closest to 0 in 17716, -2, 0.3, 234/5, -1? 0.3 Which is the closest to 12? (a) 3/4 (b) 1331 (c) 0.03 (d) 7 d Which is the closest to 2? (a) 14474 (b) 2/5 (c) -2 (d) -3 (e) -1/4 b What is the nearest to 1 in -6/7, 3/13, -0.3, 7, -0.0314? 3/13 Which is the closest to -9? (a) 7 (b) 0.95 (c) -96 (d) -8 (e) -1 d What is the closest to -6/7 in 5, 2/11, 117147? 2/11 Which is the nearest to -1/2? (a) -0.3 (b) 5 (c) -35.8 (d) 1036 (e) -14 a Which is the closest to 6? (a) 358 (b) -2/9 (c) -7 (d) 2/17 (e) -3/7 (f) 2/51 d Which is the nearest to 2/7? (a) -6 (b) -97 (c) 0.5 (d) 3/7 (e) -278 d What is the closest to 110/13 in 23, 27, -108, 0.4? 0.4 What is the closest to 39 in 1/4, -16.23, -1.4, -0.2? 1/4 Which is the nearest to -1? (a) -252.2 (b) 24 (c) -5 (d) 0 (e) 0.5 d Which is the closest to 2/3? (a) 373/2 (b) 1/3 (c) -30/11 (d) -325 b Which is the closest to 0.1? (a) 3/14 (b) -12/2665 (c) 6 b What is the nearest to -5 in 0.3, -308.6, 0.9, 3? 0.3 Which is the closest to -90? (a) -0.3 (b) -4.51 (c) 600 b Which is the nearest to 0.2? (a) 5 (b) 0.5 (c) 35 (d) -0.104 (e) -2/25 e Which is the nearest to -2? (a) 59 (b) -85 (c) -13 c What is the nearest to 55 in 3, 2/11, -2.5, -111? 3 What is the closest to 72.1 in 3/14, -0.3, 19? 19 Which is the closest to -167? (a) -0.4 (b) 322 (c) 698 a Which is the nearest to 1/4? (a) 56528.4 (b) -3/13 (c) -0.4 b Which is the nearest to 12? (a) -2/49 (b) -0.1 (c) 123 (d) -3 (e) 34 (f) -1 a What is the closest to 1/65 in -0.1, 3, -94/55? -0.1 Which is the closest to 0.4? (a) -3 (b) -3/26 (c) -0.5 (d) -12 (e) 3/4 (f) -6/5 e What is the nearest to -3 in 17823, 4, 0.2, -6, 5? -6 What is the closest to 1/2 in 1, 0.1, -2988.7, 1/3? 1/3 Which is the closest to 0.2? (a) 9 (b) 2 (c) 18 (d) -73.5 (e) -5 b What is the nearest to 5 in -4, -0.2, -8337, 0? 0 What is the closest to -268 in 2/3, -1, -7, -11, 8? -11 Which is the closest to 1? (a) -0.1 (b) -2 (c) 0.550874 (d) 12 c What is the closest to -2/7 in -4, 0.6399, 0, -7? 0 Which is the nearest to -2/5? (a) -1/7 (b) -33024714 (c) 0.5 a What is the closest to -1/13 in -0.3, -4, 14802, 7, 1/2, 4? -0.3 Which is the closest to -6? (a) -12 (b) -2/9 (c) 3372 (d) -1/6 (e) 4 b What is the nearest to -20 in 6/77, -28, -692? -28 What is the nearest to -10995 in -4, 181, -2, 0.1? -4 Which is the nearest to 1.3? (a) -12 (b) 2/25 (c) -1/6 (d) 517 (e) -7 (f) 0.03 b Which is the closest to 0.6? (a) -2051 (b) -1 (c) -2/5 (d) 1/30 d Which is the nearest to 6? (a) -2225 (b) 5 (c) -0.07 b What is the nearest to 0.1 in 2834, -0.09, 0.4? -0.09 What is the closest to 525 in 5, -2/5, 2, 45/11? 5 What is the closest to -55.24 in 3, -8.8, 5/3, 5, -5? -8.8 Which is the closest to 0.5? (a) 1/2 (b) -957055 (c) -0.3 (d) 1/4 (e) -2/9 a Which is the nearest to -0.1? (a) -4 (b) -1 (c) -53709 (d) -2.9 b Which is the closest to -55.8? (a) -0.2 (b) 57 (c) -274 a Which is the closest to 0.1? (a) 8008 (b) 5 (c) -0.256 c What is the closest to 3 in -0.3, 7/9, -348, -15? 7/9 What is the closest to -1 in -51.9, 5/4, 0.049, 3, -81? 0.049 What is the nearest to 387/7 in 0, -5, -2/51, -343? 0 What is the closest to 41 in 2/11, -1/31, -0.22, -0.5, 43? 43 Which is the closest to 7? (a) -2 (b) -3.89 (c) -30 (d) -0.4 (e) 0.2 e Which is the closest to -4/11? (a) 3 (b) 7/3 (c) 18 (d) -0.1 (e) -161 d What is the closest to 1 in -2, -0.037, -43/2? -0.037 Which is the closest to -2/29? (a) -3 (b) -0.5 (c) -0.4 (d) -25/2072 d Which is the nearest to 66/7? (a) -5 (b) -28 (c) -17 a What is the nearest to 61 in 12, -3/58, -49.3? 12 Which is the closest to -0.2? (a) 0 (b) 0.3 (c) -615/4 (d) -0.3 (e) -201 (f) 18 d What is the closest to -3 in 25/14, -88, -0.053? -0.053 What is the nearest to 414770 in 11, -1/2, 2, 0.2, -2? 11 Which is the closest to 1? (a) -3 (b) -0.011 (c) 0.1 (d) -23559 (e) 7 c What is the closest to 0.1 in 5445529, -9, -0.2, -3? -0.2 What is the nearest to 146 in -5, 2/3, 163? 163 Which is the nearest to -1/3? (a) 4 (b) 0.2 (c) -49 (d) -783 b What is the nearest to -0.1 in 0, 3.174, 579, -5, -5/2, 2? 0 What is the nearest to -16 in -0.4, -3, 4/11, 0, 0.99? -3 Which is the closest to -1? (a) -4/7 (b) -5 (c) -247 (d) 94 (e) 0.11 a What is the closest to 0.01 in -32, -15/19, -0.5, -0.09? -0.09 What is the nearest to -2 in 15, 6, 4, 49, 2/101, -3/5? -3/5 Which is the closest to -1/4? (a) -1/7 (b) -5586 (c) 0.29 (d) 8/15 (e) -3 (f) 3 a Which is the nearest to 16? (a) -24 (b) 10 (c) -9/2 b Which is the nearest to 62.29? (a) 0.14 (b) 3/4 (c) 3/11 b Which is the closest to 2/3? (a) 60 (b) 8573.8 (c) -0.2 (d) -1 c Which is the nearest to 3/10? (a) -3207/4 (b) 1/2 (c) -0.5 b What is the closest to 1/9 in 2, 5/3, 1234.25, -2/5, -1, 0.4? 0.4 Which is the nearest to 30? (a) -10/17 (b) 0.5 (c) 0.07 (d) 5 (e) -1/51 d What is the nearest to 3.8 in -4, 1/6, -2/3, 4, 441? 4 Which is the nearest to 1/173? (a) -1/2 (b) -1.8 (c) 21 a Which is the nearest to 0.2? (a) -9 (b) -15 (c) -1/90 (d) -3 (e) -18 c Which is the closest to 3? (a) -2 (b) -180251 (c) -0.6 c Which is the nearest to 24718? (a) -1/4 (b) 2/5 (c) -1 b What is the closest to 21 in 2/231, 0.2412, 0.4, -0.4? 0.4 Which is the closest to 0.1? (a) -14 (b) 0.06 (c) 1987 (d) -2/5 b What is the nearest to 5905 in 0, -12, 2, -1.5? 2 What is the closest to -1/4 in 6, -3/8, -1361, 44.6? -3/8 What is the closest to -4 in 32/27, 4/3, 9/4, -4/9? -4/9 Which is the closest to 2? (a) 119 (b) 2/9 (c) -57 (d) -2/7 (e) 0.2 b What is the nearest to 1/2 in 35.3, -69, -1/29? -1/29 What is the closest to -1/8 in 0.01, -2, 5/3, -23, -20? 0.01 What is the closest to -1 in -69748, 0.4, 274, -1/9? -1/9 What is the closest to 49 in -31, 1/16, 21, -0.13? 21 Which is the closest to 17? (a) -2 (b) 2 (c) 1813 (d) -0.09 b Which is the closest to -4513? (a) 2 (b) -6 (c) -0.5 (d) -3 (e) 0 (f) -0.2 b Which is the closest to -11? (a) 1/6 (b) -7518 (c) 1.8 a Which is the nearest to 1/7? (a) 4 (b) 27 (c) 3/4 (d) -254411 c Which is the nearest to -2/5? (a) -7/5 (b) 21982 (c) -5 (d) 2/21 d Which is the nearest to 6? (a) 0 (b) 1 (c) 0.12 (d) -2.2 (e) 2/19 b Which is the closest to -0.2? (a) 51 (b) 5 (c) -0.3 (d) -3/11 (e) 0 (f) -37 d Which is the closest to 52? (a) 4148 (b) 3 (c) 7 c What is the nearest to -2.9 in -1, 4, -230, -2/3, -3? -3 Which is the closest to 1/2? (a) 1 (b) -4/5 (c) 1/39 (d) 15524 c Which is the closest to -177? (a) -117 (b) -5 (c) 3/4 a Which is the closest to -0.1? (a) -1 (b) -3 (c) 2 (d) 2/5799 (e) -26 d What is the nearest to -14 in -3, -1342, 1/3, 5? -3 Which is the nearest to -2? (a) -2/3 (b) 185 (c) 69/11 a What is the nearest to 0.12 in -8.26, -0.5, -5, -1? -0.5 Which is the nearest to 4? (a) 2.88 (b) 0.03 (c) 1 (d) 0.3 (e) -1/2 a Which is the closest to 143/9? (a) 0.4 (b) -3 (c) -39/2 (d) -2/197 a What is the closest to 0.2 in -1/37351, -2, 0.3, 41, 1? 0.3 Which is the closest to 53.236? (a) 2/15 (b) 1/8 (c) 5 c Which is the closest to -2/3? (a) -61 (b) 44 (c) 77 (d) 22 d What is the nearest to -2/5 in 2, 0.0279, -1, -4, 0.27345? 0.0279 Which is the closest to -2/3? (a) 0.1 (b) -0.1 (c) 40 (d) 34/3
{ "pile_set_name": "DM Mathematics" }
20 = 5*t for a. -1 Solve -2691*w + 2695*w - b - 23 = 0, 4*b + 7 = -w for w. 5 Solve 3*v - 129*r + 18 = -135*r, -2*r - 6 = -v for v. 0 Solve -202 = g + 5*x - 212, 5*x - 25 = 2*g for g. -5 Solve -4*t - 45 = -5*y, 2*t = y + 156 - 171 for t. -5 Solve -31*q + 27*q - 67 = -5*w, 0 = -3*q - 5*w + 46 for q. -3 Solve y + 2*s - 10 = 0, 16*s + 2 = -5*y + 19*s for y. 2 Solve r - 17 = -2*i - 5, 2*r + i = 12 for r. 4 Solve 47*w - 102*w + 50*w - 17 = 3*j, 0 = -5*w + j - 1 for w. -1 Solve -656*w + 660*w - 89 = c, 3*w = 2*c + 73 for c. -5 Solve -19 = 5*k + 3*x, 4*x - 250 = -242 for k. -5 Solve -3*x - 22 = 5*f, 10 = -3*f - 1417*x + 1416*x for f. -2 Solve 4*l - b + 315 = 311, 3*l = 5*b - 37 for l. 1 Solve 0 = f + 3*q - 4, 1535*f - 1539*f - 6*q + 10 = 0 for f. 1 Solve -97*d = -100*d + 4*m - 12, 3 = -d + m for d. 0 Solve 0 = 5*x - 2*l + 10, -45*x + 96*l = 93*l + 90 for x. -2 Solve 2*m = 6*a - 35 - 15, -2*a = -41 + 21 for m. 5 Solve 3*j + 230*q - 28 = 226*q, 28 = 4*j - 4*q for j. 8 Solve 207 - 213 = 3*s + 3*p, s - 5*p + 2 = 0 for s. -2 Solve -4*f - 32 = 0, -5*w - 2*f - 113 = -102 for w. 1 Solve 4*c - 77*s + 73*s = -60, -4*s + 55 = -3*c for c. -5 Solve 13918*z = -4*f + 13923*z + 4, -24 = -5*f + 11*z for f. -4 Solve 0 = -5*s - 3*g + 18, 19*g = -2*s + 15*g + 10 for s. 3 Solve -4*p + 22 = s, p - 1432178 = -s - 1432168 for p. 4 Solve -3*g + 4*g = 2*a + 12, 716*g = 3*a + 717*g + 13 for a. -5 Solve 25*y - 2 = 27*y + s, 0 = -4*y + 2*s - 4 for y. -1 Solve 2*z = -b + 5, z + 5216 - 5214 = -5*b for b. -1 Solve 3779*h = -2*r + 3775*h - 20, 0 = -3*r - 3*h - 42 for r. -18 Solve -3*x + 3*c = 6, 12 = -x + 56*c - 60*c for x. -4 Solve -4*z = -2*s + 10, -10*z - 1 = -3*z + 2*s for z. -1 Solve -12 = -j - 3*l, -19765*l - 22 = 4*j - 19767*l for j. -3 Solve 5*t = 2*b + 26, -18755*t + 24 = -3*b - 18750*t for b. 2 Solve -3*d - 4 = -4*b, 5*d - 8*b = -13*b - 65 for d. -8 Solve -2*s = -2*f + 16, 6*s + 42 = 3*f + 9 for s. -3 Solve -5*c + 10 = -12*k, -4*k + 4*c = -25 + 33 for k. 0 Solve -5*j + 9 = -4*d, -24*d - 3*j = -44*d + 22*d - 1 for d. -1 Solve 5*h = 2*q + 10, -55*h + q + 5 = -59*h for h. 0 Solve 15*h + 69 + 27 = -3*n, -4*h - 28 = 0 for n. 3 Solve -16*i + 14*i = -5*h - 15, -i + 6*h = -11 for i. 5 Solve 4 = j, 79*y + 3*j = 78*y + 11 for y. -1 Solve -172*w = -173*w + 21*c + 121, -5*w = 5*c + 55 for w. -5 Solve b - 1225 + 1231 = -w, 25 = -5*b for w. -1 Solve -5*r = u - 14, 3*r + 2*u = 9 - 2 for r. 3 Solve -34 = -2*g + 4*u, -3*g - 11789 = 4*u - 11780 for g. 5 Solve 0 = 5*r + 4*q + 4, 0 = 231471*r - 231459*r - q - 1 for r. 0 Solve 9*u = c + 25, -14*u = -15*u + c + 1 for u. 3 Solve g + 4*j - 8 = 0, -3*g + 4*j - 7208 + 7200 = 0 for g. 0 Solve 4*x + i - 28 = 0, 8*i + 1 = x + 9*i - 12 for x. 5 Solve -3*p - s = 38, 19*s + 65 = 6*s for p. -11 Solve 0 = q + 2*r + 28027 - 28046, 3*r = -2*q + 29 for q. 1 Solve -4*k + 20 = -2*g, 15*g - 14*g - 3*k = -14 for g. -2 Solve 5*p + 17 = -4*s, -5*p - 815*s - 15 = -810*s for p. -5 Solve -4*o = -l - 12, -2*o + 2*l + 179 = 173 for o. 3 Solve -4*t = -3*v - 16, -200*t + v = -205*t + 20 for t. 4 Solve 5*d - 3*k - 19 = 0, 0 = -44*d + 42*d - 4*k - 60 for d. -4 Solve -19 = -f + 3*n, n + 14 = -2*f + 17 for f. 4 Solve 51*v + w = 55*v + 3, -2*v - 5*w = 29 for v. -2 Solve 5*x - 128 = 2*z - 41, 4*z = 4*x - 60 for z. 4 Solve -4*u + 7 = -4*s - 17, -4*s - 19 = u for u. 1 Solve 4*o - 50 = -k - 41, 3*k + 5 = -4*o for o. 4 Solve 8*s = -3*q - 48, -1335 = -5*s + 3*q - 1326 for s. -3 Solve 18*v = -3*q + 387, -3*v + q - 29 = -89 for v. 21 Solve -69*o - 1 = 2*l - 72*o, -5*l = o + 28 for l. -5 Solve -3*k = 11*m - 10*m + 1, 4*k = -3*m + 2 for m. 2 Solve 2*d + 4*d = 3*x + 21, 0 = 4*x - 10*d + 106 - 72 for x. -1 Solve -3*w + 19 = -5*b, 4*b = 5*w + 33 - 56 for w. 3 Solve 23*s - 6*w = 22*s + 131, 10*w + 195 = -3*s for s. 5 Solve -40 = 5*j - 2*a, 14*j - 3*a + 34 = 13*j for j. -4 Solve -n = -353*c + 348*c - 6, 6*n - 36 = 5*c for c. 0 Solve -5*c - 25 = 0, 5*g - 10*c - 25 - 20 = 0 for g. -1 Solve -4 = -n, -3*q + 0 - 11 = -8*n for q. 7 Solve -163 + 126 = -3*t - 4*p, -16 = -4*p for t. 7 Solve 4*g - 169 = -153, 5*c - 4*g + 86 = 0 for c. -14 Solve -53*p = -53*p + 14*p - 4*t + 78, 16 = -2*p + 3*t for p. -5 Solve -2*t + 9 = 13*j - 14*j, 21 = -j + 5*t for j. -1 Solve 2 = 3*z + m, -5*z + 7 = -11*m + 9*m for z. 1 Solve -5*z = -3*r + 2*r - 4084 + 4059, -20 = -5*z for r. -5 Solve -t = -5*i + 9, 4*i - 94*t + 36 = -95*t for i. -3 Solve -13 = -4*n - b, 0 = -3*n - 2*b + 66 - 30 for n. -2 Solve -21 = -g - 4*v, -1560*g - 7 = -1557*g - 2*v for g. 1 Solve 4*p - 44 = -5*f, 255*f + 14 = 257*f + p for f. 4 Solve -17 = 1036*g - 1034*g - 3*m, 3*m - 19 = 4*g for g. -1 Solve 0 = -s + 2*y - 11, -245*s - 1 = -242*s + 2*y for s. -3 Solve 5*v + 16*t = 13*t - 33, 16*v + 5*t + 101 = 0 for v. -6 Solve 4*r - 5*g - 24 = 0, -g - 6 = 12545*r - 12547*r for r. 1 Solve 4 = 4*c, -2020*d - 3*c = -2021*d - 8 for d. -5 Solve -6*f + 29 = 2*f - 5*s, 3*s - 3 = -2*f for f. 3 Solve -4647*k = -4642*k - l - 6, -5*k = 3*l - 2 for k. 1 Solve g - 3*h = -12, -164*h + 28 = -5*g - 165*h for g. -6 Solve -533*y = -531*y + 4*r - 80, -4*r = 4*y - 72 for y. -4 Solve -4*t - 8 = 0, -7*i = -5*i + 35*t - 31*t + 14 for i. -3 Solve -t = -4*g - 15, 270*t = 4*g + 267*t + 13 for g. -4 Solve -5*x + 20 = 0, 0 = 3*v - 1156*x + 1158*x - 2 for v. -2 Solve 4*f + 14 = 2*k, 20825*k + 19 = -5*f + 20827*k for f. -5 Solve -137*s + 3*y + 49 = -132*s, 10*y + 30 = 0 for s. 8 Solve -3*a - 3 = 0, 2*a + 17 = -4*j - 1 for j. -4 Solve 2*d + 757*p = 759*p - 8, -5*d = 3*p + 28 for d. -5 Solve 23 = 45*y - 49*y - 5*h, y = -4*h - 14 for y. -2 Solve 0 = -3*v + 3*o + 3, -334 = -2*v - o - 329 for v. 2 Solve -6*a - 4*r + 18 = 0, -232*r + 233*r = 3 for a. 1 Solve g - 19 = 5*t, 0 = 31*g - 26*g - 20 for t. -3 Solve -586*k - 3*l = -592*k + 27, 3*l + 13 = -k for k. 2 Solve -4*q - 3*t - 89 = -61, -2*q - 3*t = 20 for q. -4 Solve -7 = 4*t + z, 0 = 10*t - 0*z - 5*z + 85 for t. -4 Solve -2*t + 2 = 4*l, 1231 = -4*t - 2*l + 1223 for t. -3 Solve 35*v + 2*s = 57*v - 88, 0 = -4*v - 2*s + 16 for v. 4 Solve 5*h + 11 = -3*t, -3819*h + 3821*h = 5*t + 8 for h. -1 Solve -5*k - 35 = 3*q, 205*k + 14*q = 200*k - 90 for k. -4 Solve 7991 - 8004 = -5*j + 2*u, -15*j + u + 44 = 0 for j. 3 Solve -5*x + 36 = -4*h, -154*x + h = -155*x for x. 4 Solve 5*s + 4 - 19 = 0, -3*z - 2*z + 5*s = 0 for z. 3 Solve 4*b - 3 = -3*u, 14 = 4*u + 2254*b - 2252*b for u. 5 Solve -3*d + 3 = 0, 0 = 2*s - 14*d + 16*d - 6 for s. 2 Solve j = 2*o - 2336 + 2343, -4*j = -2*o - 16 for j. 3 Solve 451*i + 4*o = 446*i + 1, 2*i = 3*o + 5 for i. 1 Solve 3*h + i = 0, h + 954*i - 953*i = 2 for h. -1 Solve -4*d = -2*m + 36, 2*m = -243*d + 245*d + 32 for d. -2 Solve 40*q - 3*o = 44*q + 40, -3*o = 24 for q. -4 Solve g - 6 = 2*z, -g - 45*z + 48*z = -7 for g. 4 Solve -17*s = -3*s - u - 70, -4*u + 5 = s for s. 5 Solve -47*z = -26*z + 4*y + 5*y + 81, 2*y = -2*z - 10 for z. -3 Solve 44*r = 48*r + 5*n + 8, -4*r - 3*n = 8 for r. -2 Solve -4*s + 2*l = -23284 + 23278, s = -l + 6 for s. 3 Solve -3*c = -3*i + 3, -4*c - 148 + 129 = i for i. -3 Solve 2*o - 3 = x, 13*o = -2*x - 68 + 45 for x. -5 Solve 0 = -3*c - z + 34, 484*c - 56 = 480*c + 4*z for c. 12 Solve -4*r + 8 + 3 = -y, 4*r + 5*y - 41 = 0 for r. 4 Solve 2*w - 10 = 4*b, 3*b - 78*w + 24 = -82*w for b. -4 Solve c - 308 = 5*b - 289, 3*b = -2*b - 20 for c. -1 Solve 3*p - 4*y + 13 = 0, 33*p - 30*p - 2*y = -23 for p. -11 Solve 1881*d - 1883*d = -4*y - 8, -3*d - 15 = 3*y for y. -3 Solve -2*a = 3*j - 24, 109*j = 105*j - 3*a + 35 for j. 2 Solve 0 = -31*k - 4*u - 89, -k - 26 + 24 = u for k. -3 Solve 0 = -3*l + 14*c - 194 + 234, 4 = -l - 4*c for l. 4 Solve 9 = -2*p + 3*c, 18540*p = 18548*p - c + 25 for p. -3 Solve 7*o + 4*f - 3 = -12, 2*f + 6 = -2*o for o. 1 Solve 2005*h - 3*l + 11 = 2007*h, 35 = -15*h + l for h. -2 Solve 3*b + q + 8 = 0, 5*q + 3 - 5 = -b for b. -3 Solve -1683*l + 1680*l - w + 9 = 0, l - 5*w = 19 for l. 4 Solve -3*s = 2*c - 12, 8 = 5*c - 3*s - 1 for c. 3 Solve -2*z + 2*f + 10 = 0, -z - 4181*f + 4180*f - 9 = 0 for z. -2 Solve 10*u + 3*m + 32 = 6*u, 4*u + 4*m = -40 for u. -2 Solve 4*i - 75*d + 1 = -78*d, -3*d = -5*i - 35 for i. -4 Solve 5*c = -5*m - 130, -21 = 8276*m - 8275*m - 4*c for m. -25 Solve 5*j + 3*v + 21 = -9, 0 = -5*j + v - 30 for j. -6 Solve 4*f - 3*v = 2, -4086 + 4088 = -4*f + v for f. -1 Solve -1021 +
{ "pile_set_name": "DM Mathematics" }
alculate l(19). 19 Let o(v) = v**2 + 129*v + 2526. What is o(-24)? 6 Let w(p) = -4*p**2 + 192*p - 1441. What is w(38)? 79 Let a(t) = -t**2 - 76*t - 981. Calculate a(-12). -213 Let p(f) = -f**2 + 60*f - 461. Calculate p(20). 339 Let b(z) = 10*z**2 - 95*z - 93. Calculate b(-1). 12 Let z(p) = -p**3 + 32*p**2 - 65*p + 141. Give z(30). -9 Let h(d) = -2*d + 13. What is h(-6)? 25 Let i(o) = -o**2 - 22*o - 29. Determine i(-20). 11 Let q(n) = -21*n - 680. Determine q(-29). -71 Let s(b) = -3*b**3 + 191*b**2 + 63*b + 92. Calculate s(64). 28 Let p(g) = 314*g + 33291. Calculate p(-106). 7 Let m(i) = i**3 + 3*i**2 + 6*i - 5. What is m(3)? 67 Let h(f) = 942*f + 3757. Determine h(-4). -11 Let n(d) = 38*d + 71. What is n(8)? 375 Let c(n) = n**3 + 58*n**2 - 140*n - 1217. Determine c(-60). -17 Let m(s) = 7*s**2 + 2067*s + 2066. Give m(-1). 6 Let l(b) = b**2 + 110*b + 390. What is l(-4)? -34 Let m(j) = j**3 + 46*j**2 + 110*j + 2927. Calculate m(-45). 2 Let w(d) = -62*d + 1059. What is w(18)? -57 Let f(b) = b**3 - 6*b**2 - 62*b - 29. Determine f(12). 91 Let h(f) = f**3 - 63*f**2 - 130*f + 7. Give h(65). 7 Let i(c) = -c**3 + c**2 + 70*c + 101. Give i(-7). 3 Let r(b) = -4*b**3 - 271*b**2 - 199*b + 114. Give r(-67). -20 Let g(m) = m**3 - 3*m**2 - 12. Give g(-3). -66 Let k(d) = -2*d**3 + 13*d**2 + 64*d - 405. Determine k(5). -10 Let b(c) = -3*c**3 + 210*c**2 - 211*c + 332. What is b(69)? 56 Let d(a) = -a**3 + 12*a**2 - 6*a - 5. Give d(6). 175 Let d(i) = -139*i + 1371. What is d(10)? -19 Let d(m) = -9*m**3 + 1359*m**2 - 14. Give d(151). -14 Let x(b) = -1513*b - 15130. Calculate x(-10). 0 Let z(g) = -32*g + 29. What is z(-7)? 253 Let o(z) = -3*z**2 + 113*z - 117. Give o(37). -43 Let w(f) = -2807*f - 16824. What is w(-6)? 18 Let y(n) = 49*n + 2664. Give y(-55). -31 Let x(c) = -42*c + 1003. What is x(27)? -131 Let y(w) = 36*w - 221. Calculate y(6). -5 Let m(r) = -67*r + 1183. Calculate m(18). -23 Let c(b) = 2*b**2 + 188*b + 3897. Calculate c(-63). -9 Let r(f) = -7*f**2 - 18*f + 5. What is r(4)? -179 Let r(j) = -j**2 - 375*j - 35151. Give r(-186). 3 Let b(a) = -258*a + 45932. What is b(178)? 8 Let c(b) = -328*b + 6219. Calculate c(19). -13 Let j(o) = -17*o**2 + 75*o. Give j(5). -50 Let m(o) = o**3 + 25*o**2 - 58*o - 102. Give m(-26). 730 Let b(q) = 151*q + 17597. Give b(-117). -70 Let u(i) = i**3 - 2*i**2 + 13*i - 87. Calculate u(4). -3 Let s(l) = l**3 + 17*l**2 + 2*l + 71. What is s(-17)? 37 Let h(x) = -7*x**3 - 182*x**2 - 4*x - 159. Calculate h(-26). -55 Let w(j) = -7*j - 232. Calculate w(-35). 13 Let p(k) = -k**3 + 109*k**2 + 121*k - 1213. Calculate p(110). -3 Let d(h) = -3*h + 10. Calculate d(-10). 40 Let l(k) = -k**3 + 2*k**2 - 6*k - 55. Calculate l(0). -55 Let a(m) = 81*m + 28. Calculate a(-1). -53 Let y(i) = -4*i - 37. What is y(-16)? 27 Let v(k) = 189*k - 1934. Calculate v(10). -44 Let x(u) = 51*u - 616. Determine x(10). -106 Let m(n) = 77*n - 5469. Give m(71). -2 Let h(y) = y**3 - 16*y**2 + 60*y - 1. Determine h(10). -1 Let l(m) = -2*m**3 + 14*m**2 - 143*m + 999. Give l(7). -2 Let r(v) = 831*v - 8316. Determine r(10). -6 Let b(n) = -51*n**3 + 1480*n**2 - 21*n - 237. Give b(29). -5 Let b(a) = a**3 + 20*a**2 + 224*a + 1047. Calculate b(-8). 23 Let i(h) = 3*h**2 - 41*h + 73. Determine i(3). -23 Let j(s) = 55*s + 881. Determine j(-16). 1 Let b(l) = l**3 + 31*l**2 + 106*l - 87. Determine b(-27). -33 Let r(j) = 380*j - 8722. Give r(23). 18 Let d(h) = -3*h**2 + 734*h - 5672. Determine d(8). 8 Let p(n) = -52*n - 154. Calculate p(-3). 2 Let i(f) = 3*f**3 + 2*f**2 - 9*f - 5. Calculate i(2). 9 Let d(t) = -8*t**2 - 68*t - 265. Give d(-11). -485 Let z(t) = 482*t + 3455. Calculate z(-7). 81 Let f(v) = -v**3 + 3*v**2 + 11*v - 40. Give f(6). -82 Let k(s) = -2778*s + 5492. Determine k(2). -64 Let q(u) = 28*u**2 + 168*u - 9. Calculate q(-6). -9 Let a(z) = 2*z**3 - 139*z**2 + 59*z + 265. Give a(69). -425 Let y(u) = -68*u - 6931. What is y(-102)? 5 Let g(i) = -i**2 + 114*i + 849. Give g(-7). 2 Let s(u) = -u**2 + 127*u + 535. What is s(-4)? 11 Let v(x) = 37*x**2 + 1003*x - 920. Determine v(-28). 4 Let r(p) = p**3 - 76*p**2 - 3887*p + 223. Calculate r(111). 1 Let d(r) = r**3 + 10*r**2 + 7*r + 95. Give d(-11). -103 Let v(x) = 7*x**2 - 1058*x - 39306. Determine v(182). 6 Let w(l) = -37*l - 2521. Determine w(-68). -5 Let f(k) = -2*k**2 + 261*k - 1664. Give f(124). -52 Let j(g) = 741*g - 4203. Determine j(6). 243 Let z(a) = -a**3 - 6*a**2 - 30*a - 174. Give z(-6). 6 Let t(o) = -6102*o + 30462. What is t(5)? -48 Let n(g) = -g**3 - 73*g**2 - 68*g + 4. Calculate n(-72). -284 Let z(y) = 19*y**2 - 1867*y + 498. What is z(98)? 8 Let o(x) = -4*x**2 - 161*x + 1700. Determine o(-49). -15 Let d(t) = 9*t**3 - 3*t**2 + 13*t - 6. Calculate d(2). 80 Let h(w) = -217*w - 27549. Determine h(-127). 10 Let k(q) = -q**2 - 14*q - 19. What is k(-21)? -166 Let y(w) = 2*w**3 + 139*w**2 + 68*w - 67. Calculate y(-69). 2 Let d(y) = -y**3 + 10*y**2 - 8*y + 68. Give d(9). 77 Let g(n) = -n**3 + 35*n**2 + 30*n - 10. Determine g(36). -226 Let y(j) = -j**3 - 9*j**2 - 21*j - 22. Determine y(-2). -8 Let t(o) = -o**3 + 51*o**2 - 149*o + 13. What is t(3)? -2 Let v(k) = 8*k**2 - 212*k + 329. Determine v(25). 29 Let d(u) = 2*u**3 - u**2 + 9*u - 49. Give d(0). -49 Let v(n) = 131*n - 165. Give v(2). 97 Let d(z) = -z**3 + 11*z**2 - 174*z + 3521. Calculate d(15). 11 Let z(m) = -4*m**2 - 244*m - 1122. What is z(-5)? -2 Let k(w) = -w**2 + 81*w - 1328. Calculate k(58). 6 Let y(b) = 88*b - 56. Calculate y(5). 384 Let r(q) = 5*q**3 - 3*q**2 - 4*q. Determine r(-2). -44 Let q(f) = -f**2 - 4*f - 48. Determine q(-9). -93 Let c(t) = -143*t + 10288. Determine c(72). -8 Let o(u) = -5*u**3 + 186*u**2 - 40*u + 103. Give o(37). -8 Let i(p) = 216*p + 1794. What is i(-8)? 66 Let b(z) = -729*z - 7280. Calculate b(-10). 10 Let u(o) = 2*o**3 + o**2 - 4*o + 5. What is u(0)? 5 Let g(i) = -45*i - 3. What is g(-4)? 177 Let p(b) = 263*b + 4706. Give p(-18). -28 Let m(o) = 152*o**2 - 6*o - 1. What is m(-1)? 157 Let s(t) = 14*t**2 + 880*t - 3499. Give s(4). 245 Let s(u) = -u**3 - 11*u**2 + 9*u + 97. What is s(-11)? -2 Let w(p) = 374*p - 362. Determine w(1). 12 Let f(o) = -11*o**2 + 16*o + 35. Determine f(-2). -41 Let w(v) = v**3 - 84*v**2 + 1569*v - 29. Give w(28). -1 Let p(g) = 2*g**3 + 100*g**2 + 90*g - 401. Calculate p(-49). -9 Let z(w) = -6*w**2 + 2*w + 1. Determine z(-2). -27 Let y(o) = -o**2 - 51*o + 1529. Calculate y(-72). 17 Let a(h) = -2*h**2 - 3*h + 118. Calculate a(9). -71 Let v(u) = -u**3 + 2*u**2 + 20*u + 5. What is v(0)? 5 Let o(q) = -q**2 + 7*q + 364. Calculate o(-17). -44 Let q(t) = -454*t + 10438. Determine q(23). -4 Let o(f) = 3*f**2 - 1686*f + 3363. What is o(2)? 3 Let v(s) = s**2 + 10*s - 559. Give v(21). 92 Let k(a) = 7*a**3 - 3*a**2 - 6*a - 4. What is k(4)? 372 Let h(j) = 20*j**2 - 116*j - 8. Calculate h(7). 160 Let q(w) = w**3 - 6*w**2 - 8*w + 36. Determine q(8). 100 Let p(m) = -5*m**2 - 173*m - 5. Calculate p(0). -5 Let m(r) = -8*r**2 + 176*r - 640. What is m(5)? 40 Let l(h) = -67*h - 2342. What is l(-35)? 3 Let d(t) = t**3 + 2*t**2 - 36*t + 155. Determine d(5). 150 Let s(y) = -19*y + 33. Give s(-1). 52 Let n(v) = -63*v - 114. Give n(-2). 12 Let a(j) = 3*j**3 - 17*j**2 + 4*j + 41. Calculate a(5). 11 Let k(r) = 2*r**3 - 7*r**2 + r - 5. What is k(3)? -11 Let c(r) = -2*r**3 - 23*r**2 - 3*r + 19. Calculate c(-1). 1 Let n(b) = -2*b**3 - 41*b**2 - 21*b + 5. Calculate n(-20). 25 Let m(b) = -149*b - 2821. What is m(-19)? 10 Let d(z) = -z**3 - 27*z**2 - 79*z - 179. What is d(-24)? -11 Let c(g) = g**2 - 99*g + 2455. Calculate c(49). 5 Let b(t) = 2*t + 66. Determine b(-34). -2 Let n(q) = 2*q**3 + 28*q**2 - 22*q - 311. Determine n(-14). -3 Let x(f) = -f**3 + 6*f**2 + 67*f + 65. Determine x(12). 5 Let u(w) = 33*w - 2264. Calculate u(67). -53 Let y(b) = 5*b + 122. Determine y(-19). 27 Let s(d) = -638*d + 3889. What is s(6)? 61 Let o(k) = -19*k**3 - 2*k**2 + 29*k + 30. Determine o(-1). 18 Let h(x) = -1254*x - 5036. Calculate h(-4). -20 Let d(i) = i**2 - 3045*i + 18236. Calculate d(6). 2 Let u(d) = d**3 - 11*d**2 + 14*d - 133. Give u(9). -169 Let u(t) = 449*t + 18378. What is u(-41)? -31 Let v(h) = 41*h - 2162. What is v(46)? -276 Let m(u) = -u**2 + 472*u + 17751. Calculate m(-35). 6 Let i(g) = -3*g**3 - 2*g**2 - 9*g + 31. Calculate i(-3). 121 L
{ "pile_set_name": "DM Mathematics" }
or p. -1 Let c(l) = -l - 4. Let f be c(7). Let y = f - -8. Let w be 2*((-33)/(-6) + y). Solve 19 = w*g - 6 for g. 5 Let p be (-6)/12 + (-15)/(-2). Let u = p + -4. Let l(z) = -z**3 - 8*z**2 + 7*z - 12. Let d be l(-9). Solve -u*t = -t - d for t. 3 Suppose -2*b = -7*b. Let s(j) = -j**3. Let g be s(b). Let c be (-1 - (2 - 4))*g. Solve 4*z + c = 4 for z. 1 Suppose 14*y - 15 = 13. Solve y*v - 6 - 4 = 0 for v. 5 Let l be 1 - 2 - (-4 + 0). Let b be (-15)/6 - 2/4. Let i be 1/l + 1/b. Solve i = 2*h - 0*h - 8 for h. 4 Suppose j - 3*p + 6 = 17, -p = 3. Suppose -j = -2*q + 2. Solve q*g + 3 = -g for g. -1 Suppose -3*k + 1 = -2. Let v(z) = 6*z - 1. Let b be v(2). Let p = b + -5. Solve g - p = -k for g. 5 Suppose 4*z - 4 = 3*z. Let m = 152 + -78. Let c = m + -49. Solve c = o + z*o for o. 5 Let m(g) = -g**2 - 3*g + 10. Let t be m(2). Solve 4*p + t*p = 0 for p. 0 Suppose 5*o = -11 - 44. Let n = -7 - o. Solve -n*a + 5*a + 4 = 0 for a. -4 Let i = -30 + 32. Solve 5*p = -i + 22 for p. 4 Let u be (3/2 + -2)*-2. Let f be -1 - 1*(-2 + u). Solve f = -0*v - v - 2 for v. -2 Suppose -5*r - 1 = -41. Solve -4*g = 8 + r for g. -4 Let q be ((-25)/(-15))/((-3)/(-9)). Solve 0*n + n = -q for n. -5 Let p(i) = i**2 - i - 2. Let k be p(2). Suppose k = -n - 5. Let r = n - -13. Solve 3*w + r = 2 for w. -2 Let i be ((-3)/(-2))/(2/4). Let l be (-2)/(-10) - i/15. Suppose 0*k - 5*t = 4*k - 21, -2*k - 3*t + 11 = l. Solve -2*s = -0*s + k for s. -2 Suppose -4*q = -3*o - 6 - 26, 0 = -4*o - 2*q - 72. Let a = o + 21. Let y(s) = -s**3 - 5*s**2 - s - 3. Let h be y(-5). Solve -3*f = -h*f - a for f. 5 Suppose 13 = y - 2*c + 1, -10 = -2*y - 3*c. Solve -3*j + y*j = -5 for j. -1 Let d be (-8)/3*(-18)/(-12). Let z(h) = h**3 + 7*h**2 + 6*h + 2. Let g be z(d). Solve -10 = -4*n - g for n. -4 Let x be 1*(-1)/3*-3. Let n be (-4)/10*(-5)/x. Suppose -5*c + 18 = -u, -2*u = n*u - c - 4. Solve -u*t - 6 = -0*t for t. -3 Suppose -2*q + 10 = 3*q. Suppose -s + 6*s = 20. Suppose 3*u - 6 = 0, -4*v - 3 = s*u - 11. Solve -r - q = -v for r. -2 Let k = -43 - -43. Solve k*a - a = 0 for a. 0 Suppose 2*y = -26 + 142. Suppose s - 4*d - 11 = 0, 2*s = 6*s - 2*d - y. Solve -5*b + s = -0*b for b. 3 Let f(h) = h**2 + 9*h - 1. Let m be f(-9). Let b be -3 - -19 - -2 - m. Solve -b + 4 = 5*g for g. -3 Suppose 2*v - 1 = -5*n + 14, 5*v + 15 = 5*n. Solve 0*p - 2*p + 4 = v for p. 2 Let v(m) = m + 9. Suppose 3*j + 4*u = -33, -j + 2*u - 4 + 3 = 0. Let d be v(j). Solve 1 = t - d for t. 3 Let h be 5 + 32/(-4) - -5. Solve 2 = u - h for u. 4 Suppose -2*i = -4*k + 3*i + 28, -2*k = -2*i - 12. Suppose -2*c + 5*q = 4*q - 13, 2*c - k*q = 14. Solve d = c*d - 5 for d. 1 Suppose k + 3*k = 0. Let z be -1 + k - (-30)/6. Suppose -z*u = -9 + 1. Solve 2*w + u*w = 0 for w. 0 Suppose 9 = 2*n - 3. Let u = -3 + n. Suppose -32 = -2*c + 2*y, 0 = c + u*y - 8 - 24. Solve -6*v + v = -c for v. 4 Let l = 34 + -11. Suppose 2*a = -5*d - l, a + 22 = -2*a - 5*d. Solve -g - a - 4 = 0 for g. -5 Let l be 4/(-2)*(-28)/8. Let y = 5 - l. Let z be 1*y/3*-3. Solve -2*i + 4*i = -z for i. -1 Suppose -n + 3*x = 2, -n + 11*x - 10 = 6*x. Suppose c + 9 = a, -3*a - 1 = -n. Let j be c/10 + 23/5. Solve -j*u + u = 0 for u. 0 Let g be ((-3)/(-3) - 1)/2. Let n = g - -2. Suppose 27 = h - 5*z, -2*h + 3*z + 16 = -3. Solve n*b - h + 0 = 0 for b. 1 Let y = 10 + -6. Suppose -4*o = t - 8, 0*o - 1 = -o. Suppose -4*q = -t - y. Solve q*i = -3*i for i. 0 Suppose 16 = 5*m - 2*u, -25 = -5*m + 3*u + 2*u. Solve -m*a + 0*a = -2 for a. 1 Suppose 0 = -4*u, -y + 5*u = y - 10. Let v be 14/5 + ((-110)/11)/(-50). Solve -y*t + v = 8 for t. -1 Suppose -b - 5*q = -3, 5*b - 13 = -4*q + 2. Solve m + 16 = -b*m for m. -4 Let q = 13 + -7. Solve 0*n - 2*n = -q for n. 3 Suppose 0 = 2*d - 4*d. Let q(a) = a - 1. Let m(g) = -g**3 - 7*g**2 + 2. Let w be m(-7). Let n be q(w). Solve -n = -r - d for r. 1 Let w(r) = -r**2 + 6*r + 2. Let g be w(3). Let l = g + -7. Solve 0 = -5*z + z + l for z. 1 Let r(d) = d**3 + 10*d**2 + 10*d + 12. Let i be r(-9). Let h be (-6)/(-18) - (-5)/i. Solve -3*m + h*m - 5 = 0 for m. -5 Suppose 12 = -3*a, 0 = 4*r - 2*a - 12. Solve -3 + r = -w for w. 2 Suppose -69*j = -68*j - 3. Solve -4*f - j = 5 for f. -2 Let y = -156 - -158. Solve -3*l - y*l = 15 for l. -3 Let g(b) = 9*b + 2. Let r be g(2). Suppose -5*m - 10 = -4*i, -2*i - 2*i + 4 = -2*m. Let x = i + 2. Solve -x*a = 3*a - r for a. 4 Let q be (-118)/10 + (-2)/10. Let a be 0 + 4/(q/(-9)). Suppose a*x - 4*g = 2*x + 17, -4*g = 2*x - 10. Solve -x = -3*i + 6 for i. 5 Let x = -17 - -17. Solve 6*w - w - 25 = x for w. 5 Suppose 2*k + 18 = -0*z + 2*z, 4*k + 40 = 5*z. Solve -2*h + z*h = 0 for h. 0 Let j be 5/(-15)*0 - 0. Solve -3*m - 6 - 9 = j for m. -5 Let p = -11 - -20. Suppose 5*n - 5*c = 0, 4*c = -2*n - 3 - p. Let q be (n/(-3))/(2/15). Solve q*d = d for d. 0 Let u be 12/(-2)*35/(-14). Suppose -5*j - 3*o + u = o, 4*j - 2*o = 38. Solve -3*p - 20 = -j*p for p. 5 Suppose 4*z + 0*z = 0. Solve -4*b - 1 - 15 = z for b. -4 Suppose -5*w = -z + 20, z = -0*z + 3*w + 12. Solve -4*m + z*m = -12 for m. 3 Suppose z + 16 = -2*z - 2*g, -3*g = 6. Let i be z*((-39)/(-12) - 2). Let t be i/(-2 + (-1 - -2)). Solve -3*v = -t*v + 6 for v. 3 Let m = 8 + -3. Suppose -3*p = q + 8, 2*q + 3 = -3*p - 4. Let a = q - -2. Solve -2*t + a = m for t. -1 Let v(p) = 2*p**2 + 5*p - 4. Let g be v(-4). Let w be -4*(-2 - (-14)/g). Solve 4*u + w + 15 = 0 for u. -4 Let r be 1 + 1 - 0/(-4). Solve 5*b - r*b = -9 for b. -3 Let a be ((-1)/1 + 2)*42. Let p be 4/6 + a/18. Suppose -f + 4 = -0*f - q, p*q = f + 2. Solve f*j - 4*j = 0 for j. 0 Let f(w) = -4*w. Let p be f(1). Let b = -1 - p. Suppose -45 = -2*l - b*l. Solve l = 3*u + 3 for u. 2 Suppose 0 = 6*l - 4*l. Let w be ((-1)/2*6)/(-3) - -1. Solve n + w = -l*n for n. -2 Let w = -18 - -33. Let r = -11 + w. Solve -2*x + r*x = 0 for x. 0 Suppose -i + 2*i = 22. Let d = -10 + i. Solve o + 2*o = d for o. 4 Let b(g) = -6*g**3 + g**2 - 1. Let t be b(1). Let f(m) = -m - 4. Let q be f(t). Solve 4 = q*x - 4*x for x. -2 Let w = 10 + -6. Suppose -d = -0*d - w. Solve h + d*h - 25 = 0 for h. 5 Let h = 657 + -653. Let i = 8 + -6. Solve i*w - h*w = -2 for w. 1 Suppose -4*u = 7*g - 2*g - 109, -5*u - 145 = -5*g. Let f = -14 + g. Let d = f + -8. Solve 19 - d = -4*h for h. -4 Let t = 16 - 26. Let k be 4/14 + t/35. Solve k = -v + 2*v + 1 for v. -1 Let g be 5 + (0/2 - -2). Let o = -6 + 2. Let t = g + o. Solve 2*i + t = -7 for i. -5 Let v(z) = -z**3 + 6*z**2 - z + 5. Let l be v(6). Let w be 1 + 2 + l + 4. Let i be w/(-27) + 29/9. Solve i = t - 4*t for t. -1 Let t(a) = 2*a**3 + 11*a**2 + 5*a + 2. Let y be t(-5). Solve 0 = -y*l - 1 + 3 for l. 1 Let j(o) = -o**2 - 7*o - 7. Let v be j(-6). Let m be 1/(v/1) - -12. Suppose 1 = -5*g + m. Solve g*b + 2*b = 16 for b. 4 Let p = 10 + -8. Suppose -p*r = r. Solve -4 = 4*s - r*s for s. -1 Suppose -4*o + 7 = 31. Let r be o/(-27) - 94/18. Let h = r + 8. Solve 0 = -5*w + h - 28 for w. -5 Suppose 11 = -2*g + 3. Let b be 11 + g/(3 + 1). Solve 2*i + 0*i = b for i. 5 Let q(s) = -s**3 - 18*s**2 + 20*s + 19. Let k be q(-19). Solve k = -3*u + u for u. 0 Let o = 24 + -27. Let k(u) = -5*u + 0*u - 4 + 1. Let g be k(o). Solve -5*t = -t + g for t. -3 Suppose 5*v - 3*b = 30, -3*b - 6 = 3*v - 0*b. Suppose -v*y + 3 = -3. Let s be ((-76)/4)/(-1) - 7. Solve -y*a = -5*a - s for a. -4 Suppose -6*o + o + 100 = 0. Suppose 25 + o = 5*w. Suppose -2*x + w = x. Solve -4*r = -x*r - 3 for r. 3 Let u = -137 + 142. Suppose 0*l = 3*l - 6. Suppose -l*v + 5 + 2 = -k, -4*v + 5*k = -23. Solve -p = -v*p + u for p. 5 Suppose 0 = -l + 3*l - 8. Solve -w - w = -l for w. 2 Suppose g = -2*g + 21. Let f = g - 2. Solve -f*m - 4 = -3*m for m. -2 Suppose -4*s + 4 = -8. Let i(k) be the first derivative of -k**3/3 + 2*k**2 + 3*k + 1. Let f be i(s). Solve -r = 3 - f for r. 3 Let j(x) = -3*x - 1. Let t be j(-1). Suppose -t*h + h = -3*d + 12, 3*h - 34 = -5*d. Suppose 3*b = d - 2. Solve 2*l - 7 = -b for l. 3 Let g(o) = 2 + 1 - 4 + 3*o. Suppose 0 = -17*f + 21 - 4. Let b be g(f). Solve -5*u - 27 = -b for u. -5 Suppose 0 = -4*w + 2*w. Let o be (-2)/(-1)*(w + 5). Solve o*k - 5*k = 5 for k. 1 Suppose -4*j = -2*j - 8. Solve -v = v + j for v. -2 Let m be (33/(-4))/((-18)/48). Suppose -4*l = -54 + m. Let k(d) = d**3 - 8*d**2 - d + 11. Let r be k(l). Solve r*b = b + 10 for b. 5 Let q be 1 + -1 + 1*-2.
{ "pile_set_name": "DM Mathematics" }
? 11250 Convert 2.268944mg to grams. 0.002268944 What is 17/4 of a gram in milligrams? 4250 What is 47/4 of a milligram in micrograms? 11750 How many micrometers are there in twenty-seven fifths of a centimeter? 54000 What is 1/6 of a hour in minutes? 10 How many millilitres are there in 67.3471l? 67347.1 How many nanograms are there in 873472.5 milligrams? 873472500000 How many millilitres are there in 510.0824 litres? 510082.4 What is 29/5 of a meter in millimeters? 5800 Convert 52935.34 millilitres to litres. 52.93534 Convert 0.8866575 decades to years. 8.866575 What is 92.02263 minutes in microseconds? 5521357800 Convert 180974.8cm to meters. 1809.748 How many millilitres are there in five eighths of a litre? 625 What is 104.5737us in days? 0.00000000121034375 Convert 3976.5222ns to weeks. 0.0000000000065749375 How many months are there in fourty-three thirds of a century? 17200 What is 9/10 of a kilometer in centimeters? 90000 How many years are there in 7/8 of a millennium? 875 Convert 182161.5g to micrograms. 182161500000 What is eleven eighths of a litre in millilitres? 1375 How many hours are there in 68/3 of a day? 544 How many hours are there in 812860.6 days? 19508654.4 How many years are there in 3/25 of a millennium? 120 What is 99.92601mm in centimeters? 9.992601 Convert 17.07151 minutes to nanoseconds. 1024290600000 What is fifty sevenths of a week in minutes? 72000 Convert 445.2903 decades to years. 4452.903 Convert 12.48729 litres to millilitres. 12487.29 How many litres are there in 390.6205ml? 0.3906205 What is one quarter of a milligram in micrograms? 250 What is eleven halves of a millennium in centuries? 55 Convert 501.4147l to millilitres. 501414.7 How many litres are there in 0.8945411ml? 0.0008945411 How many micrograms are there in five quarters of a milligram? 1250 What is 580065.3 millilitres in litres? 580.0653 Convert 569979.7 centuries to millennia. 56997.97 What is 3338.391 hours in weeks? 19.871375 What is 1505.309 millimeters in micrometers? 1505309 What is 22629.53 meters in kilometers? 22.62953 What is 450172.6 milligrams in nanograms? 450172600000 How many micrograms are there in 6/5 of a milligram? 1200 What is 66904.551 minutes in weeks? 6.63735625 What is 59/5 of a millimeter in micrometers? 11800 How many seconds are there in 332608.2us? 0.3326082 How many litres are there in 4.116534 millilitres? 0.004116534 How many hours are there in 0.556612 days? 13.358688 How many milligrams are there in 45/8 of a gram? 5625 How many nanometers are there in one tenth of a micrometer? 100 How many micrograms are there in 511583.2 milligrams? 511583200 How many years are there in 906692.2 decades? 9066922 How many milligrams are there in 48.0288ug? 0.0480288 How many nanoseconds are there in seven halves of a microsecond? 3500 What is 6/5 of a microsecond in nanoseconds? 1200 How many millilitres are there in 2485.605l? 2485605 How many seconds are there in 11/2 of a minute? 330 What is one tenth of a millennium in centuries? 1 What is 1/5 of a litre in millilitres? 200 Convert 0.210988ug to grams. 0.000000210988 How many micrometers are there in 4826.807 centimeters? 48268070 How many years are there in 471.15 centuries? 47115 How many meters are there in 486.478 micrometers? 0.000486478 Convert 57.88772 millimeters to centimeters. 5.788772 How many millilitres are there in 1/10 of a litre? 100 What is 7/3 of a week in hours? 392 What is 32704.33 meters in millimeters? 32704330 What is five sixths of a day in minutes? 1200 What is 336366.5 years in centuries? 3363.665 Convert 937.8909l to millilitres. 937890.9 Convert 0.163758 tonnes to nanograms. 163758000000000 How many centimeters are there in 4.097151km? 409715.1 How many seconds are there in 2/27 of a week? 44800 How many years are there in 1/4 of a millennium? 250 What is 62.79739ug in nanograms? 62797.39 What is 161.6808 centuries in years? 16168.08 What is 16665.294 months in centuries? 13.887745 How many months are there in 3/50 of a century? 72 What is twenty-one quarters of a century in years? 525 What is 92179.53 micrograms in grams? 0.09217953 Convert 901.2532 hours to microseconds. 3244511520000 What is 3/25 of a tonne in kilograms? 120 What is 92.70811t in grams? 92708110 What is five eighths of a micrometer in nanometers? 625 What is 8/25 of a microsecond in nanoseconds? 320 Convert 50.04778 minutes to nanoseconds. 3002866800000 Convert 0.105976 grams to kilograms. 0.000105976 What is 19/4 of a milligram in micrograms? 4750 Convert 0.8972415cm to micrometers. 8972.415 How many tonnes are there in 5517.5g? 0.0055175 How many seconds are there in fourty-nine fifths of a hour? 35280 Convert 0.0267252ml to litres. 0.0000267252 How many millilitres are there in 333335.9l? 333335900 What is seven eighths of a day in seconds? 75600 What is seven thirds of a year in months? 28 How many months are there in seven quarters of a year? 21 How many kilograms are there in five eighths of a tonne? 625 How many kilograms are there in 3379.43ng? 0.00000000337943 What is 0.4194 milligrams in micrograms? 419.4 What is 3/10 of a day in minutes? 432 What is seven halves of a meter in millimeters? 3500 How many meters are there in 8968.702nm? 0.000008968702 How many meters are there in three tenths of a kilometer? 300 Convert 5775.82 days to minutes. 8317180.8 What is fifty-four fifths of a minute in seconds? 648 How many millilitres are there in fourty-four fifths of a litre? 8800 How many decades are there in one fifth of a century? 2 Convert 716872.2nm to millimeters. 0.7168722 What is 186319.8cm in micrometers? 1863198000 How many years are there in eighteen fifths of a century? 360 How many micrometers are there in 6.713744 kilometers? 6713744000 How many months are there in 0.110227 millennia? 1322.724 Convert 32658.35nm to meters. 0.00003265835 What is two sevenths of a week in minutes? 2880 How many months are there in 310804.4 decades? 37296528 What is 97.08081 hours in microseconds? 349490916000 Convert 6.564274 grams to nanograms. 6564274000 How many milliseconds are there in 3.4217 hours? 12318120 What is seventy-nine halves of a second in milliseconds? 39500 How many micrograms are there in 630560.3ng? 630.5603 What is 43388.64 milligrams in micrograms? 43388640 What is 1/10 of a millennium in months? 1200 What is 0.990376 litres in millilitres? 990.376 What is 0.0143437 millimeters in nanometers? 14343.7 Convert 90.60476 centuries to millennia. 9.060476 What is thirteen fifths of a minute in seconds? 156 What is 83091.19 millennia in centuries? 830911.9 How many millennia are there in 0.6259882 centuries? 0.06259882 What is 21/8 of a centimeter in micrometers? 26250 What is 5.415533l in millilitres? 5415.533 What is 88009.52kg in micrograms? 88009520000000 Convert 1.192245 years to millennia. 0.001192245 What is 27/5 of a week in minutes? 54432 What is thirty-seven halves of a day in hours? 444 What is twenty-eight thirds of a year in months? 112 What is 21.672033 months in years? 1.80600275 Convert 0.9869165um to kilometers. 0.0000000009869165 How many centimeters are there in 1/4 of a kilometer? 25000 How many months are there in three fifths of a millennium? 7200 What is 4.439582 hours in minutes? 266.37492 How many tonnes are there in 833708.2kg? 833.7082 How many years are there in eleven halves of a millennium? 5500 How many nanoseconds are there in three tenths of a microsecond? 300 What is 88/5 of a millennium in decades? 1760 What is fourty-two fifths of a centimeter in micrometers? 84000 How many kilometers are there in 594386.3m? 594.3863 What is 3/40 of a microgram in nanograms? 75 How many seconds are there in two ninths of a hour? 800 What is 14879.24 micrograms in nanograms? 14879240 How many microseconds are there in six fifths of a millisecond? 1200 Convert 9066.925 millilitres to litres. 9.066925 What is 48249.44kg in grams? 48249440 How many millimeters are there in three tenths of a meter? 300 Convert 275.5319 centuries to decades. 2755.319 How many kilometers are there in 7.184031nm? 0.000000000007184031 How many nanometers are there in 11/10 of a micrometer? 1100 What is 3/5 of a litre in millilitres? 600 Convert 56318.93 nanomete
{ "pile_set_name": "DM Mathematics" }
r = -28 + 35. Let v(o) = 4*o**2 + 4. Let x(n) = -9*n**2 - 9. Give f*x(z) + r*v(z). z**2 + 1 Let y(m) = -2*m**2 - 34*m - 1. Let u be y(-17). Let x(b) = 3*b**2 + b - 1. Let f(p) = -p**2 + p - 1. What is u*f(i) + x(i)? 4*i**2 Let j be (4/5)/((-20)/(-50)). Let q(m) = 2 - m + 3*m**3 - j*m**3 - m**2 + 2*m - 1. Let f(t) = 6*t**3 - 5*t**2 + 4*t + 2. Give -f(y) + 4*q(y). -2*y**3 + y**2 + 2 Let v(w) = 10*w**3 - 3*w. Let f(a) = -9*a**3 + 2*a. Give -3*f(b) - 2*v(b). 7*b**3 Suppose 4*l + 2 = -2. Let n = 4 + l. Let g(x) be the third derivative of -x**4/12 - 2*x**3/3 - x**2. Let b(v) = -v - 3. Calculate n*g(m) - 4*b(m). -2*m Let w(b) = b**2 + b. Let c(n) = -n**3 + 6*n**2 - 5*n - 1. Let q be c(5). Let s(i) = 112*i**2 - 106*i**2 - 1 + 2 + 3*i. Calculate q*s(h) + 4*w(h). -2*h**2 + h - 1 Let t be 6/12 - (-1)/2. Let o(p) = 4*p + 1. Let x be o(t). Let u(s) = -7 - 6*s + 0*s**2 + 1 - s**2. Let k(c) = c**2 + 5*c + 5. Give x*u(g) + 6*k(g). g**2 Let u(j) = 7*j + 3. Let k(r) = -r**3 - 3*r**2 + 7*r + 5. Let h be k(-4). Let n(c) = c**3 - 3*c - 3. Let m be n(-2). Let w(q) = -10*q - 4. Give h*u(o) + m*w(o). o - 1 Let r(b) = 8*b + 5. Let d(i) = -1. Calculate -4*d(y) - r(y). -8*y - 1 Let u(l) = -9*l**2 + 6*l + 1. Let m(v) = -19*v**2 + 13*v + 2. Calculate 4*m(f) - 9*u(f). 5*f**2 - 2*f - 1 Let v(o) = -2*o + 1. Let t be v(2). Let b(p) = -5*p. Let j(k) = 2*k**2 + 11*k + 20. Let n be j(-4). Let g(c) = -2*c. What is n*g(z) + t*b(z)? -z Suppose b - 5 = 1. Let g(l) = b*l - 4*l**2 + 2*l + 0 - 3*l - 5. Let i(u) = 2*u**2 - 2*u + 2. Let a be 0 + 2/4*10. What is a*i(p) + 2*g(p)? 2*p**2 Let r(q) = -q - 5*q - q + 13*q**2. Let d(a) = -9*a**2 + 5*a. Suppose -4*l + 136 = -0*l. Suppose 3*f = 5*j + l + 1, -2*j - 23 = -3*f. Calculate f*r(t) + 7*d(t). 2*t**2 Let u(i) = -i**3 + 5*i**2 - 5*i + 5. Let x(h) = -h**2 + h - 1. Calculate 2*u(n) + 10*x(n). -2*n**3 Let g(z) = -2*z**2 - z - 4. Let h(w) = -3*w**2 - w - 5. Give 6*g(d) - 5*h(d). 3*d**2 - d + 1 Let j(s) = 5*s**3 + 4*s**2 - 10*s + 7. Let y(f) = 9*f**3 + 7*f**2 - 19*f + 14. Let r(m) = -7*j(m) + 4*y(m). Let t(c) = c + 3 - 1 + 0 - 3. What is r(d) + 6*t(d)? d**3 + 1 Let x(w) = -2*w**2 + 5 - 2 + 3*w**3 + 3*w - w**2 - 4*w**3. Let q(t) = t**3 + 2*t**2 - 2*t - 2. What is 3*q(h) + 2*x(h)? h**3 Let u(y) = -58298*y - 1133. Let v(c) = 103*c + 2. Calculate 2*u(w) + 1133*v(w). 103*w Let u(q) = 10*q + 8. Let x(r) = 3*r + 3. Calculate -4*u(d) + 14*x(d). 2*d + 10 Let p(s) = 5*s - 5. Let g(h) = 9*h - 10. Let v(d) = -6*g(d) + 11*p(d). Let i(u) = -2*u - 6. Calculate -5*i(j) - 6*v(j). 4*j Let a(w) = -2*w - 5. Let x(c) = 7*c - 5. Let v(g) = -20*g + 14. Let o(d) = 6*v(d) + 17*x(d). Determine a(s) - 3*o(s). s - 2 Let a(q) = 5*q**2 - 4*q + 4. Let w(v) = -9*v**2 + 7*v - 8. Give -5*a(p) - 3*w(p). 2*p**2 - p + 4 Let z(y) = 2*y - 3. Let l be z(0). Let b(x) = x**2 - 5*x - 5. Let a(q) = 3*q + 3. Give l*b(c) - 5*a(c). -3*c**2 Let l(q) = -8*q**3 - 2*q**2 + 2*q - 5. Let v(z) = 8*z**3 + 3*z**2 - 2*z + 6. Give -6*l(d) - 5*v(d). 8*d**3 - 3*d**2 - 2*d Let f(l) = 5*l - 5. Let i(c) = -6*c + 6. Let v(t) = 5*f(t) + 4*i(t). Let g(k) = 8*k - 8*k - k. Give -g(r) + v(r). 2*r - 1 Let v(w) = -4*w**2 + 4*w - 5. Let a(d) = -3*d**2 + 3*d - 4. Give -6*a(g) + 4*v(g). 2*g**2 - 2*g + 4 Let u(y) = 3*y + 0*y + 2*y**2 - 1 - y + 2*y. Let p(a) = a**2 + a. Give -4*p(c) + u(c). -2*c**2 - 1 Let k(b) = 41*b**3 - 11*b**2 - 6*b - 11. Let w(c) = 8*c**3 - 2*c**2 - c - 2. What is -2*k(h) + 11*w(h)? 6*h**3 + h Let v(l) = 5*l**3 + 8*l**2 + 5*l - 8. Let b be 27/5 - (-16)/(-40). Let h(u) = 3*u**3 + 5*u**2 + 3*u - 5. Determine b*v(r) - 8*h(r). r**3 + r Let z be 4 - ((-2 - 2) + 6). Let w be (6/(-4))/((-4)/24). Let c(o) = -o**3 - 2*o**2 + 1. Let i(s) = 5*s**3 + 9*s**2 - 4. Calculate w*c(b) + z*i(b). b**3 + 1 Let s(c) = -1. Let m(t) = 3*t + 1. Calculate 5*m(q) + 5*s(q). 15*q Suppose -3 = y - 2*y. Let m(w) = -3 - y*w + 2 - 4. Let j be 88/(-56) - (-3)/(-7). Let x(z) = z + 2. What is j*m(g) - 5*x(g)? g Let r(v) = -v**3 - v**2 - 5*v + 3. Let i(l) = -2 - 2*l**3 + 2*l + 3*l**3 + 2*l + l**2. Calculate -3*i(k) - 2*r(k). -k**3 - k**2 - 2*k Let t(i) = -i. Let w(k) = 5*k - 1. What is -6*t(b) - w(b)? b + 1 Let z(w) = -w + 1 - 1 + 2*w - 1. Let x(n) be the third derivative of n**2 + 1/24*n**4 - 1/3*n**3 + 0*n + 0. Determine -x(o) + 2*z(o). o Let r(j) = 4*j - 13. Let o(q) = -6*q + 19. Determine -5*o(g) - 8*r(g). -2*g + 9 Let y(k) = 4*k**2 - k - 1. Let j(t) = t**2 - t - 1. Let n be (6/12)/((-2)/(-4)). What is n*y(d) - j(d)? 3*d**2 Suppose c = -c + 12. Let y(j) = -4*j - c*j + 11 - 8*j + 4*j. Let x(r) = -5*r + 4. Calculate -11*x(z) + 4*y(z). -z Let v(z) = 3*z**2 + 12*z + 2. Let f(y) = y**2 + 4*y + 1. Give 7*f(b) - 2*v(b). b**2 + 4*b + 3 Let m be (1 - (-126)/3) + 3. Let c(p) = -3*p - 47*p**2 + m*p**2 + 2*p. Let r(o) = o**2. Calculate 2*c(t) + 3*r(t). t**2 - 2*t Let i(y) = 2*y + y**3 + 4*y**2 - y**3 + 5*y**3 - 8*y + 5. Let j(h) = -14*h**3 - 11*h**2 + 17*h - 14. Determine -11*i(a) - 4*j(a). a**3 - 2*a + 1 Let q be (-10)/(-4) + (-9)/(-6). Let l(c) = -11*c + 11. Let s(j) = -5*j + 5. What is q*l(k) - 9*s(k)? k - 1 Let n(p) = 2*p**3 - 3*p**2 + 2*p - 1. Let u(j) = j**2 - j. Determine n(v) + 2*u(v). 2*v**3 - v**2 - 1 Let k(p) = p**3 - 4*p**2 + 11. Let m(b) be the third derivative of b**5/60 - b**3/3 - 7*b**2. Determine -2*k(d) - 11*m(d). -2*d**3 - 3*d**2 Let u(p) = -11*p - 5. Let q(v) = 4*v - 8 + 24 - 14. What is -8*q(j) - 3*u(j)? j - 1 Suppose -2*r = -3*r + 4. Let w(a) = -17*a**2 + 0*a**2 - r*a - 5*a. Let z(x) be the second derivative of x**4/3 + x**3/3 + 111*x. Determine 2*w(k) + 9*z(k). 2*k**2 Suppose 12 = -3*s, 0*s = 4*h - s. Let o = -6 + h. Let i(y) = 2*y + 3. Let p(x) = -x - 1. Let g(q) = -q**2 - q - 3. Let b be g(0). Give b*i(r) + o*p(r). r - 2 Let l be 41 + (-1)/(2/4). Suppose -l = 4*x + g, 10 + 2 = -x - g. Let o(k) = 2*k. Let b(n) = n**2 - 8*n - 1. Determine x*o(t) - 2*b(t). -2*t**2 - 2*t + 2 Let u(l) = 3*l + 6. Let v(i) = -i - 1. Suppose -3*f - 2*f = 5. Give f*u(w) - 5*v(w). 2*w - 1 Let n(h) = -5*h**2 + h + 1. Suppose 5*k + 3 - 33 = 0. Let c be (-2)/6 + 38/6. Let i(z) = -3 + 0 - c*z**2 + 20*z**2 - 3*z. Calculate k*i(p) + 17*n(p). -p**2 - p - 1 Let x(g) = -g**2 - 33*g**3 + 3*g**2 - 2*g - 2 + 29*g**3. Let a(c) = -13*c**3 + 7*c**2 - 7*c - 7. Calculate -4*a(y) + 14*x(y). -4*y**3 Let g(t) = -3*t - t**2 + 3*t**2 - 4*t**2. Suppose y - 4 - 6 = 0. Let o(a) be the first derivative of 2*a**3 + 5*a**2 - 2. Determine y*g(z) + 3*o(z). -2*z**2 Let n(d) be the third derivative of d**4/24 - d**3/6 - d**2. Let s(k) = k - 4. Let r = 351 + -350. What is r*s(a) - 4*n(a)? -3*a Let w(g) = 6*g. Let b(y) = y**3 + 33*y. Determine 6*b(i) - 33*w(i). 6*i**3 Let z(f) be the second derivative of -f**3/2 + 2*f**2 - f. Let i = 21 + -14. Let w(u) = 4*u - 6. Determine i*z(k) + 5*w(k). -k - 2 Let x(i) = 2162*i**2 + 47*i - 47. Let h(n) = 94*n**2 + 2*n - 2. Calculate 47*h(p) - 2*x(p). 94*p**2 Suppose 9*i + 112 = 2*i. Let g(w) = -10*w. Let m(k) = 2*k. What is i*m(y) - 3*g(y)? -2*y Let s(h) = 5*h**2 - 3*h - h**2 + 2*h**2 - 2 - 3*h**2. Let n(b) = -13*b**2 + 13*b + 9. Let q be -19*1 - -2 - 1. Give q*s(y) - 4*n(y). -2*y**2 + 2*y Let h(z) = -2*z + 1. Let l(f) = f**3 - 3*f**2 + 2*f - 4. Let v be l(3). Let s(c) = -c. Give v*h(k) - 3*s(k). -k + 2 Let p(j) = 3*j - 8*j - 1 + 11*j. Let c(n) = -n. Give 5*c(m) + p(m). m - 1 Let b(i) = 25*i**2 - 2. Let p(s) = s**2 - 1. Give -b(f) + 2*p(f). -23*f**2 Let u(f) = 131*f**2 - 5*f + 5. Let g(j) = -196*j**2 + 7*j - 7. What is 5*g(p) + 7*u(p)? -63*p**2 Let i(w) = -4*w**3 + w**2 + 2*w. Let m(z) = z**3 + z. Give i(y) + 3*m(y). -y**3 + y**2 + 5*y Let f(c) = -36*c**3 + 20*c**2 - 20*c - 20. Let o(p) = -p**3 + p**2 - p - 1. Calculate -f(s) + 20*o(s). 16*s**3 Let k(a) = 6*a - 4. Let w(r) = r**2 - 19*r + 11. What is -8*k(j) - 3*w(j)? -3*j**2 + 9*j - 1 Let k(t) = -t + 23. Let x(u) = -u + 34. Give 8*k(p) - 5*x(p). -3*p + 14 Let s(g) = 6*g**3 - 4*g**2 - 6*g - 3. Let q(b) = -13*b**3 + 9*b**2 + 13*b + 7. Let w = 16 + -12. Suppose -3*v = -5*v + 18. Determine v*s(t) + w*q(t). 2*t**3 - 2*t + 1 Let w(o) = o - 1. Let i(n) = -16*n - 8. What is i(j) - 8*w(j)? -24*j Let v(a) = -a**2 - 4*a. Let x(s) = -5*s + 6. Let c(w) be the second derivative of -7*w**3/3 + 17*w**2/2 - 2*w. Let h(k) = 6*c(k) - 17*x(k). Give 4*h(r) + v(r). -r**2 Let u(l) = 9*l**2 - 19*l - 15. Let
{ "pile_set_name": "DM Mathematics" }
*y + 2*s = -2130, -253 = -p*y + 5*s + 620. What is the hundreds digit of y? 4 Suppose -99*i = 45*i - 50976. What is the tens digit of i? 5 Let d be (-54)/(-81) - (-4670)/(-3). Let t = 2193 + d. What is the tens digit of t? 3 Let c(z) = -z**2 + 5*z + 19. Let j be c(6). Let u(r) = 6*r - 30. What is the tens digit of u(j)? 4 Let g be -1*(-28)/(-8)*(3 + -1417). Suppose -921*c - g = -928*c. What is the units digit of c? 7 Let t(h) = 15*h**2 + 5*h - 3. Let l(k) = 2*k**2 - k - 1. Let y be l(3). Let w = 10 - y. What is the units digit of t(w)? 7 Suppose 76*u - 15920 = 84*u. Let b = -1067 - u. What is the units digit of b? 3 Suppose 4*c + 11909 = 4*x - 14807, -2*x + c = -13356. What is the hundreds digit of x? 6 Suppose -17*n = -18*n + 9. Let f be (6 - 2)*n/6*1. Suppose 474 - 60 = f*x. What is the units digit of x? 9 Let s be ((-1355)/35)/(-2*(-3)/(-42)). Suppose 5124 = 4*l + 2*u, l - 3*u = -s + 1559. What is the units digit of l? 2 Let g(m) = m**2 + 7*m + 12. Let j be g(-3). Suppose 7*k + 118 + 57 = j. Let a(l) = -7*l - 30. What is the tens digit of a(k)? 4 What is the thousands digit of (((-11428)/(-6))/(-2))/(121/(-1815))? 4 Let u(t) = -28*t**2 - 11*t - 47. Let s(q) = -27*q**2 - 9*q - 46. Let a(w) = -4*s(w) + 3*u(w). What is the hundreds digit of a(-6)? 8 Let r(d) = 17*d**2 + 64*d - 101. What is the units digit of r(-11)? 2 Let d(j) = -j**2 - 7*j - 4. Let b be d(-6). Suppose 4*s + 250 + 228 = 5*a, b*a + 2*s - 202 = 0. What is the tens digit of (4 + -5 - 0) + a? 9 Let k(t) = 784*t - 2611. What is the units digit of k(24)? 5 Suppose -335 = 2*w - 1275. Let t = w + -266. What is the hundreds digit of t? 2 Let n(l) = -l**2 + 2*l + 3. Let o be n(0). Let s be (3 + 0 - o) + 0. What is the tens digit of (-74)/(2 + -3 + s)? 7 Suppose 15*z - 9378 - 3161 - 20551 = 0. What is the tens digit of z? 0 Let h be (-4)/(-16) + 0 - (-13)/(-4). What is the tens digit of (h/(18/(-57)))/((-7)/(-574))? 7 Suppose -42 = -47*y + 48*y. Let g = 483 + y. Let z = g + -208. What is the units digit of z? 3 What is the units digit of 2964*((-116)/(-261))/(8/114)? 2 Let p = 46561 + -37326. What is the thousands digit of p? 9 Suppose -o + r - 507 = -3*o, -3*r + 15 = 0. Suppose -12 = 3*c, 4*d - o = 2*c + 265. What is the tens digit of d? 2 Suppose -107 + 287 = 9*g. What is the tens digit of g? 2 Let z(q) = -2*q + 40. Suppose t - h = 10 - 2, -4*t = 2*h - 50. Suppose 5*y - 5*o - 14 = t, 2*y - o = 10. What is the units digit of z(y)? 0 Let l = 317 - 315. Suppose -4*t - 3*q = -2265, -3*q = -3*t - l*q + 1715. What is the units digit of t? 0 What is the units digit of (20/25)/(-6 - 520624/(-86770))? 4 Let p = -138 - -123. What is the tens digit of 25432/165 + 2/p? 5 Suppose 5*u - 41 = 4*d, -6*d = -8*d - 8. Suppose 0 = 3*b - b - 4. Suppose 5*h - 1195 = 2*t, -b*h + u*t + 499 = -0*h. What is the tens digit of h? 3 Let s be 232 - (1 - (0 - 0)). Let l = -724 + 811. Let m = s - l. What is the tens digit of m? 4 Let o(y) = -2*y**2 - 17*y - 8. Let f be o(-7). Suppose h + 5*z = 23, -3*h - f - 8 = -3*z. What is the tens digit of (h + 374)*10/20? 8 What is the tens digit of (-4)/14 - ((-30)/84*32702 - 4)? 8 Let a(t) = 2*t**3 - 16*t**2 + 26*t - 84. What is the units digit of a(12)? 0 Let q(w) = -15*w - 56 + 2*w - 40*w - 8*w. Let d be q(-8). Suppose 308 = 5*i - d. What is the hundreds digit of i? 1 Let p = -6032 + 20099. What is the hundreds digit of p? 0 Suppose -109 = 2*m + 273. Let z = 1057 - m. What is the hundreds digit of z? 2 Suppose -9*l + 30 = -3*l. Let h be (-324 - 2)*l/(-10). Suppose 4*k - 2*s - 174 = 0, -5*s + h = k + 2*k. What is the tens digit of k? 4 Suppose -18*r + 3*l = -20*r + 295, -4*r + 595 = l. Suppose 2*g = 5*i + 580 + r, 0 = 3*i - 15. What is the units digit of g? 7 Let b(j) = j**3 - 5*j**2 + 12*j - 58. Let l = -564 + 576. What is the units digit of b(l)? 4 Let t(b) = b**2 + 5*b - 7. Let p = -72 - -68. Let i(x) = x**2 + 4*x - 6. Let r(q) = p*t(q) + 5*i(q). What is the tens digit of r(-7)? 4 Let c = 5175 - 2872. Suppose 0 = -9*x + 2*x + c. What is the tens digit of x? 2 What is the thousands digit of 132/(-220) + 70558/5? 4 Suppose -13*w = -17*w + 4*g + 32772, -5*w + 40983 = g. What is the tens digit of w? 9 Let a(k) = k - 21. Let d be a(17). Let c(v) = -33*v - 1. What is the hundreds digit of c(d)? 1 Let u(o) = -2028*o - 22. What is the hundreds digit of u(-2)? 0 Let j be -2 + 678/1 + -1. Let n(x) = -96*x + 869. Let m be n(9). Suppose -2*v + v = 3*y - 151, -m*v = -y - j. What is the tens digit of v? 3 Let y(l) = 3*l - 5 - 4 - 3*l**2 + 4 + l**3. Let f be y(3). What is the tens digit of 130/f - (-14)/(-28)? 3 Let c be (-2)/((-16)/(-6))*-92. Suppose -85*x = -c*x - 13776. What is the units digit of x? 1 Let u(y) = -y**3 + 10*y + 3. Let c be u(-7). Let a = 403 - c. What is the tens digit of a - (1 + 7 - 4)? 2 Let z be 4*1 + (296 - 0/2). Let b = z - 157. Suppose 123 = -h + b. What is the tens digit of h? 2 Suppose -5*w = -n + 2*n - 16, -2*w - 4 = 3*n. Suppose 0 = -w*i + a + 2553, -2081 = -3*i + 3*a - 155. What is the hundreds digit of i? 6 Suppose -7*f = -0 - 14. Suppose -2*p - v + 4 = 0, -4*p = 3*v - 2 - f. Suppose -5 = -p*l + 111. What is the units digit of l? 9 Let r = -3304 - -6420. What is the units digit of r? 6 Suppose -14*i + 12*i = -4*j - 12, j = -i. What is the units digit of 6/j*(10 - 2380/15)? 6 Let d = 18194 - 13979. What is the tens digit of d? 1 Suppose -32*n + 24 = -20*n. Suppose n*s - s = 463. What is the units digit of s? 3 Let c(m) be the first derivative of -7*m**5/60 - 3*m**4/8 - 4*m**3/3 + 24. Let h(v) be the third derivative of c(v). What is the tens digit of h(-3)? 3 Suppose 0 = l + 1, y + l = -0*l + 47453. What is the ten thousands digit of y? 4 Suppose -7*n + 4*n = -6. Suppose 0 = 5*v - n*v, w - v = 50. What is the units digit of w? 0 Let t be (-27 - 3)/(6 + 2 + -6). Let s(r) = 9*r**2 + 37*r + 34. What is the tens digit of s(t)? 0 Suppose -5*n - i + 13829 = 0, 4*i - 305 = -3*n + 7989. What is the hundreds digit of n? 7 Let m(k) = 3*k**2 + 8*k + 4. Let f be m(-5). Let w = f + -65. What is the units digit of 1*w/4*-6? 9 Let x = 4333 + -1431. Suppose -39*p + 11677 = x. What is the units digit of p? 5 Suppose l - 883 = -g, -g - 698 = 3*l - 3347. What is the units digit of l? 3 Let j(h) = h**3 + 24*h**2 - 27*h + 676. Let b be j(-26). Let n be (-2)/(-3) - 85/(-3). Let t = b + n. What is the tens digit of t? 5 Suppose 3*a - 2699 = -4*h + 1955, a = -2. What is the units digit of h? 5 Suppose -4*s = 0, -3*s + 2750 = 5*v - 0*v. Suppose 3*g - v = -5*k, 2*g - k - 392 = 2*k. What is the hundreds digit of g? 1 Let d(t) be the first derivative of -t**2 + 148*t - 20. What is the units digit of d(33)? 2 Let n(d) be the first derivative of 113*d**2 - 13*d - 68. What is the tens digit of n(2)? 3 Let v = 164769 - 106716. What is the thousands digit of v? 8 Suppose -61*b - 5 = -62*b. Suppose -b*o + 5 + 20 = 0. Suppose 0 = -2*u + 7*p - 11*p + 250, 2*p = o*u - 637. What is the hundreds digit of u? 1 Let l = -19780 - -29843. What is the units digit of l? 3 Let s(y) = y**3 + 5*y**2 + 4*y. Let f be s(-4). Suppose -4*d + 14 = -5*a, f = -3*d - 2*d - 3*a + 36. Let h = d + 27. What is the units digit of h? 3 Let n(a) = -1456*a + 3154. What is the hundreds digit of n(-30)? 8 Let f = 2140 + -1423. What is the units digit of f? 7 What is the ten thousands digit of (-208888)/(-14) + (20 - 2192/112)? 1 What is the thousands digit of (-8)/(0 - -2) - (-6142 + 4)? 6 Let z be 2/(4/276*6). Let r = 28 - z. Suppose -c = -3*q + 77, q + 4*q = r*c + 125. What is the tens digit of q? 2 Suppose 6*i + 6528 = -11*i. Let u = 46 - i. What is the tens digit of u? 3 What is the units digit of (-5353)/(-1) + ((-2)/12)/(4/(-24))? 4 Let q(n) = n**2 + 3. Let c be q(0). Suppose 0*t + 4*t - 48 = -4*l, -2*l + 31 = c*t. What is the units digit of ((-20)/t)/((-32)/112)? 0 Suppose -10*i - 2837 = -11*i - 3*v, 2*i - v - 5639 = 0. What is the hundreds digit of i? 8 Suppose 371*k - 7828640 - 1389968 = 0. What is the units digit of k? 8 What is the hundreds digit of (953*18)/(89 + -87)? 5 Let r(y) = -y**2 - 20*y + 1073. Let k(b) = -b**3 + b**2 + 6*b. Let l be k(3). What is the thousands digit of r(l)? 1 What is the tens digit of (2/(-2 + 4))/(-20*19/(-11125640))? 7 Suppose -1022 = 27*j + 1678. What is the units digit of 20/j
{ "pile_set_name": "DM Mathematics" }
29661*d - 17 + 29661*d wrt d? 66*d Differentiate 13*k**3 + 98*k**3 - 42 + 65*k**3 + 19*k**3 wrt k. 585*k**2 Suppose -2*v + 5*v = 0. Let q = 22 + v. Find the second derivative of 25*d**4 - q*d**4 + 4*d - 2*d**2 + 2*d**2 wrt d. 36*d**2 Let b(z) be the second derivative of -z**5/6 + 5*z**4/12 - 5*z**2 + 15*z. Let p(r) be the first derivative of b(r). What is the second derivative of p(m) wrt m? -20 Find the third derivative of -668 + 0*g**2 - 67*g**3 + 677 + g**2 - 3*g**2 wrt g. -402 Find the second derivative of -8*b**2 + 16*b - 7*b**2 + 2*b**2 + 38*b + 21*b**2 + 20*b**4 wrt b. 240*b**2 + 16 Let g(n) = n**2 - 2*n - 49. Let h be g(16). What is the second derivative of 24*f - 63*f**3 + h*f**3 - 79*f**3 wrt f? 198*f Let h = 1 + 3. Let u be (-6*h/4)/2. Let x(z) = -8*z**3 - 3*z + 7. Let l(p) = 15*p**3 + 5*p - 14. Let d(f) = u*l(f) - 5*x(f). Differentiate d(v) wrt v. -15*v**2 Let k(s) be the second derivative of -43*s**6/30 - 7*s**2 + 3*s + 13. Differentiate k(y) with respect to y. -172*y**3 Find the third derivative of -76*o**5 + 14*o**2 - 2*o**2 - 12*o - 4*o**2 - 4*o**2 wrt o. -4560*o**2 Let b(n) be the first derivative of 11*n**6/30 - 27*n**2/2 - 17*n + 11. Let h(i) be the first derivative of b(i). Differentiate h(g) wrt g. 44*g**3 Let d = -159 + 198. Find the first derivative of -6*y**4 + d - 19 - 22*y**4 wrt y. -112*y**3 Suppose -13*i - 18 = -14*i. Find the second derivative of i*a - 5*a + 8*a**2 - 5*a wrt a. 16 Let r(p) be the second derivative of -13*p**7/21 + 97*p**3/3 + 2*p + 4. Find the second derivative of r(s) wrt s. -520*s**3 Let w be 10/(1 + 0 + 1). Let z be -2 - (-6 - -1)/(-22 + 23). Find the first derivative of 98*t**z + w + 2 - 102*t**3 wrt t. -12*t**2 Let w = 1 + 1. Find the third derivative of 6*i**5 - 10*i**2 + 3*i**2 + w*i - 2*i wrt i. 360*i**2 Let y(s) be the third derivative of s**8/168 + s**7/70 - 6*s**5/5 - 13*s**2 + 6*s. Find the third derivative of y(i) wrt i. 120*i**2 + 72*i Find the second derivative of 52*x**2 - 539*x - 116*x**2 + 69*x**2 + 26*x**4 wrt x. 312*x**2 + 10 Let c(b) = -b**2 + 7*b + 5. Let a be 4/10 - (-330)/50. Let q be c(a). Find the second derivative of -5*z + 4*z + q*z + 4*z - 2*z**3 wrt z. -12*z Let q(m) be the second derivative of 0*m**2 + 0*m**3 + 0*m**6 + 0 - 1/12*m**4 + 1/14*m**8 + 0*m**5 + 0*m**7 - 10*m. Find the third derivative of q(a) wrt a. 480*a**3 Let z be (24/30)/(4/10). Find the third derivative of 2*h**3 + 16*h**2 + 7*h**2 - 18*h**z wrt h. 12 Let j(y) = -y. Let a be j(-2). Let b = 8 - 5. What is the second derivative of 79*r**b + 7*r - a*r - 78*r**3 wrt r? 6*r Suppose -2*o = -7 + 5. What is the first derivative of -o + 3 + d - 9 wrt d? 1 Let a(i) = 255*i**3 + 8*i**2 + 70. Let p(b) = -1019*b**3 - 36*b**2 - 281. Let y(u) = -9*a(u) - 2*p(u). Differentiate y(w) with respect to w. -771*w**2 Let h be (-3)/(-4) - 85/(-20). What is the third derivative of -83*t**3 - 83*t**3 - t**2 + 166*t**3 - 14*t**h wrt t? -840*t**2 Let z(x) be the first derivative of -13/3*x**3 + 0*x**2 + 5/2*x**4 + 2 + 0*x. What is the third derivative of z(f) wrt f? 60 Let r(q) = -q**3 + 301*q**2 - 12*q - 111. Let f(y) = -151*y**2 + 5*y + 56. Let a(d) = -5*f(d) - 2*r(d). What is the second derivative of a(k) wrt k? 12*k + 306 Suppose 12 = -4*z + 44. Find the third derivative of -z*f**2 + 4*f**4 + 15*f**2 + 4*f**2 + 19*f**4 wrt f. 552*f Let i(k) = -k**3 - 8*k**2 + 9*k + 3. Let c be i(-9). Differentiate 1 - 5*v**3 - 43 + 14*v**c with respect to v. 27*v**2 Let g be (-1)/2*-1*(-40)/(-5). Differentiate 2*k + 24*k**4 + 2*k - 14 - g*k wrt k. 96*k**3 Let h = 1 - -3. What is the second derivative of -t**h + 632 + 3*t - 632 wrt t? -12*t**2 Let n(j) be the second derivative of 7/15*j**6 + 0*j**3 - 5/2*j**2 + 0*j**5 + 0*j**4 - 2*j + 0. What is the derivative of n(a) wrt a? 56*a**3 Let t(i) be the first derivative of i**5/5 - i**3 + 185*i - 48. Find the first derivative of t(j) wrt j. 4*j**3 - 6*j Let h(d) be the second derivative of -2/3*d**4 + 47*d - 13/20*d**5 + 0*d**3 - 1/15*d**6 + 2*d**2 + 0. What is the third derivative of h(l) wrt l? -48*l - 78 Suppose 0 = -f + 5*z + 22, 3*f + 0*f - 2 = -z. Suppose o = -f*o. Find the second derivative of 0*t**4 - t + 5*t**4 + o*t wrt t. 60*t**2 Let k(c) be the second derivative of c**5/10 - 29*c**4/24 + 5*c**3/3 + 15*c. Let g(n) be the second derivative of k(n). What is the derivative of g(j) wrt j? 12 Let q(v) = -v - 12. Let k be q(-14). Find the second derivative of 7*n**3 - 60*n**2 + 33*n + 34*n**2 - 1 + 26*n**k wrt n. 42*n Let s = -823/2 + 413. Let p(q) be the second derivative of 0*q**3 + 1/30*q**6 + 0 + 0*q**5 - s*q**2 + 4*q + 0*q**4. Differentiate p(u) wrt u. 4*u**3 Suppose 2*d + 12 = -2*i, -d = -0*d + 2*i + 9. Let n = d + 6. What is the second derivative of 4*c + 6*c**n + 0*c - c**3 wrt c? 30*c Let m(u) be the first derivative of -2*u**8/7 + u**4/3 - 8*u + 5. Let q(b) be the first derivative of m(b). Find the third derivative of q(h) wrt h. -1920*h**3 Suppose 0 = -2*c + 3*i + 1 + 10, -1 = c + 5*i. What is the first derivative of 12 + c - 30 - 4*s - 20 wrt s? -4 Find the third derivative of 7*l**5 + 2*l**5 - 34*l**2 + 8*l**5 - 50*l**2 - 9*l**5 wrt l. 480*l**2 Find the second derivative of 6*l**5 + 566*l - 37*l**2 - 83*l**2 + 156*l**2 - 85*l**2 - 2*l**5 wrt l. 80*l**3 - 98 What is the derivative of w + w - 7*w + 88 + 57 + 0*w wrt w? -5 Let k = -63 + 64. Let b(w) = 3*w**2 + 5*w - 33. Let i(r) = -1. Let n(z) = k*i(z) - b(z). Differentiate n(f) with respect to f. -6*f - 5 Let d(b) be the second derivative of 1/6*b**3 - 7*b + 0*b**5 + 0*b**4 + 0 - 4/15*b**6 + 0*b**2. Find the second derivative of d(j) wrt j. -96*j**2 Let i be 6 + 16/(-24) - 5. Let v(q) be the second derivative of -3*q**2 - 4*q + i*q**3 + 0. Differentiate v(a) with respect to a. 2 Suppose 0 = 28*d - 183 + 71. Let j(c) be the second derivative of 0*c**2 - 11/6*c**3 + 0 + 5*c + 3/4*c**d. Find the second derivative of j(t) wrt t. 18 Let s(v) be the second derivative of -25/6*v**3 + 0*v**2 + 0 - 7/4*v**4 - 26*v. What is the second derivative of s(u) wrt u? -42 Let r be -2*1 - (-60)/4. Suppose 5*m - 22 = r. Find the third derivative of -2*l**3 + 7*l**2 + 5*l**3 - 3*l**3 + m*l**3 wrt l. 42 Let i(a) = 161*a**3 - 6*a**2 - 137*a - 3. Let o(b) = 1932*b**3 - 70*b**2 - 1645*b - 35. Let m(k) = 35*i(k) - 3*o(k). Find the second derivative of m(z) wrt z. -966*z Let b be ((17 - 4) + -3)/(1*2). Find the third derivative of 31*t**2 + 5*t**b + 15*t**5 - 28*t**2 wrt t. 1200*t**2 Differentiate 0 - 19 - 5*k + 8 + 5 + k wrt k. -4 Let r(q) = -q**3 + q**2 + q + 2. Let t be r(0). Find the third derivative of y**t - 4*y**6 - 3*y**2 + 6*y**6 wrt y. 240*y**3 Let h(k) be the first derivative of -2*k**3 + 5 - 3*k**3 + 7*k**3 - 2*k**6. What is the third derivative of h(o) wrt o? -720*o**2 Let h(v) be the first derivative of 13 - 7/2*v**2 + 0*v + 0*v**4 + 0*v**3 + 0*v**5 - 3/2*v**6. Find the second derivative of h(n) wrt n. -180*n**3 Let y(j) be the first derivative of 181*j**4/4 - 894*j - 148. Find the first derivative of y(r) wrt r. 543*r**2 Let l(z) be the second derivative of -107*z**3/6 - 33*z**2 - 18*z - 4. What is the derivative of l(s) wrt s? -107 Let r be 0 + (1 - 1) + 10. Let w = r - 8. Differentiate 4 - 5 + w*c - 2*c + 3*c**4 wrt c. 12*c**3 Let b(g) be the third derivative of g**4/12 - g**3 - 4*g**2. Let z be b(4). Find the third derivative of -3*a**4 - 2*a**2 + 3*a**2 - 3*a**2 - 3*a**z wrt a. -72*a Let m(t) be the first derivative of 29/2*t**2 + 0*t**3 + 0*t**4 + 0*t + 24 - 5*t**5. What is the second derivative of m(u) wrt u? -300*u**2 Let g = -260 - -395. What is the derivative of -21 + g*q**3 - 7 - 150*q**3 wrt q? -45*q**2 Let v(g) be the second derivative of -122*g**6/15 - 7*g**3/6 - 3*g**2/2 - 180*g. What is the second derivative of v(w) wrt w? -2928*w**2 Let k = -25 - -36. Suppose z + 4*a - 22 = 0, -2*z + a + k + 6 = 0. What is the third derivative of -6*x**3 + z*x**2 + x**2 + 3*x**2 - x**2 wrt x? -36 Let k be 4 + -3*10/15. Differentiate 7 + 14*n + k - 8*n wrt n. 6 Let d be (-28 - 0)/2 - -2. Let l(m) = -m**2 - 13*m + 5. Let s be l(d). What is the second derivative of -4*f - 16*f**5 + s*f**5 - 6*f wrt f? 20*f**3 What is the third derivative of -2*y - 11*y**2 + 151*y**2 + 2*y - 102*y**5 wrt y? -6120*y**2 Suppose 5 = 2*i - 3. Suppose k = -2*q + 3,
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -x**4/3 + x**2 - 9*x - 51. Let d(y) be the second derivative of t(y). Determine d(o(b)). 8*b**2 Let s(v) be the first derivative of 44*v**3 + 52 - 18*v**3 - 22*v**3. Let w(n) = 4*n. Calculate s(w(f)). 192*f**2 Let u(p) = -14*p. Let h(s) be the second derivative of -10*s**3/3 + 5*s**2/2 + 6302*s. Give h(u(j)). 280*j + 5 Let w(b) = b**2 - 7*b - 2. Let l be w(7). Let v be (-3 - (-3 + l))/1. Let k(r) = 2*r**v - 5*r**2 + r**2 + 0*r**2. Let n(m) = -7*m. Determine k(n(u)). -98*u**2 Let p(d) = -6*d. Let h(m) = -499443 + 353*m + 499443. Calculate h(p(w)). -2118*w Let p(g) = -2*g**2. Let x(v) = 240 - 4282*v**2 + 316*v - 240 - 316*v. Determine p(x(z)). -36671048*z**4 Let m(p) = 99*p + 10. Let r(f) = 188*f + 19. Let v(u) = -19*m(u) + 10*r(u). Let w(y) = 616*y**2. Determine v(w(t)). -616*t**2 Suppose -6*a + a + 4*w + 96 = 0, -3*w + 36 = 3*a. Let y(t) = 16*t - a*t + 31*t. Let x(h) be the second derivative of h**4/12 - 2*h + 40. Give x(y(j)). 961*j**2 Let l(b) = 13*b**2 + 8807*b. Let w(h) = 4*h + 239. Give w(l(q)). 52*q**2 + 35228*q + 239 Let r(f) be the third derivative of 3*f**5/10 - 2*f**3/3 - f**2. Let k(q) be the second derivative of -q**4/12 + 37*q + 783. Determine k(r(s)). -324*s**4 + 144*s**2 - 16 Let n(d) = -55*d**2. Let i be 13/(-2) - (-50 + 43). Let y(o) be the first derivative of 0*o - 27 + i*o**2. What is n(y(c))? -55*c**2 Let u(d) be the first derivative of 63*d**2 - 5824. Let p(w) = -2*w - 4. What is p(u(t))? -252*t - 4 Let v(d) = d**2. Let y(l) be the third derivative of -l**4/24 - 989*l**3/2 + 2652*l**2 + l. Calculate v(y(h)). h**2 + 5934*h + 8803089 Let j(h) be the second derivative of 73*h**4/4 - 664*h. Let u(i) be the third derivative of -i**5/60 - 45*i**2. Calculate j(u(w)). 219*w**4 Let w(u) = 19*u - 130 + 130 + 38*u - 12*u. Let g(q) = 13*q - 7. Let h(p) = 9*p - 5. Let d(o) = 5*g(o) - 7*h(o). Determine w(d(s)). 90*s Let t(j) = 53*j - 6113. Let m(w) = 7*w. What is m(t(a))? 371*a - 42791 Let g be 4 - (-4 - (1 + -41)). Let d = -29 - g. Let s(v) = v**2 - 3. Let r(b) = 2*b**2 - 8. Let m(j) = d*r(j) - 8*s(j). Let i(n) = 19*n. What is m(i(o))? -722*o**2 Let p(i) = i**2. Let g(l) be the second derivative of -7*l**7/360 - 19*l**4/12 + 71*l. Let u(q) be the third derivative of g(q). What is p(u(z))? 2401*z**4 Let n(w) be the second derivative of w**5/24 + w**4/12 + 43*w**3/6 - w**2/2 - 45*w. Let d(r) be the second derivative of n(r). Let p(o) = o. Calculate p(d(g)). 5*g + 2 Let p(u) = -16924*u - 16924*u + 50776*u - 16930*u. Let x(b) be the first derivative of -6*b**3 + 1. What is p(x(v))? 36*v**2 Let x(u) = -3*u**2 + 6*u**2 - 30*u**2 + 36*u**2. Let v(z) = -z - 3*z - z + 0*z. What is x(v(y))? 225*y**2 Let v(x) = x**2. Suppose 164*m = 167*m - 32958. Let j(l) = 99*l**2 + 10986 - m. Calculate j(v(s)). 99*s**4 Let y(o) be the third derivative of 4*o**5/15 - 19*o**2. Let c(s) be the first derivative of -2*s**2 - 71. What is c(y(l))? -64*l**2 Let d(p) = p**3 - 2*p**2 - 12*p - 15. Let a be d(5). Let b(v) = 5*v - 7*v + a*v. Let u(n) = 5*n. Determine b(u(q)). -10*q Let p(c) = 26*c**2. Let l(i) be the first derivative of -19*i**2 - 12500. Give p(l(f)). 37544*f**2 Let m(y) = 4*y. Let j(i) = -9600*i**2 + 133*i - 19. Let d(b) = -3201*b**2 + 42*b - 6. Let s(t) = 19*d(t) - 6*j(t). What is m(s(o))? -12876*o**2 Let r(o) = -112*o. Let u(f) be the first derivative of 8*f**3/3 + 288. Calculate u(r(p)). 100352*p**2 Let i(t) = -1222*t. Let o(m) be the first derivative of -2*m**2 + 790. Determine i(o(n)). 4888*n Let m(z) be the second derivative of -8*z**3/3 + 22*z. Let g(k) be the first derivative of k**2 + 63. Give g(m(h)). -32*h Let l(v) = -354*v**2. Let g(q) = -903*q + 28. Let f(h) = 290*h - 9. Let c(a) = 28*f(a) + 9*g(a). Calculate c(l(o)). 2478*o**2 Suppose 0 = i - 4, 3*x - 8*x = 5*i - 315. Let s(q) = -48*q + 52*q + 28*q + x*q. Let c(b) = -2*b**2. Determine c(s(o)). -16562*o**2 Let i(g) = 79*g + 1641. Let d(n) = -4*n + 2. Calculate i(d(s)). -316*s + 1799 Let v = -3969 + 3969. Let l(k) be the second derivative of 0 - 13/6*k**4 + 0*k**3 + v*k**2 + 10*k. Let w(p) = p. Calculate w(l(n)). -26*n**2 Let o(p) = -p - 1. Let s(g) = 103*g**2 + 1856*g - 3. Calculate s(o(v)). 103*v**2 - 1650*v - 1756 Let l(i) = 36*i**2. Let g(m) be the second derivative of m**5/120 - 17*m**3/6 + 95*m. Let z(r) be the second derivative of g(r). Determine z(l(h)). 36*h**2 Let q(h) = -46*h**2. Let i = -552 + 581. Let c(z) = 6*z + 5*z + 20*z - i*z. What is q(c(x))? -184*x**2 Let g(x) = -4*x. Suppose w = -3*h - 5, -h - 25 = 2*h + 5*w. Suppose h*u = -4*u. Let v(f) = 5*f + u*f - f. What is g(v(z))? -16*z Let j(o) = 8*o - 2. Let a(c) = 28*c + 22*c + 13*c - 11*c - 3*c. Calculate j(a(m)). 392*m - 2 Let h(r) = 20*r - 28. Let k(p) = 10*p**2 + 13*p - 51. Determine k(h(a)). 4000*a**2 - 10940*a + 7425 Let d(o) be the first derivative of -171*o**3 - 126. Let j(q) = 4*q. Give j(d(a)). -2052*a**2 Let r(m) = -m. Let x(v) = 20504230*v. Determine r(x(o)). -20504230*o Let j(g) = 4*g. Let h(v) = -2*v**2 + 2784735. Calculate j(h(i)). -8*i**2 + 11138940 Let h(j) = -46*j**2 - 2*j - 1305. Let k(a) = -a + 1. Give k(h(m)). 46*m**2 + 2*m + 1306 Let q(b) = b + 1. Let d(l) = -108*l - 135. Let y(a) = -3*d(a) - 405*q(a). Let h(u) be the third derivative of -u**4/24 - 4085*u**2. What is h(y(j))? 81*j Suppose 2*j = -q + 6, 0 = -j + 4*j - 6. Let c(t) = -4*t**2 + 119*t**q + 105*t**2. Let y(f) = 2*f**2. Calculate y(c(l)). 96800*l**4 Let p(m) = 8*m**2 + m. Let s(k) = -2*k - 6. Let h(z) = 96*z + 60. Let a(x) = h(x) + 10*s(x). Calculate a(p(g)). 608*g**2 + 76*g Let r be 0 + 1 + 17*1/17. Let m(q) = -q**2 + 2*q**r + 0*q**2. Let x(n) = -257*n. Give m(x(t)). 66049*t**2 Let k(c) = -4*c. Let m(p) = 6*p**2 + 2. Let n be m(-2). Let z = 84 - n. Let w(j) = -49*j + z*j - 2 + 2. What is w(k(u))? -36*u Let g(r) = 245*r**2. Let t(v) = 14*v + 5. Let o be t(0). Let y(z) = o*z - 3*z + 3*z - 6*z. What is g(y(u))? 245*u**2 Let h(g) = -6401536*g**2. Let x(y) = -3*y**2. Give x(h(t)). -122938989477888*t**4 Let u(b) = -29*b + 0*b + 9*b + 15*b - 3*b + 10*b. Let o(g) = 27*g + 37*g + 54*g. Determine o(u(j)). 236*j Let b(d) = 348*d. Let i(k) = 149*k. Let j(r) = 6*b(r) - 14*i(r). Let z(o) be the second derivative of 3*o**4 + o. Calculate j(z(a)). 72*a**2 Suppose 2*o = -0*o + 10. Let n be -1 + 3/(o - 4). Let t(y) = -6*y**2 - 3*y**2 + n*y**2 + 4*y**2. Let v(d) = 2*d**2. Give t(v(x)). -12*x**4 Let n(i) = -3224*i**2 + 70*i + 1002*i**2 - 144*i + 74*i. Let p(m) = 3*m**2. Determine p(n(c)). 14811852*c**4 Let h(u) = 4*u**2 + 12*u. Let c(j) = 5*j**2 + 20*j. Let a(w) = -3*c(w) + 5*h(w). Let g(v) = -23*v. Calculate g(a(f)). -115*f**2 Let h(z) = z**2. Let t(o) be the first derivative of o**2/2 + 2299*o - 1927. Calculate t(h(d)). d**2 + 2299 Let v(w) = -w - 124. Let k(q) be the second derivative of 2*q**4/3 + 4845*q - 2. Determine k(v(j)). 8*j**2 + 1984*j + 123008 Let d(q) = -3*q + 0*q + 2*q. Let f be (144/12)/(3/1004). Let n(v) = -f - v + 4016. Determine d(n(h)). h Let p(b) = 2*b. Let i(z) = -21470743*z**2. Give p(i(k)). -42941486*k**2 Suppose -5*a + 42 = 9*a. Let s(m) = m**2. Let c(x) = -x**2. Let h(d) = a*c(d) + 2*s(d). Let y(p) = -7*p**2 + 7*p. Give h(y(w)). -49*w**4 + 98*w**3 - 49*w**2 Let o(y) = -7*y. Let a(f) = 3*f**2 - f + 4. Let x(g) = -3686*g**2 + 1164*g - 4656. Let t(c) = -1164*a(c) - x(c). Determine o(t(s)). -1358*s**2 Let s(d) = 112*d - 1. Let l(y) = 14*y**2 - 694. Determine l(s(k)). 175616*k**2 - 3136*k - 680 Let l(n) = n. Let m(p) = -274*p - 19. Let r(v) = -67*v - 5. Let t(o) = 6*m(o) - 25*r(o). Determine l(t(u)). 31*u + 11 Let t(w) = -11*w. Let c(u) = -85979 + 85979 + 1592*u**2. What is c(t(i))? 192632*i**2 Let o(t) = -5*t**2 - 35*t - 5. Let z(l) = -7*l - 1. Let c(n) = o(n) - 5*z(n). Let y(h) = -132*h. Give y(c(f)). 660*f**2 Let d(m) = -363*m**2. Let a(q) = -310038*q. Give d(a(b)). -34892852804172*b**2 Let a(l) = 2*l. Let t(q) = 3*q**2 - 6*q + 2. Let z be t(2). Suppose 4*n = 4*i - 64, -n = z*i - 0*i - 17. Let v(o) = -25*o + 14*o + i*o + 21*o**2. Give a(v(h)). 42*h**2 Let l(m) = -12*m + 32. Let s(v) be the first derivative of -v**3/3 - 4450. Give l(s(d)). 12*d**2 + 32 Let t(k) = 30*k**2. Let f(m) = 48*m**2 - 12355 + 24716 - 12361. What is t(f(v))? 69120*v**4 Let u(b) = 27*b**2. Let i = -395 + 451. Let x(z) = -54*z + 160*z - i*z
{ "pile_set_name": "DM Mathematics" }
. 5 Let v = -29 - -24. Let d be (2 - -2)*(-10)/v. Suppose -h - 21 = -d*h. Let s(o) = -2*o**2 + 4*o - 1. Give s(h). -7 Let k(b) = -5*b**2 - 2*b - 4. Let v(u) = u**2 - u. Let f(r) = -8*r**2 - 8*r - 7. Let j(q) = f(q) - 3*v(q). Let t(i) = -6*j(i) + 13*k(i). Give t(-7). 11 Let m be 12/(-4)*-1*-16. Let s be (-4)/(-12)*m/(-2). Let i(w) = 3*w**2 + s*w**2 - 10*w**2. Give i(2). 4 Let u(l) = -3*l - 4. Suppose -4*z - 34 = 4*x - 2, 4*x + 36 = -2*z. Let a = x - -6. Determine u(a). 8 Let y(t) = -4*t - 2. Let m(g) = 7*g**2 + 7*g + 4. Let o(x) = -m(x) - 2*y(x). Suppose 3*z - 4 = -1. Determine o(z). -6 Let d(q) be the first derivative of 3/2*q**2 + 0*q - 2/3*q**3 - 1/2*q**4 - 2. Let k(p) = p**3 - p**2. Let g(u) = d(u) + 3*k(u). Give g(4). -4 Let t(o) be the second derivative of 0*o**2 - 16*o + 0 + 13/12*o**4 + 0*o**3. Give t(-1). 13 Let s(d) = -3*d**3 + 24*d**2 - 27*d + 12. Let l(f) = 2*f**2 - f + 3. Let q be l(0). Let t(m) = -m**3 + 8*m**2 - 9*m + 4. Let r(v) = q*s(v) - 8*t(v). Give r(7). -10 Let t(x) be the first derivative of x**2/2 - 14*x + 78. Determine t(10). -4 Let l(k) = k + 10. Let x = -37 - -41. Suppose 5*h - x*s + 50 = 0, -3*h + 2*s - 6*s = 30. Determine l(h). 0 Suppose 3*s - 3 = 27. Suppose -20 = -5*d + s. Let o(z) = z**3 - 6*z**2 + z - 8. Calculate o(d). -2 Let r(g) = -g**3 + 5*g**2 + 3*g**2 - g**2 - 4 + 0*g**2. Let p = -22 - -15. Let i(s) = -s. Let n be i(p). Determine r(n). -4 Let m(w) = -w - 6. Let c(x) = -x**2 - 3*x - 2. Let p be c(-1). Suppose p*n - 4*n = n. Calculate m(n). -6 Let p = 8 + -4. Suppose 0 = 3*f - 16 + 1. Suppose 5*y = -p*k + 3, -k + f*k + y + 9 = 0. Let s(i) = -3*i - 3. Determine s(k). 6 Let s be 1 - (-1 - (-4)/4). Let d(z) = -11*z**2 + 2*z - 1. Determine d(s). -10 Let y(h) = -h - 1. Let q(x) = -1. Let f(o) = q(o) - y(o). Let g(n) = 3*n**2 - 5*n. Let u(v) = 4*f(v) + g(v). Calculate u(-1). 4 Let n(d) = d**2 + 1. Suppose 2*v + 8 = 12. Let u = v - -8. Suppose 2*a - 3*c + c = 12, 0 = -5*a + c + u. Determine n(a). 2 Suppose -3*u = u + 3*o - 40, -3*u = -o - 17. Let t(h) = -h + 2*h - 2 - 6. Determine t(u). -1 Let l(k) be the first derivative of -5*k**2/2 + 16*k - 519. Calculate l(12). -44 Let b(m) = -4*m**3 + 2*m**2 - 3*m + 3. Let o = 59 - 47. Let z(j) = j**2 - 10*j - 22. Let t be z(o). What is b(t)? -27 Let l(k) be the second derivative of 10*k + 0*k**3 - 1/12*k**4 + 0 - 2*k**2. Let b(w) be the first derivative of l(w). Calculate b(2). -4 Suppose 2*u - 3*v = -10, 4*u - 3*v + 20 = v. Let x(b) = -b + 1. Let o(g) = -3*g. Let m(s) = o(s) - x(s). Give m(u). 9 Suppose 41 = 3*h - 5*x, -46 = -h - 3*h - 2*x. Let l(o) = o**3 - 11*o**2 - 13*o + 13. Let z be l(h). Let r(c) = c**2 + 0*c - 6*c**2 - c - 2*c**2. What is r(z)? -8 Let g = 16 - 10. Let x(i) = -3*i - 8 - 5*i + 5*i. Let s(t) = -t. Let n(f) = g*s(f) - x(f). Determine n(6). -10 Let c(x) be the third derivative of x**5/60 - x**4/8 - 5*x**3/6 + 2*x**2 - 36*x. Determine c(6). 13 Let v(a) = -5*a - 8 - 4 - 390*a**3 + 2*a**2 + 397*a**3. Let u(i) = 4*i**3 + i**2 - 3*i - 6. Let q(y) = -5*u(y) + 3*v(y). Calculate q(0). -6 Let y(k) be the second derivative of k**3/6 + 5*k**2/2 - 5*k. Let w = 78 - 72. What is y(w)? 11 Let p(t) be the third derivative of t**5/60 + t**4/8 - 3*t**3/2 + 2*t**2 - 37*t. Determine p(3). 9 Let j(q) = 6*q**2 + 7*q**2 - 26*q**2 - 1 + 5*q**2 + 8*q + 7*q**2. Calculate j(6). 11 Suppose -16 - 32 = 6*k. Let i(a) = a**2 + 12*a + 24. Give i(k). -8 Let y(s) = s**2 - 33*s + 13. Let t be y(33). Let d(r) = r**3 - 14*r**2 + 13*r. Give d(t). 0 Suppose 168 = -26*w - 248. Let c(x) = x**2 + 20*x + 16. Calculate c(w). -48 Suppose -3*n = t + 5, t = -3*n - t - 1. Let j be -3 - -1 - n - 2. Let k(u) = 5*u - 4. Let i(p) = 6*p - 3. Let q(y) = -3*i(y) + 2*k(y). Determine q(j). 9 Let s be 4/(1 + -3) - -2. Let z(p) = -p**2 + 2*p + 6. Let g(n) = -n**3 + n**2 - n + 5. Let a(k) = g(k) + z(k). Calculate a(s). 11 Suppose -5*j - 5*o = -15, 2*j - 3*j - 2*o = -3. Suppose -21 + 0 = -j*g. Let d(f) = 2*f - 8. Calculate d(g). 6 Let d(a) = -4*a**2 - a. Suppose -2*k + 19 = -k. Suppose -157 + 137 = n. Let x = n + k. What is d(x)? -3 Suppose -3*d = -12, -r - r - 2*d = -32. Suppose r*s - 1 - 11 = 0. Let t(y) = -4*y + 1. Determine t(s). -3 Let a be (-8)/(-16) + (-6)/(-4). Suppose u = -3*t - 3, -u + a + 3 = t. Let z(y) = y - 6. Calculate z(u). 3 Let w(v) = -2*v - 3. Suppose -11*c = -17*c - 270. Let u be 3*3*(-40)/c. Calculate w(u). -19 Suppose 4*n + 7 = -m, 35 = -5*m - 0*m + 5*n. Let q(b) = -b**2 - 2*b + 5. What is q(m)? -30 Let b(j) = 14*j**3 - j**2 + j. Suppose p + 5*m - 1 = 0, -2*p + 2 = -6*m + 9*m. What is b(p)? 14 Let i(f) = 9*f - 9. Let x(d) = -8*d + 8. Let w(l) = -4*i(l) - 5*x(l). Let z = -7099 - -7103. Give w(z). 12 Let i(u) = 572*u**2 - 271*u**2 - 277*u**2 - 1 - 2*u. Give i(-1). 25 Suppose -2*i - 2*i = 0. Suppose -r - r - p + 6 = i, -5*r = 2*p - 13. Let u(m) = -3*m**3 + 2*m**2 - 7*m**3 + m - 3*m**2 + 5 - 6. Give u(r). -11 Let k(v) = 4*v + 6. Let q = -181 + 181. Determine k(q). 6 Let t be 40/32*-2*12/(-5). Let f(v) = -v**3 + 5*v**2 + 9*v - 6. Calculate f(t). 12 Let d(b) be the second derivative of -b**3/3 - b**2 + b. Suppose -65*j = -68*j + 15. Determine d(j). -12 Let w(h) be the third derivative of h**5/30 - 7*h**4/8 - 2*h**3/3 + 161*h**2 + 3*h. Determine w(11). 7 Let z(c) = 620*c - 1246*c - 1 + 617*c. Give z(4). -37 Let b(f) = f**2 + f - 1. Let v(p) = -3*p**2 + 10*p + 2. Let a(u) = -4*b(u) - v(u). Give a(-14). 2 Let y be (100 - 107) + (5 + -1)/(-2). Let u(t) = t + 13. Calculate u(y). 4 Let i(k) = 2*k**2 + k + 1. Let g(v) = -2*v**2 - 1. Let q(x) = g(x) + 2*i(x). Suppose 4*p = 4 - 12. What is q(p)? 5 Let i be (-6)/(1 - 0/1). Let x(z) = z**3 + 18*z**2 - z - 16. Let s be x(-18). Let b(w) = -w**s + 1 - 7*w + w - 7. Calculate b(i). -6 Let s(r) = -r**2 - 5*r - 3. Suppose 0 = 2*p + 2*p + 56. Let g = p + 11. Determine s(g). 3 Let d(p) = 4*p + 7. Let g = 403 - 407. What is d(g)? -9 Let n(c) = 16*c - 1. Let d(b) = -b**2 - 9*b + 1. Let t be d(-9). Let h(i) = -i**2 + 4*i - 4. Let g be h(t). Give n(g). -17 Let i(f) = -39*f - 9. Let k(r) = -21*r - 4. Let a(p) = 6*i(p) - 11*k(p). Give a(-4). 2 Let w be -4 + (0 - -2) - 4. Let v(o) = -o**3 - 6*o**2 - 6*o - 2. What is v(w)? 34 Suppose -535*h + 542*h + 28 = 0. Let f(m) be the second derivative of m**3/6 - 3*m**2/2 + 2*m. Give f(h). -7 Let z(i) = -i**3 - 5*i**2 + i - 1. Let r(s) = s**2 - 2*s - 2. Let j be r(-2). Let v(t) = 13 - 4*t + j*t + t - t. Let y be v(-9). Calculate z(y). -6 Let p(t) = -t**3 + 13*t**2 + 14*t. Let c be p(14). Let y be 1 - (-6)/(-9)*-3. Let k(n) = n**3 + 33*n + 13 - 32*n - 2*n**y. What is k(c)? 13 Let h(k) = 16*k + 9*k + 10*k**2 + 0 - 11*k**2 - 1 - 24*k. Suppose -3*y = -y + 4. What is h(y)? -7 Suppose -r + 12 = 2*g, 2*g + 3*r = 5*r. Let d(s) = -4*s**2 + 2*s - 5. Give d(g). -61 Let r be (-6 - 1) + -106 + 118. Let x(o) be the third derivative of -10*o**2 + 2/3*o**3 + 0 + 0*o - 5/24*o**4 - 1/60*o**r. Determine x(-5). 4 Let j(n) = -n**3 + n**2 - n. Let d = 6 - -3. Suppose 10*z - 1 = d*z. Calculate j(z). -1 Let h(o) = o + 3*o - 3*o + 0*o - 1. Let a be 40/15*9/4. Give h(a). 5 Let b(f) = 17*f**3 - f + 2. Let g be b(1). Suppose -g*k + 23*k - 15 = 0. Let n(w) = -w + 3. What is n(k)? 0 Let a(i) = -i**3 - 6*i**2 - 3. Let u(n) be the third derivative of n**6/120 - n**5/20 - n**4/24 - n**3/2 - 4*n**2. Let q be u(3). Calculate a(q). -3 Suppose -r - l = 1, -15 = 5*r - 2*l - 3. Let o(a) = a + 3 + 0 + 7*a**2 - 1. Let f(s) = 1. Let x(t) = r*f(t) + o(t). What is x(-1)? 6 Let x(s) = 5*s - 5. Let a(o) = 4*o - 8. Let g(t) = t + 1. Let j(f) = a(f) + 2*g(f). Let k(y) = -4*j(y) + 5*x(y). Let u(c) = c - 1. Let p be u(-2). Give k(p). -4 Let z(i) be the second derivative of i**5/20 + 5*i**4/12 - 4*i**3/3 + 2*i**2 + 18*i. Calculate z(-6). 16 Let l(k) be the second derivative of -k**3/2 + k**2/2 - 2*k. Let p = -24 - -24. Suppose -4*w - 12 + 4 = p. Determine l(w). 7 Let b(u) be the second derivative of -u**5/20 + u**4/3 - u**3/3 + 3*u**2 - 295*u. What is b(5)? -29 Suppose 30*a + 2 = 29*a. Let x(d) = 3*d**2 - d. Let k(h) = h**2 - h. Let z(g) = a*k(g) + x(g). Let n(p) = p**2 - 3*p. Let f be n(3). Give z(f). 0 Let v be (-2)/12*14 + (-6)/9. Let i(q) = 12*q - 1. Give i(v). -37 Suppose -19 + 91 = -12*i. Let u(q) = q**2. Let y(x) = 5*x + 4. Let k(m) = -2*u(m) - 2*y(m). Calculate k(i). -20 Let g
{ "pile_set_name": "DM Mathematics" }
s the o'th term of 24, 48, 68, 84, 96, 104? -2*o**2 + 30*o - 4 What is the b'th term of 9, 17, 25, 33? 8*b + 1 What is the d'th term of -2414, -2412, -2410, -2408, -2406, -2404? 2*d - 2416 What is the g'th term of 802, 1601, 2400? 799*g + 3 What is the x'th term of 991, 1993, 2997, 4003, 5011, 6021? x**2 + 999*x - 9 What is the x'th term of -75, -221, -357, -477, -575, -645? x**3 - x**2 - 150*x + 75 What is the f'th term of 309, 306, 301, 294, 285? -f**2 + 310 What is the z'th term of 30, 80, 142, 222, 326, 460? z**3 + 43*z - 14 What is the w'th term of 430, 895, 1346, 1777, 2182, 2555? -w**3 - w**2 + 475*w - 43 What is the a'th term of 551, 547, 535, 509, 463, 391? -a**3 + 2*a**2 - 3*a + 553 What is the x'th term of 65, -27, -133, -259, -411, -595, -817? -x**3 - x**2 - 82*x + 149 What is the z'th term of 263, 528, 789, 1046? -2*z**2 + 271*z - 6 What is the w'th term of -192, -196, -210, -240, -292, -372? -w**3 + w**2 - 192 What is the h'th term of 2073, 2066, 2047, 2010, 1949, 1858, 1731, 1562? -h**3 + 2074 What is the d'th term of 5874, 5873, 5872, 5871, 5870, 5869? -d + 5875 What is the x'th term of -278, -283, -288? -5*x - 273 What is the b'th term of 379, 385, 391, 397? 6*b + 373 What is the u'th term of 1167, 2332, 3497, 4662, 5827, 6992? 1165*u + 2 What is the s'th term of 321, 290, 259, 228, 197, 166? -31*s + 352 What is the x'th term of -63, -71, -79, -87? -8*x - 55 What is the p'th term of 33975, 33977, 33979, 33981, 33983, 33985? 2*p + 33973 What is the a'th term of -35, -122, -271, -488, -779, -1150, -1607, -2156? -a**3 - 25*a**2 - 5*a - 4 What is the d'th term of 225, 259, 293? 34*d + 191 What is the n'th term of -67, -45, -17, 11, 33, 43, 35, 3? -n**3 + 9*n**2 + 2*n - 77 What is the i'th term of -53, -143, -209, -239, -221? 2*i**3 - 104*i + 49 What is the c'th term of -8, -14, -18, -14, 4, 42, 106, 202? c**3 - 5*c**2 + 2*c - 6 What is the o'th term of 268, 286, 316, 364, 436? o**3 + 11*o + 256 What is the z'th term of 1466, 1457, 1448, 1439, 1430? -9*z + 1475 What is the j'th term of -2094, -2083, -2072, -2061? 11*j - 2105 What is the z'th term of -722, -734, -756, -794, -854, -942, -1064, -1226? -z**3 + z**2 - 8*z - 714 What is the o'th term of -1126, -2255, -3382, -4507, -5630? o**2 - 1132*o + 5 What is the n'th term of 241, 238, 241, 256, 289, 346? n**3 - 3*n**2 - n + 244 What is the b'th term of 11, 30, 75, 158, 291? 2*b**3 + b**2 + 2*b + 6 What is the b'th term of -10, -43, -78, -109, -130, -135, -118? b**3 - 7*b**2 - 19*b + 15 What is the p'th term of -280, -315, -374, -457, -564? -12*p**2 + p - 269 What is the u'th term of 248, 210, 172, 134, 96? -38*u + 286 What is the b'th term of 28, 76, 122, 166, 208, 248? -b**2 + 51*b - 22 What is the q'th term of -278, -264, -236, -188, -114, -8, 136, 324? q**3 + q**2 + 4*q - 284 What is the s'th term of -280, -303, -326? -23*s - 257 What is the f'th term of -52, -55, -58, -61, -64? -3*f - 49 What is the x'th term of 1894, 3773, 5652, 7531, 9410? 1879*x + 15 What is the j'th term of -10, -36, -74, -130, -210? -j**3 - 19*j + 10 What is the f'th term of 46, 189, 432, 775? 50*f**2 - 7*f + 3 What is the r'th term of -3, -17, -65, -165, -335, -593? -3*r**3 + r**2 + 4*r - 5 What is the c'th term of -40, -64, -70, -58, -28, 20? 9*c**2 - 51*c + 2 What is the a'th term of -106, -90, -56, 2, 90, 214, 380, 594? a**3 + 3*a**2 - 110 What is the i'th term of -1678, -1677, -1676, -1675, -1674? i - 1679 What is the c'th term of -46582, -46580, -46578, -46576? 2*c - 46584 What is the f'th term of -65, -208, -453, -806, -1273, -1860, -2573, -3418? -f**3 - 45*f**2 - f - 18 What is the t'th term of 1122, 2242, 3366, 4494, 5626, 6762, 7902? 2*t**2 + 1114*t + 6 What is the t'th term of -26, -42, -44, -26, 18? t**3 + t**2 - 26*t - 2 What is the o'th term of 11681, 11685, 11691, 11699, 11709, 11721? o**2 + o + 11679 What is the n'th term of 98, 195, 290, 383? -n**2 + 100*n - 1 What is the f'th term of -449, -3576, -12057, -28568, -55785? -446*f**3 - f**2 - 2*f What is the i'th term of 36, 144, 326, 582, 912, 1316? 37*i**2 - 3*i + 2 What is the z'th term of -210, -183, -150, -117, -90, -75, -78? -z**3 + 9*z**2 + 7*z - 225 What is the f'th term of -111, -139, -199, -303, -463, -691, -999, -1399? -2*f**3 - 4*f**2 - 2*f - 103 What is the i'th term of 987, 989, 991, 993? 2*i + 985 What is the z'th term of 215, 164, 79, -40, -193, -380? -17*z**2 + 232 What is the s'th term of -233, -234, -235? -s - 232 What is the k'th term of -14, -41, -96, -185, -314, -489, -716? -k**3 - 8*k**2 + 4*k - 9 What is the w'th term of 8, 13, 46, 125, 268? 3*w**3 - 4*w**2 - 4*w + 13 What is the r'th term of -27, -28, -29? -r - 26 What is the h'th term of -110, -101, -96, -101, -122? -h**3 + 4*h**2 + 4*h - 117 What is the t'th term of -135, -287, -441, -597, -755, -915? -t**2 - 149*t + 15 What is the z'th term of -5522, -5520, -5518? 2*z - 5524 What is the k'th term of 327, 658, 991, 1326, 1663? k**2 + 328*k - 2 What is the z'th term of -15, -19, -17, -3, 29, 85, 171, 293? z**3 - 3*z**2 - 2*z - 11 What is the z'th term of -54, -68, -94, -132? -6*z**2 + 4*z - 52 What is the r'th term of 17, 22, 35, 62, 109? r**3 - 2*r**2 + 4*r + 14 What is the x'th term of -113, -137, -163, -191, -221? -x**2 - 21*x - 91 What is the o'th term of -2462, -2453, -2440, -2423, -2402? 2*o**2 + 3*o - 2467 What is the m'th term of 7, 19, 31, 43, 55? 12*m - 5 What is the d'th term of 43, 79, 105, 121? -5*d**2 + 51*d - 3 What is the t'th term of -694, -703, -712, -721, -730? -9*t - 685 What is the u'th term of 249, 509, 767, 1023, 1277, 1529? -u**2 + 263*u - 13 What is the w'th term of -45, -83, -117, -147, -173, -195, -213? 2*w**2 - 44*w - 3 What is the s'th term of 12, 13, 4, -21, -68, -143? -s**3 + s**2 + 5*s + 7 What is the a'th term of 15, 63, 107, 147, 183? -2*a**2 + 54*a - 37 What is the k'th term of -59, 51, 147, 223, 273? -k**3 - k**2 + 120*k - 177 What is the t'th term of 851, 847, 843, 839, 835? -4*t + 855 What is the v'th term of 58, 94, 130, 166? 36*v + 22 What is the c'th term of -35, -53, -79, -107, -131? c**3 - 10*c**2 + 5*c - 31 What is the o'th term of -40, 5, 132, 383, 800, 1425, 2300? 7*o**3 - o**2 - o - 45 What is the i'th term of -2, 26, 94, 220, 422, 718, 1126? 3*i**3 + 2*i**2 + i - 8 What is the w'th term of 2046, 2045, 2044, 2043, 2042, 2041? -w + 2047 What is the x'th term of -29, -58, -91, -122, -145? x**3 - 8*x**2 - 12*x - 10 What is the k'th term of -317, -1298, -2933, -5222, -8165, -11762, -16013? -327*k**2 + 10 What is the t'th term of -269, -536, -801, -1064, -1325, -1584, -1841? t**2 - 270*t What is the n'th term of 274, 252, 244, 256, 294, 364, 472, 624? n**3 + n**2 - 32*n + 304 What is the d'th term of -1321, -1319, -1317, -1315, -1313? 2*d - 1323 What is the a'th term of 36, 35, 32, 27, 20, 11, 0? -a**2 + 2*a + 35 What is the k'th term of 407, 411, 415, 419, 423, 427? 4*k + 403 What is the a'th term of 34, 89, 180, 307, 470? 18*a**2 + a + 15 What is the z'th term of 6793, 13589, 20385, 27181? 6796*z - 3 What is the w'th term of 1924, 1929, 1938, 1951, 1968, 1989, 2014? 2*w**2 - w + 1923 What is the m'th term of -112, -347, -730, -1255, -1916? m**3 - 80*m**2 - 2*m - 31 What is the b'th term of -254, -512, -762, -998, -1214, -1404, -1562, -1682? b**3 - 2*b**2 - 259*b + 6 What is the i'th term of 318, 651, 984, 1317, 1650? 333*i - 15 What is the d'th term of -42, -74, -140, -252, -422, -662? -2*d**3 - 5*d**2 - 3*d - 32 What is the i'th term of 3, -5, -25, -63, -125, -217, -345? -i**3 - i + 5 What is the j'th term of -456, -689, -910, -1113, -1292? j**3 - 240*j - 217 What is the v'th term of -1, -6, -11, -16, -21? -5*v + 4 What is the n'th term of 0, 8, 24, 48, 80, 120, 168? 4*n**2 - 4*n What is the m'th term of 107, 156, 203, 248, 291, 332? -m**2 + 52*m + 56 What is the s'th term of 15225, 15223, 15221, 15219? -2*s + 15227 What is the o'th term of 5, 18, 37, 62? 3*o**2 + 4*o - 2 What is the d'th term of 56, 168, 338, 566, 852, 1196, 1598? 29*d**2 + 25*d + 2 What is the p'th term of 650, 656, 662, 668, 674, 680? 6*p + 644 What is the x'th term of 15, 44, 91, 156? 9*x**2 + 2*x + 4 What is the l'th term of -1156, -1155, -1154, -1153, -1152? l - 1157 What is the p'th term of -247, -486, -725? -239*p - 8 What is the f'th term of -
{ "pile_set_name": "DM Mathematics" }
- 41*x**2 + 169*x - 52*x**2 + 133*x**2 to the form d*x + o*x**2 + p and give o. 4 Rearrange (7*d - 3*d - 2*d)*(-22*d + 7*d - 40 + 12*d) to y*d**2 + x + w*d and give w. -80 Express ((0 - 4 + 3)*(3*n + n - 3*n) + 3*n - 4*n + 0*n)*(1 + 4 - 2 + (0 - 6 + 4)*(3 + 0 - 2))*(5 - 2 + 1) in the form t + o*n and give o. -8 Express (-2 + 14 + 23)*(s - 4 + 4)*(0 + 3 - 1 + (2 + 2 - 3)*(-3 + 1 + 3) + 4 + 0 - 2 + 3 - 3 - 3 - 1 + 1 - 9) as w*s + r and give w. -245 Express (2 + 6 - 2)*(4 + 3 - 4)*(-8 - 5*x + 8)*(-4*x + 0*x + 3*x) as v*x + g*x**2 + h and give g. 90 Rearrange -22*t + 1077*t**2 - 2 - 1077*t**2 - 3*t**3 to the form y*t**2 + n*t + w + g*t**3 and give n. -22 Express -21 - 19*m + 46 + 148*m - 27 as y*m + x and give x. -2 Express 12 + 14 + y**4 + 3*y - 20 + 4*y**2 as v*y**3 + b + h*y + g*y**4 + c*y**2 and give h. 3 Express 2*h + 143*h**2 + 10*h**4 - h**3 - h**4 - 71*h**2 - 71*h**2 - 11*h**3 in the form v*h**4 + j*h**3 + m*h + t + z*h**2 and give v. 9 Rearrange (4*c**2 + 9*c**2 - 10*c**2)*(-5*c - 3*c + 3*c) + 3*c**3 + 3*c**3 - 2*c**3 to the form x + m*c**2 + u*c + d*c**3 and give d. -11 Rearrange -23 - p**3 + 3*p**2 - 18*p - 3*p**2 + 24*p + 27 to o + s*p**2 + j*p + n*p**3 and give s. 0 Express (-11 + 19 + 5)*(26 + 20*l - 26) in the form b + h*l and give h. 260 Rearrange (-2*v + 3*v - 3*v)*(5 - 25 - 78) to the form y*v + o and give y. 196 Express 6*c**3 + 6*c**2 + 0*c**2 + 1 + 2*c**2 - c**2 - 18*c**3 in the form t + a*c**2 + h*c**3 + d*c and give t. 1 Rearrange (0 + 0 - i)*(-5*i + 4*i + 2*i) + (0 + 0 + 1)*(55*i**2 - 43*i**2 - 137*i**2) to c*i**2 + b + u*i and give c. -126 Rearrange 44*l**3 - 25*l**3 - 17*l**3 - 176*l**2 to the form w*l**2 + m*l + r + n*l**3 and give n. 2 Express (-4 + 4 - 4 + 5)*(-k**2 + 0*k**2 + 0*k**2)*(-108*k - 5*k - 35*k) as y*k + f*k**2 + g + s*k**3 and give s. 148 Express 2631*c + 5*c**2 - 2617*c + 7*c**2 in the form i*c**2 + s*c + b and give i. 12 Express -2902*c**2 - 12*c**4 + c + 2906*c**2 - c + 3 as q*c**3 + j*c + f + a*c**4 + d*c**2 and give j. 0 Express 2*i**2 + 2*i**2 - 3*i**2 + (-1 - 2*i + 1)*(-4*i + 2*i + i) - i**2 + 5*i**2 - 2*i**2 + 65*i**2 - 75*i**2 + 404*i**2 as m*i + t*i**2 + b and give t. 399 Rearrange -7*f**4 - 4 + 8 - 2 - 4*f**4 - f**2 + 21*f + 9*f**4 to the form c*f**4 + u*f**2 + j*f + o + r*f**3 and give c. -2 Express (-1 - 3 - 4)*(-3*k + 4*k + 2*k) - 140 + 140 - 180*k in the form h + f*k and give f. -204 Rearrange -2*b**2 + 0*b**2 + 0*b**2 + (3*b - 3*b - 2*b**2)*(-1 + 0 + 3) + 2*b**2 - b**2 + 8*b**2 - b + b**2 + 2 - 3 - 2 to the form f*b + j + d*b**2 and give f. -1 Express -358 + 761 + w + 162 in the form s + c*w and give c. 1 Rearrange 3*i**2 - 6*i**2 + i**2 + (-5 - i + 5)*(11*i - i - 7*i) to u + d*i**2 + p*i and give d. -5 Express -7*n**2 + 0*n**2 + 13*n + n**2 + 11*n + 8*n**2 in the form c*n + h*n**2 + l and give h. 2 Rearrange -2*z - 67 + 1 - 21 + 0*z to the form n + g*z and give g. -2 Rearrange 3*x**2 - 3*x**3 - x + 5*x**3 + 4*x**4 + 1 + 4*x**3 to u + y*x**3 + t*x**2 + n*x + b*x**4 and give n. -1 Express -574*v**2 - 777*v**2 + 1681*v**2 as w*v + j*v**2 + q and give j. 330 Rearrange 1 + 4*b**3 + 0 + 11*b**3 + 4 to j*b**2 + q*b + d*b**3 + x and give d. 15 Express -j - 5 + 5 + (-25 - 17 + 55)*(-27 + 27 + 20*j) as r*j + b and give b. 0 Express (13 - 13 + 4*o**3)*(-87 - 97 + 194 - 23*o) as p*o + v*o**3 + g*o**4 + b + s*o**2 and give v. 40 Express -j**3 + 6*j**4 - 5*j + 4*j - 6*j**2 + 3 + 9*j**2 + 0*j in the form z*j + u*j**2 + h + n*j**4 + d*j**3 and give u. 3 Rearrange 0*y**2 + 316*y**3 - 1 - 2*y**4 - 4*y**2 - 245*y**3 + 2*y**2 + 0 to h*y**4 + a*y**3 + l + z*y**2 + r*y and give z. -2 Rearrange y + 2*y - 4*y + (-1 - y + 1)*(-1 + 3 - 1) - 8*y + y + 2*y + (-76 + 11*y + 76)*(-1 + 2 + 2) to g*y + s and give g. 26 Express -32*s**2 + 32*s**2 + 59*s**2 + 37*s**2 in the form t*s + m + u*s**2 and give u. 96 Express -3231*c**2 + 3226*c**2 + 137 + 7*c - 7*c - 2*c**3 as n*c + a*c**3 + j + x*c**2 and give a. -2 Express (-2*i - 3 + 3)*(413*i**3 + 103*i - 412*i**3 - 13*i) as g*i**2 + p*i**3 + b*i + t*i**4 + z and give g. -180 Express (1289*s - 893*s - 876*s)*(s + 2*s - s) in the form n*s + l*s**2 + y and give l. -960 Express (-1 - 4 + 2)*(536 - 804*w - 536) as c + u*w and give u. 2412 Rearrange 7*x + 3*x + 22*x**3 - 2*x**4 - 7*x + 0*x + 2*x**2 to the form i*x + d*x**4 + s*x**3 + o*x**2 + j and give o. 2 Express 440*b**3 + 3*b**2 + 445*b**3 + 178*b - 887*b**3 - 15*b in the form s*b**2 + f*b**3 + a*b + k and give a. 163 Rearrange -36*z - 35*z + 47*z to the form i + b*z and give b. -24 Express -7*g**2 + 12 + 0 - 16 + 7 in the form c*g**2 + r + i*g and give r. 3 Express (-1 + 2*u + 1 + (2 + 1 - 4)*(4 - 4 - 2*u) + 2*u + 0 + 0)*(5 + 4 + 1) + (4 - 4 + 1)*(6*u - 2*u - 2*u) - u + 5*u - u in the form z + a*u and give a. 65 Express 51522*b**3 - 2*b - 51521*b**3 + b + b**4 in the form d*b**4 + n + u*b + l*b**2 + s*b**3 and give l. 0 Express (70 + 27*b - 70)*(-6 - 22 + 3) as z + r*b and give z. 0 Express -15*t - 6*t + 87 - 7*t + 35*t in the form p*t + c and give c. 87 Express (8 - 8 - 6*o)*(-3 - 1 + 2)*(-3 + 3 + 1) in the form q + n*o and give n. 12 Rearrange (t + t - 4*t)*(51*t + 58*t - 112*t + 160) to the form s*t**2 + v + l*t and give v. 0 Rearrange -8*a**3 + 14*a**2 - 62 + 2*a**3 + 62 + 9*a**3 - a to the form t + g*a**2 + m*a + i*a**3 and give m. -1 Rearrange 29*g**3 + 15*g**2 + 38*g**3 - 3 - 2*g**4 - 66*g**3 to the form v + j*g + d*g**4 + x*g**2 + z*g**3 and give v. -3 Express 22 + 18 + 17*x**2 - 15*x**2 + 3 as k*x + v + w*x**2 and give w. 2 Rearrange 53*o**3 - 4*o**2 - o - 2 + o - 15*o**4 - 52*o**3 to u*o**4 + h + y*o**3 + v*o**2 + b*o and give y. 1 Express (2*a**2 + 3*a**3 - 2*a**2)*(-2 + 1 - 1)*(-1727*a + 864*a - 7 + 866*a) as l*a**4 + n + s*a**3 + r*a + j*a**2 and give l. -18 Rearrange (1 - 1 + 2*c)*(-24 - 8 - 6) + (-2*c - 3*c + 7*c)*(6 - 3 - 2) - 3*c - 4*c + 6*c to the form v + y*c and give y. -75 Express (2*h**3 + 0*h**3 + 4*h**2 - 2*h**2)*(-184*h + 25308 - 25308) as r*h**2 + n + m*h**4 + s*h**3 + c*h and give c. 0 Express 3 - 2*y**2 + 63*y**4 - 27*y**4 - 5 - 105*y - 35*y**4 as c*y**2 + p + l*y + r*y**4 + k*y**3 and give c. -2 Rearrange -21 + 8 - 263*d + 10 to the form y + s*d and give s. -263 Rearrange 15*m - 734 + 734 to the form o*m + z and give z. 0 Rearrange -2*t**4 - 3*t - 11*t**4 + 5*t - t**2 + 12*t**4 + 2*t**3 + 26 to x + b*t**4 + v*t + a*t**3 + g*t**2 and give v. 2 Rearrange (23*n + 32*n - 13*n + 2*n - 4*n + 0*n + (5 - 2 - 1)*(-2*n + n - n) + 0*n - 2*n + 0*n)*(-2 + 2 - 1) to the form d + g*n and give g. -34 Rearrange 32436*s - 32436*s - 131*s**2 to the form i + w*s + t*s**2 and give t. -131 Rearrange (-4*f - 4*f + f)*(-f**2 + 1643 - 1643 + 40*f) to c + j*f**2 + i*f**3 + g*f and give j. -280 Rearrange (4*g - 4*g + 4*g)*(31 + 16 + 1)*(g - 3*g + 0*g) to q + y*g + x*g**2 and give x. -384 Express (i + 0*i - 3*i)*(-2*i + 2*i + 3*i) + 0 + 0 + i**2 + (2 - 2 + 2*i)*(0*i + 11*i - 14*i) in the form t*i**2 + k*i + f and give t. -11 Express 2*p - 2*p - 815 - p + 2*p + p as q*p + x and give x. -815 Rearrange -r**4 - 475*r + 67*r**2 - 473*r + 0*r**4 + 949*r to c*r**2 + b*r**3 + v*r**4 + o + f*r and give o. 0 Express (-2 - 1 + 2 - 2 - 4 + 2 - 2 - 1 + 4 - 2 + 0 + 4 + 3 - 2 - 3 + (-4 + 1 + 1)*(-1 + 2 + 1) - 1 + 2 + 0)*(-48*j + 27*j + 29*j) as q + z*j and give z. -56 Rearrange -62*k**2 - 6*k**2 - 2 - 55*k**2 to i + r*k**2 + x*k and give x. 0 Rearrange 8*v - 8*v + v**2 + 3*v + 18*v**3 - v to y*v**2 + n + s*v**3 + o*v and give s. 18 Express (c + 1 - 1)*(275*c + 1 + 164*c - 1) in the form v*c + g + s*c**2 and give s. 439 Rearrange (-3 - 1 - 2)*(3*l**2 + 0*l**2 - l**2) - 14*l + 14*l - 31*l**2 to z*l + v*l**2 + q and give v. -43 Rearrange (-y**3 + 0*y + 0*y)*(4*y - 3*y + 3*y) - 44*y**4 + 38589*y**3 - 38589*y**3 + 202*y**4 to the form k + h*y**4 + n*y**2 + p*y + z*y**3 and give h. 154 Express 340*f**3 - 7 - 2*f**2 - 332*f**3 + 2*f**2 as g*f + n + k*f**3 + a*f**2 and give n. -7 Rearrange (69 + 119 + 160*y - 161*y)*(0*y**3 + 2*y**3 - 3*y**3) to the form q*y**2 + g*y**3 + o*y + a*y**4 + j and give a. 1 Rearrange -6*o**3 - 5 + o**2 - 2*o + 5 + 6*o to the form k*o + u + d*o**2 + g*o**3 and give d. 1 Rearrange -j**3 + 3*j**2 - 2 + j**2 - 3*j**2 - 3*j**2 - j**3 to t*j**2 + f*j**3 + y*j + v and give t. -2 Rearrange -3715 + 2363 + 12*t - 14*t to th
{ "pile_set_name": "DM Mathematics" }
is the remainder when 80 is divided by r? 8 Suppose 5*l - 177 = -g, 4*l + 3*g + 0*g - 146 = 0. Suppose 3*q = -44 - 25. Let j = l + q. What is the remainder when 45 is divided by j? 9 Let t(r) = -r + 82. Let m be (-1)/(-2)*-2*0. Calculate the remainder when t(m) is divided by 22. 16 Let f = 1373 - 1361. What is the remainder when 49 is divided by f? 1 Suppose -24*z - 205 = -5293. Calculate the remainder when z is divided by -2*2*(-43)/4. 40 Suppose 0 = -9*m + 71 - 17. Suppose 0*o + 522 = m*o. What is the remainder when o is divided by 22? 21 Let n(z) = 4*z**3 + z**2 + 3*z - 3. Calculate the remainder when -102*-1*18/12 is divided by n(2). 36 Let y be 18/(-6) - (-26)/4*-2. Let d(k) = k**2 + 16*k + 4. What is the remainder when 4 is divided by d(y)? 0 Let u(h) = 3*h**2 - 12*h + 13. Let j(q) = q**2 + 1. Let m(p) = 2*j(p) - u(p). What is the remainder when 29 is divided by m(9)? 13 Let m = 14 + 58. Suppose 0 = -4*h + m. What is the remainder when 69 is divided by h? 15 Suppose -u = 2*v - 162, 2*u - 799 = -3*u + v. What is the remainder when u is divided by 15? 10 Suppose 4 = -o, -z + 4*z + 5*o = 409. What is the remainder when z is divided by 18? 17 Suppose 72*u = 77*u - 65. What is the remainder when u is divided by 4? 1 Let b(k) = k + 40*k**2 - 1 + 27*k**2 + 1. Let g(l) = l**3 + 8*l**2 + 8*l - 1. What is the remainder when b(1) is divided by g(-6)? 22 Let x(c) = -c + 14. Let j be x(15). Calculate the remainder when 4 is divided by j/((40/15)/(-8)). 1 Suppose -s = -4*z - 31 + 5, 2*s - 5*z = 37. Let n(p) = 2*p**2 - 5*p - 10. What is the remainder when 60 is divided by n(s)? 28 Suppose 4*w - 73 = 5*t, -t = 3*w - 10 - 40. What is the remainder when 2/6 + (-167)/(-3) is divided by w? 5 Let i(k) = -k**2 - 21*k + 74. Calculate the remainder when i(-10) is divided by 62. 60 Suppose 14 = -6*i + 7*i. Calculate the remainder when i is divided by (-1 + -5)/((-93)/124). 6 Let d(w) = -w**3 + 3*w**2 - 12. Let c(k) = 4*k**3 - 9*k**2 + 37. Let t(i) = 2*c(i) + 7*d(i). What is the remainder when t(3) is divided by 15? 14 Suppose -2*g = -5*x + 200, 0 = 2*x - 3*g + 7*g - 80. Calculate the remainder when 117 is divided by x. 37 Suppose 0 = 4*u - 0*u. Suppose 3 = o - u. Suppose 5*l + 7 = -3, o*m - 125 = -2*l. What is the remainder when m is divided by 11? 10 Suppose 276 + 252 = 44*l + 4*l. Calculate the remainder when (162/5)/(1/5) is divided by l. 8 Let f(h) be the second derivative of h**4/12 - h**3/3 - 2*h**2 + h. Calculate the remainder when 79 is divided by f(6). 19 Let m be -10 - -48 - (1 - 2). Suppose -14*y - 3 = -15*y. Let x = y + m. Calculate the remainder when 165 is divided by x. 39 Let a = 15 + -5. What is the remainder when 627 is divided by a? 7 Let y(h) = -h**3 - 5*h**2 + 8. What is the remainder when 24 - (1 - (2 - 3)) is divided by y(-5)? 6 Let n(p) = 7*p**2 - 11*p + 12. Let b(s) = 15*s**2 - 22*s + 24. Let u(h) = 6*b(h) - 13*n(h). What is the remainder when 71 is divided by u(6)? 17 Let u(n) = 9*n**2 + 5*n - 4. Calculate the remainder when 28 is divided by u(1). 8 Let p = -162 + 212. What is the remainder when 144 is divided by p? 44 Let k = 23 - 7. Suppose -w + k = w. Let f(a) = -a**2 + 9*a + 2. What is the remainder when 28 is divided by f(w)? 8 Suppose -12 = 4*t, 2*t + 74 = 5*b - b. What is the remainder when b is divided by 14? 3 Suppose 2*k - 4*k + 2*m + 56 = 0, -5*k - 4*m + 95 = 0. Calculate the remainder when 39 is divided by k. 16 Let t be 1 + (3 - 3) + 0. Suppose t = 3*h - 14. Let x = h + 15. What is the remainder when 78 is divided by x? 18 Suppose -3*q + 49 = -2*d, -q - 5 = -3*d - 19. What is the remainder when 78 is divided by q? 10 Let f = 25 + -5. Suppose -12 = -3*y - 0*y. Let z(w) = 3*w**2 - 9. What is the remainder when z(y) is divided by f? 19 Let n(r) = r + 12*r**2 - 2*r**2 + 3 + 15*r**2. What is the remainder when n(-2) is divided by 21? 17 Suppose 4*h + x + 149 - 734 = 0, 0 = -3*h - 2*x + 445. Suppose 4*a - h = -a. Let s = -35 + 50. What is the remainder when a is divided by s? 14 Suppose -228 = -4*v + 460. Calculate the remainder when v is divided by 36. 28 Let g be 3/(-7) - (-12)/28. Suppose 0 = 5*k + 5, g = 4*c + 2*k - 242 + 16. What is the remainder when c is divided by 16? 9 Suppose -2*o = 11*o - 195. Let i = 53 - 11. What is the remainder when i is divided by o? 12 Suppose 5*u = u, u - 107 = -z. Let y = -51 - -88. Calculate the remainder when z is divided by y. 33 Let i = -348 - -428. Calculate the remainder when i is divided by -14*4/(24/(-9)). 17 Let d(i) = 3*i - 12 + 24*i - i + i. Let v be d(7). Suppose -4*f + v = -f. Calculate the remainder when f is divided by 20. 19 Calculate the remainder when 209 is divided by (77/(-21))/(-2*3/90). 44 Calculate the remainder when 160 is divided by (46/(-10))/((-41)/205). 22 Let w = 38 + -32. Suppose 0 = s - w. Let d(f) = f**2 - 5*f + 6. Calculate the remainder when 46 is divided by d(s). 10 Suppose q + 2*l = 28, q + 2*l - 32 = -2*l. Suppose 0 = d + 3*c - 84, -5*d + 13*c = 11*c - 471. Calculate the remainder when d is divided by q. 21 Suppose c = 2*c + 6. Let q be ((-2)/c)/(2/(-30)). What is the remainder when (0 - q)*28/10 is divided by 5? 4 Let f(j) be the third derivative of 0*j + 0 + 17/24*j**4 + 7*j**2 - 1/3*j**3. What is the remainder when 59 is divided by f(1)? 14 Let l be (30/(-8))/((-9)/60). Let f = l + -18. Let n(b) = b**3 + 4*b**2 - 3*b - 1. What is the remainder when n(-4) is divided by f? 4 Let l(s) = -2*s**2 - 41*s + 34. What is the remainder when 538 is divided by l(-20)? 52 Suppose -6*r - 86 = -8*r. Calculate the remainder when r is divided by 11. 10 Suppose 2*o - 3*o + 55 = 0. What is the remainder when o is divided by (-10)/(-4)*(2/10 + (-81)/(-15))? 13 Let c(d) = -7*d**2 + 105*d - 3. What is the remainder when c(9) is divided by 29? 27 Let c be (10/20)/((-1)/24). Let n(j) = j**3 - 4*j**2 - 4*j - 1. What is the remainder when n(6) is divided by (-4)/c*39 + -1? 11 Suppose 39*m = 23*m + 22784. Calculate the remainder when m is divided by 46. 44 Suppose x - b = 37, 3*x + 2*b - 81 = -b. Let l(c) = c**3 + 4*c**2 + c - 3. Let h(j) = 6*j + 45. Let o be h(-7). What is the remainder when l(o) is divided by x? 31 Let j(x) = -x**2 - 37*x + 294. What is the remainder when j(-37) is divided by 74? 72 Let t(d) = 3*d**2 - 4*d - 3. Let p be t(-3). Suppose -5*a + 102 = -3*g + p, 2*g + 4 = 0. What is the remainder when 19 is divided by a? 7 Let s(j) = -j**2 - 16*j - 19. Let x = 80 + -86. What is the remainder when 81 is divided by s(x)? 40 Let i = 893 - 791. Calculate the remainder when i is divided by 53. 49 Let j(s) = -s**3 - 10*s**2 - 19*s + 19. Calculate the remainder when 29 is divided by j(-7). 4 Suppose 7*i - 2*i = 0. Suppose -4*u = -i*n - 2*n - 22, 0 = -4*u - 3*n + 17. Calculate the remainder when ((-46)/(-8))/(u/40) is divided by 16. 14 Let d(c) = 2*c**3 + 13*c**2 - 6*c + 9. Let t be d(-7). Suppose -7 - 23 = -t*i. Calculate the remainder when i is divided by 4. 3 Let x = 16 + -9. Suppose -x - 9 = -4*v. Suppose -v*f + 98 = 2*r, -r + f = 2*f - 48. What is the remainder when r is divided by 16? 15 What is the remainder when 117 is divided by (21/4)/(12*(-7)/(-560))? 12 Let g(a) = a**2 - 3*a + 3. Suppose 4*p = -5 + 13. Suppose 5*n + 20 = 4*o, -p*o + 10 = -0*o - 2*n. What is the remainder when g(o) is divided by 5? 3 Suppose 31*h - 1122 = -20*h. What is the remainder when 71 is divided by h? 5 Calculate the remainder when 1033 is divided by 79 - 3/(12/20). 71 Let l(a) = -a**2 + 10*a - 16. Let b be l(5). Let x be 4/(-6) - 210/b. Let r = x + 26. What is the remainder when 5 is divided by r? 1 Calculate the remainder when 15 is divided by (128/96)/(1/6). 7 Suppose 20*z - 23*z - 15 = 0. Let i = z + 29. Suppose i = k + 4. Calculate the remainder when k is divided by 12. 8 Let m(x) = -x**2 + 24*x - 3. What is the remainder when m(20) is divided by 8? 5 Let u(z) = z**2 + 2*z - 5. Let x be u(-7). Suppose -x*h = -28*h - 18. What is the remainder when 21 is divided by h? 3 Calculate the remainder when 46 is divided by 40/18 + (-168)/756. 0 What is the remainder when 18 is divided by (-280)/14*(-4)/10? 2 Let k be 2/6 - (-106)/6. Suppose -4*m + k = 10. Calculate the remainder when (-822)/(-30) - m/5 is divided by 10. 7 Suppose -3*c + 290 = 2*c. Let y(t) = t**3 + 12*t**2 + 14*t + 15. Let w
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from {o: 4, e: 1, z: 8}. 1/143 Calculate prob of sequence bbm when three letters picked without replacement from lhnlbbunummn. 1/330 Calculate prob of sequence psms when four letters picked without replacement from {m: 1, p: 2, s: 1}. 0 Three letters picked without replacement from bam. Give prob of sequence amb. 1/6 Calculate prob of sequence ykk when three letters picked without replacement from {y: 2, f: 1, k: 2}. 1/15 What is prob of sequence kdk when three letters picked without replacement from kwvwkkd? 1/35 What is prob of sequence ie when two letters picked without replacement from {e: 4, i: 8, u: 2}? 16/91 Two letters picked without replacement from jjjxjxjljjjjjj. Give prob of sequence jx. 11/91 Four letters picked without replacement from bqbqjqfqffcqjf. What is prob of sequence jbqj? 5/6006 Two letters picked without replacement from zzuzuzzzzuzzzzzzzxzz. What is prob of sequence zx? 4/95 Two letters picked without replacement from ynbcyc. What is prob of sequence bn? 1/30 Four letters picked without replacement from uggyu. What is prob of sequence uggy? 1/30 What is prob of sequence ftu when three letters picked without replacement from {f: 1, t: 4, d: 2, u: 2}? 1/63 Three letters picked without replacement from {x: 2, d: 1, m: 1, f: 7, y: 3}. Give prob of sequence mfd. 1/312 What is prob of sequence gg when two letters picked without replacement from {a: 6, g: 4}? 2/15 Four letters picked without replacement from {x: 2, h: 9, v: 4, k: 1, a: 4}. What is prob of sequence hxva? 4/1615 Calculate prob of sequence rr when two letters picked without replacement from jirjxrrr. 3/14 Four letters picked without replacement from {o: 1, f: 18}. What is prob of sequence ffoo? 0 What is prob of sequence nnt when three letters picked without replacement from {t: 2, n: 6}? 5/28 Calculate prob of sequence hiih when four letters picked without replacement from iiiiiiiihhihiiii. 3/140 What is prob of sequence vddd when four letters picked without replacement from {v: 1, d: 12}? 1/13 What is prob of sequence vv when two letters picked without replacement from {c: 1, n: 3, f: 2, v: 4, w: 2}? 1/11 What is prob of sequence wu when two letters picked without replacement from xwjjqdwu? 1/28 Four letters picked without replacement from zjojijiiowiijje. What is prob of sequence woeo? 1/16380 What is prob of sequence wc when two letters picked without replacement from ywywwycw? 1/14 Four letters picked without replacement from {x: 4, u: 3, l: 2, o: 1, d: 1, j: 1}. What is prob of sequence jlud? 1/1980 Two letters picked without replacement from {d: 2, u: 8, a: 3, y: 5, z: 1}. Give prob of sequence ua. 4/57 Three letters picked without replacement from pfpfppfppf. Give prob of sequence fpp. 1/6 Three letters picked without replacement from {b: 7, y: 2}. Give prob of sequence ybb. 1/6 Two letters picked without replacement from wwwelwwlwllelwwwll. Give prob of sequence el. 7/153 Three letters picked without replacement from {k: 6, q: 10, i: 2}. Give prob of sequence kkk. 5/204 Four letters picked without replacement from bbqbqllllbqbqqb. Give prob of sequence bbbq. 5/273 Four letters picked without replacement from {d: 9, k: 1, c: 2, b: 5, h: 1}. What is prob of sequence chdd? 1/510 Two letters picked without replacement from {r: 6, e: 2}. What is prob of sequence re? 3/14 Three letters picked without replacement from too. Give prob of sequence ttt. 0 Three letters picked without replacement from ttttssts. What is prob of sequence tss? 5/56 What is prob of sequence uupu when four letters picked without replacement from {u: 5, p: 7}? 7/198 Four letters picked without replacement from {n: 1, q: 12, s: 6}. What is prob of sequence sqsn? 5/1292 What is prob of sequence ym when two letters picked without replacement from {u: 2, m: 3, y: 1, c: 1}? 1/14 Calculate prob of sequence tt when two letters picked without replacement from tltttttttttltlt. 22/35 Calculate prob of sequence uue when three letters picked without replacement from duuydueuueeudu. 3/52 Four letters picked without replacement from faaffvfffvfaaafy. What is prob of sequence vaff? 1/78 Three letters picked without replacement from yyffffd. What is prob of sequence yfy? 4/105 Calculate prob of sequence uph when three letters picked without replacement from uhdppbl. 1/105 Four letters picked without replacement from nnnggngngnnnnnnnngg. Give prob of sequence nngn. 143/1292 Four letters picked without replacement from {z: 3, i: 2, t: 3}. Give prob of sequence iziz. 1/140 Three letters picked without replacement from bbtkgbt. Give prob of sequence tgt. 1/105 Four letters picked without replacement from {z: 1, b: 1, m: 3, j: 1, q: 10, u: 2}. What is prob of sequence umbu? 1/12240 Two letters picked without replacement from kfkkpwkppwpwp. What is prob of sequence fk? 1/39 What is prob of sequence bj when two letters picked without replacement from {b: 12, n: 5, j: 2}? 4/57 Four letters picked without replacement from {t: 1, l: 1, o: 4, w: 5}. What is prob of sequence wolo? 1/132 Calculate prob of sequence jvn when three letters picked without replacement from vjnjcvjcvjjqjvjq. 1/120 Three letters picked without replacement from {n: 5, w: 9}. Give prob of sequence wnn. 15/182 Calculate prob of sequence btle when four letters picked without replacement from {l: 1, t: 5, b: 1, e: 2}. 5/1512 What is prob of sequence aaay when four letters picked without replacement from aayyayyayyyyyaayayy? 35/1292 What is prob of sequence mnk when three letters picked without replacement from ylnkmkyb? 1/168 Calculate prob of sequence qvq when three letters picked without replacement from {v: 2, q: 2}. 1/6 What is prob of sequence jjgj when four letters picked without replacement from jggjjjggjggjjg? 35/572 Four letters picked without replacement from {o: 4, q: 2, r: 1, j: 7}. Give prob of sequence jjjo. 5/143 What is prob of sequence gmgm when four letters picked without replacement from emccgogomogogosmcom? 1/646 Calculate prob of sequence nsnn when four letters picked without replacement from {n: 3, s: 1}. 1/4 Calculate prob of sequence cv when two letters picked without replacement from {e: 2, p: 1, d: 2, v: 2, c: 4, i: 4}. 4/105 Two letters picked without replacement from {o: 1, m: 1, d: 1, g: 1, b: 1}. What is prob of sequence mg? 1/20 Two letters picked without replacement from {p: 1, o: 1, x: 2, h: 2, k: 1}. Give prob of sequence pk. 1/42 Four letters picked without replacement from {m: 4, b: 16}. Give prob of sequence bmmm. 16/4845 Three letters picked without replacement from jdwdwldljdjydldddw. Give prob of sequence wly. 1/544 What is prob of sequence kk when two letters picked without replacement from {k: 5, u: 3, o: 4}? 5/33 Three letters picked without replacement from iiiivjijpjpp. What is prob of sequence iji? 1/22 Calculate prob of sequence xx when two letters picked without replacement from {x: 2, c: 2}. 1/6 Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkkkkkpkpkkk. 136/171 Four letters picked without replacement from neehehen. Give prob of sequence ehen. 1/35 What is prob of sequence qc when two letters picked without replacement from cqzqqzqzcvcqqq? 3/26 What is prob of sequence zgh when three letters picked without replacement from kqksqskkkhzksksgh? 1/2040 Calculate prob of sequence oofo when four letters picked without replacement from ofooooof. 1/7 Calculate prob of sequence huh when three letters picked without replacement from huuuuh. 1/15 Three letters picked without replacement from ssscsscsssss. Give prob of sequence scc. 1/66 Three letters picked without replacement from bkkkbwkwk. What is prob of sequence kbw? 5/126 Three letters picked without replacement from kankdnnmnknnknmnnn. What is prob of sequence dkn? 5/612 Calculate prob of sequence czc when three letters picked without replacement from czzvcvvvzvwwv. 1/286 What is prob of sequence fhf when three letters picked without replacement from fftzteh? 1/105 Two letters picked without replacement from {w: 1, p: 1, s: 6, i: 2, d: 3}. What is prob of sequence pd? 1/52 Two letters picked without replacement from iqikkqiqqkqqkkkqq. Give prob of sequence ii. 3/1
{ "pile_set_name": "DM Mathematics" }
ify ((((d*d/(d/(d**(3/7)/d*d))*d)/d)/d**(-6))**32)**(-1/28) assuming d is positive. d**(-416/49) Simplify ((i*(i/i**(-30))/i)**(-3/5))**(-3/28) assuming i is positive. i**(279/140) Simplify s**29*s*s*s*s**(-22)*s*s*(s**(-4/5)*s)/(s/(((s/(s*s**30*s))/s)/s)) assuming s is positive. s**(-109/5) Simplify (s**(2/13)*s/(s*s**(-1))*s**(-3/7)*((s*s**(2/3))/s*s)/s)**(-20/9) assuming s is positive. s**(-7600/2457) Simplify (q/((q*q**(5/6))/q)*q*q/(q/(q*q**1)))/(q/(((q/q**4*q)/q)/q)*q**(-15)*q*q) assuming q is positive. q**(67/6) Simplify ((a**(11/3))**13)**(-13) assuming a is positive. a**(-1859/3) Simplify (n**(-16)*n**11)/(n**(-9/4)/n)**19 assuming n is positive. n**(227/4) Simplify (w/w**(1/3))**(5/8)/(w**(-9/7)*(w/(w/(w*w**(1/5))))/w) assuming w is positive. w**(631/420) Simplify (h**(11/3)*(h*h**(1/12))/h*h)/(h**10*h**(2/33)/h) assuming h is positive. h**(-569/132) Simplify (((x/(x/x**(-2/3)))/(x/x**(-2/7)))/(x*x*x*x**(2/3))**(-49))**(31/3) assuming x is positive. x**(38564/21) Simplify ((d**(-18))**(-2/9))**(-4/17) assuming d is positive. d**(-16/17) Simplify (u*u**(-1/4))**27*(u/(u**(-7)/u))/(u/u**11) assuming u is positive. u**(157/4) Simplify s**16/s**(-14)*s/s**(5/8)*s**(8/5)/s assuming s is positive. s**(1239/40) Simplify r*r**(2/51)*r**(-15)*r**(1/4)*r*r**(4/3) assuming r is positive. r**(-2321/204) Simplify ((g*g**4)/g*g*g**4*g*(g/g**(-1)*g)/g*g**(-3))**14 assuming g is positive. g**126 Simplify (b/b**0*b)**35/((b/(b**(-2)/b))/((b/b**8*b)/b)) assuming b is positive. b**59 Simplify ((z**10*z/(((z/z**(-23))/z)/z))**(-1/7))**(-30) assuming z is positive. z**(-330/7) Simplify (a/a**(-7))**7*((a/(a**(-9)/a))/a)/(a*a**16*a) assuming a is positive. a**48 Simplify ((k/((k/(k*k*k/k**(-21/5)))/k)*k)/k**(-5/9))**10 assuming k is positive. k**(878/9) Simplify m**(2/55)/(m*m**(-15)/m*m)*(m**(-2/31)/m)**(-5/12) assuming m is positive. m**(98753/6820) Simplify (p*p**(4/13)*p)**(-33)/(p**(-1/8))**42 assuming p is positive. p**(-3687/52) Simplify (d*d**(-5/7))**(2/23)*(d**(4/3))**49 assuming d is positive. d**(31568/483) Simplify (x**1/x**(-10))/(x**(-1))**(-21) assuming x is positive. x**(-10) Simplify (d**(-4)*d)**(-5/14)/(d**(-3)*d)**(-12) assuming d is positive. d**(-321/14) Simplify ((t**19/t)/t*t)**49/(t**(-34)*(t**2*t)/t) assuming t is positive. t**914 Simplify v**20*v*v**(1/7)*(v*v*v**15)/(v*v**(-18)) assuming v is positive. v**(386/7) Simplify (u**(-5/7))**(-20/9)*u**(4/3)*u*u/(u**16*u)*u assuming u is positive. u**(-698/63) Simplify (((q**(-21)/q)/q)/(q/q**26))**5 assuming q is positive. q**10 Simplify (((x**(-6)*x*x)/((x**(3/5)*x*x*x*x)/x))**(-39))**(4/15) assuming x is positive. x**(1976/25) Simplify (k**(-1))**(-1/37)*(k**(3/8))**(-13) assuming k is positive. k**(-1435/296) Simplify ((z**(-1/6))**(3/10)*z**(2/17)*z/(z**(-2/5)/z)*z)**27 assuming z is positive. z**(31833/340) Simplify (v/(v**(-1/3)/v*v))**(-2/27)/(v**(-2/49)*v/v**(-1/14)) assuming v is positive. v**(-8965/7938) Simplify (d**(-1))**(-12/19)/(d**0)**(-2/9) assuming d is positive. d**(12/19) Simplify ((n**(1/35))**(-1/17))**(-11) assuming n is positive. n**(11/595) Simplify (m/((m/((m**(-1/6)/m)/m))/m*m*m)*m/(m*m*m**(-3/7)))/(m**(1/10)/m**(-1/8)) assuming m is positive. m**(-3329/840) Simplify z**5*(z/(z*z/z**(-2)*z))/z*z/(z*z**2)*z/z**19 assuming z is positive. z**(-20) Simplify ((g**(-13)*g*g/(g*g**(-1/24))*g)**(-2/33))**(1/40) assuming g is positive. g**(263/15840) Simplify (w**(3/17))**14*(w/w**16)**(1/7) assuming w is positive. w**(39/119) Simplify (i/(i*i**(-3/11)))/i*i**(2/49)*i*i*((i/i**(-4/5))/i)/(i*i/((i*i**(-2/19)*i)/i)) assuming i is positive. i**(51629/51205) Simplify ((q*q/(q**(-1/18)*q*q*q))**20)**3 assuming q is positive. q**(-170/3) Simplify ((s*s*s**(-2)*s*s)/s)**(-1/15)*(s**(-1/2))**(-17/5) assuming s is positive. s**(49/30) Simplify ((d**(-2/25)*d)/d**(-19))**(-47) assuming d is positive. d**(-23406/25) Simplify (s**3)**33*s**8*s/s**(2/23) assuming s is positive. s**(2482/23) Simplify ((w**(-2))**(-28)*(w**(2/11)*w)**8)**(11/5) assuming w is positive. w**144 Simplify ((m**(2/5)*m*m**8)**24)**(8/13) assuming m is positive. m**(9024/65) Simplify (v**2*v**(1/20))/((v**14*v)/v)**(-49) assuming v is positive. v**(13761/20) Simplify ((a*a*a*a**1)**(-1/87))**(-50) assuming a is positive. a**(200/87) Simplify (v/(v*v/(v*v/v**(-2/3)*v)*v)*(v*v**(-17))/v)**(-25) assuming v is positive. v**(1150/3) Simplify (g/(g*g**1))**3/((g*g**12)/g**25) assuming g is positive. g**9 Simplify ((b**(-1)/b)**(12/7)*(b**(2/5))**(7/6))**(-6/7) assuming b is positive. b**(622/245) Simplify ((a**(-7)/(a/(a/a**(1/6))))/((a*((a/((a/a**0)/a))/a)/a)/(a*a/a**(-5))))**(-1/32) assuming a is positive. a**(1/192) Simplify ((d/d**(-1)*d**(-3))/(d**3*d**6))**(-6/23) assuming d is positive. d**(60/23) Simplify (t**(-6)/t*t)/(t*(t/(t*(t/((t**(4/7)/t*t)/t*t))/t*t))/t)*(t/t**(-1))**(-32) assuming t is positive. t**(-487/7) Simplify (h**9*h/h**(-4/11))/((h*h**(1/2))/h**(-1/3)) assuming h is positive. h**(563/66) Simplify (m*m/((m**(-16)*m)/m))/(m*m**(-12))*(m/(m/(m**(-4/7)/m)))/m**(-1/2) assuming m is positive. m**(391/14) Simplify ((j/j**(2/13)*j**(2/3)*j)/((j*j**(-2/7))/(j**(1/2)*j)))**(-14/11) assuming j is positive. j**(-1801/429) Simplify (i**(-3/8))**(17/2)*i*i**(-1/40)/i*i**(-20) assuming i is positive. i**(-1857/80) Simplify (h**(-2))**(-30)/((h/(h*h**(-1/6)*h))/h**(-5)) assuming h is positive. h**(335/6) Simplify (((l/l**(1/9)*l*l)/l)/(l**(2/5)*l))/((l**(-20)/l)/l**(10/13)) assuming l is positive. l**(13021/585) Simplify (q*q*(q**(1/5)/q)/q)**(2/3)*q**(-15)/(q/(q*q**(6/11)*q)) assuming q is positive. q**(-2198/165) Simplify ((u**(2/7))**(-2/17))**(-20) assuming u is positive. u**(80/119) Simplify (h*h**3*h)/(h*h**(-10)*h)*((h/(((h/(h/(h*h**0)*h))/h)/h)*h)/h)**5 assuming h is positive. h**28 Simplify (((d*d**(-20))/d**(3/7))**(19/4))**0 assuming d is positive. 1 Simplify (a*a*a/(a*a**(-3/2))*a/(a/(a*a*((a/(a/a**(-2/19)))/a*a)/a))*a)/(a/(a*a**(-1/6)))**14 assuming a is positive. a**(349/114) Simplify (x**(8/7)*(((x*x**(16/7)*x)/x*x*x)/x)/x)/(x**(-2/3)/x**0) assuming x is positive. x**(107/21) Simplify (v**(-28/9)/v**(1/13))/(v/(((v*v**(-2/55)*v)/v)/v)*v**(-2/23)) assuming v is positive. v**(-612362/148005) Simplify ((q/(q**(1/5)/q))**0/((q**(-5)/q)/(q/((q*q**(3/11)*q)/q)*q)))**(-35) assuming q is positive. q**(-2590/11) Simplify ((s/(s*((s**(1/2)*s)/s)/s)*s*(s*s/s**6)/s)/(s*s**(-1/3)*s**(-2/3)*s*s))**4 assuming s is positive. s**(-22) Simplify ((i*i**(2/11))/i**11)/(i*i**(-14))**(1/7) assuming i is positive. i**(-613/77) Simplify (i**(1/4))**(-1/14)*(i/((i*(i**(2/5)/i)/i*i)/i))**(2/13) assuming i is positive. i**(831/3640) Simplify ((g*g**(-1/11)/g*g)/g**7)/(g**(-1/3)*g*g/(g/(g*((g**(1/14)*g*g)/g)/g))) assuming g is positive. g**(-3617/462) Simplify (q/q**(1/11)*q)/q**(-9)*q/(q**(-2)/q)*q*q**(-6) assuming q is positive. q**(109/11) Simplify a**(-10/9)*a/(a**(-22)*a*a)*(a**(-6/5))**(7/10) assuming a is positive. a**(4286/225) Simplify ((d**(-3)/d)/((d/(d**(-7)*d*d))/d)*d**(-1/3)/d**(1/10))**(3/11) assuming d is positive. d**(-283/110) Simplify (r**(2/5)/r**(-3/5)*r**(2/11)*r*r**(-5)/r*r)**29 assuming r is positive. r**(-899/11) Simplify i**(1/29)*i*i**(2/17)/i*i*(i*i**26)/i**(7/4) assuming i is positive. i**(52065/1972) Simplify w*w**(-3/2)*w*w**(-23)*(w*w*w*w**(-2/23)*w)/(w/w**13) assuming w is positive. w**(-303/46) Simplify (x/x**(-1/4))**4/(x/((x/x**2)/x))**(-4/7) assuming x is positive. x**(47/7) Simplify (x**(1/6)*(x**(-9)/x)/x)/(x**(2/5)/(x*x/x**(1/11)*x)) assuming x is positive. x**(-2747/330) Simplify ((((m**6/m)/m*m)/m)/(((m*((((m/((m**27*m)/m))/m)/m)/m*m)/m)/m)/m))/(m**(-11)/(m**9/m*m)) assuming m is positive. m**54 Simplify (c**38/((c*c*c**(3/19))/c))/((((c*c*c/(c*c**(8/5)/c*c))/c)/c)/c)**(-19/4) assuming c is positive. c**(9307/380) Simplify w**(-5/2)*w*w*w*w/w**6*w*w*w/w**(-1/13)*w**(-16) assuming w is positive. w**(-453/26) Simplify ((p/(p/(p/(p*p/(p/(p**(-2/3)/p))))))/(p/p**(-6/11)))/((p/(p*((p*p/p**(-1/2))/p)/p))/(p**(1/4)/p)) assuming p is positive. p**(-17/132) Simplify (n**(-2/15)/(n**6/n))/((n/(n*n*n*n*n**11/n*n*n*n*n))/n**(-8/3)) assuming n is positive. n**(46/5) Simplify (h**(2/3)*h)/h*h**0*(h**15/h)/h*h**10 assuming h is positive. h**(71/3) Simplify ((g*g*g**1*g**(-2)*g)**2)*
{ "pile_set_name": "DM Mathematics" }
- -113. Solve h*c + 2*p - 10 = 0, c + o*p - 4 = -c for c. 2 Let i be ((-748)/85)/(2/(-10)). Let a = i + -39. Let z = 11 + a. Solve -3*p + 3*v - 6 = 0, -2*v = 2*p - 0*v - z for p. 3 Let x = -5475 + 5486. Solve -4*o + 3*j = x - 39, 0 = -4*o - 4*j for o. 4 Suppose -32*n + 36*n - 4 = 0. Let k(d) = 9*d - 5. Let g be k(n). Suppose 27 = 3*z + 3. Solve -3*b = r + g + 2, 0 = -4*b + 2*r - z for b. -2 Suppose 0 = -307*x + 305*x - 4, -3*j = x - 7. Solve 45 = -8*m + j*r, 4*m + 2*r = -1 + 3 for m. -3 Let m(a) = a**3 + 6*a**2 + 8*a + 2. Let t be m(-4). Let i be (t/3)/(50/375). Solve 5*q + 2*g + 18 = 0, 5*q - 4*q = g - i for q. -4 Let l = 2334 + -2308. Solve -3*p + l = -p + 4*y, p = -y + 8 for p. 3 Let y be 1 - ((-54)/3 + 3). Let q = y + 24. Let u be (-4)/(-3)*9/6. Solve 6*n - q = 4*w + u*n, -30 = 2*w - 4*n for w. -5 Let r(y) = -728*y + 3642. Let w be r(5). Solve -3*d + 17 = -4*s, -12*s = w*d - 14*s - 8 for d. -1 Suppose 0*h - 3*h = d - 9, 0 = -2*h - 4*d + 26. Solve h = -5*f + 2*a, -5*f + 8*a = 7*a - 2 for f. 1 Suppose -16*r - 127 = -17*r + 4*f, 5*r = 5*f + 530. Solve -4*y - 2*w = -18, -y + 102*w = r*w + 6 for y. 3 Let t be (-15)/5*(-26)/6*1. Suppose -2*f = k, -17*f = -t*f + 3*k + 4. Solve -2*y - f*l + 0 + 2 = 0, -4*l - 10 = -3*y for y. 2 Suppose 6*j = 10 + 44. Suppose -128*i = -131*i + j. Solve 0*b + i*t + 16 = b, 0 = -4*b + 3*t + 28 for b. 4 Suppose 6*i + 244 - 292 = 0. Solve 2*s = -8, -i*s = 3*t - 4*s + 1 for t. 5 Suppose 0 = -4*b + 2*k + 16, 0*k = -2*b + 2*k + 12. Let n be 36 + (4 - (b - 0)). Let t = n - 33. Solve -4*s - 2*m = 12, t*s + 4*m - 11 = 4*s for s. -5 Let f = 6742 - 6734. Solve -4*u + 5*k + 2 = 0, -3*u + f*k - 4 = 7*k for u. -2 Let z(u) = -14*u + 120. Let x be z(8). Suppose 4*q - 23 = 3*h, x*q + 12 = 4*q - 4*h. Solve 2 = -5*o - 3, s + 3*o - q = 0 for s. 5 Suppose 1457*s - 1426*s = 93. Solve u = -2*v - 7, -s*v + 10 = -5*v - 4*u for v. -3 Let q(u) = u**2 - 18*u + 82. Suppose -2 + 32 = 3*s. Let f be q(s). Solve 0 = 4*p - p - f*n + 15, -2*p - 2*n - 10 = 0 for p. -5 Let u(m) = -54 - 44*m + 17*m**2 - 22*m + m**3 + 8*m + 0*m**2 + 9*m**2. Let f be u(-28). Solve -f*c + 12 = 2*c + 4*i, -5*i - 12 = -4*c for c. 3 Let o be 20/25*((-1364)/(-264) - (-2)/(-12)). Solve 50*d + o*h + 11 = 47*d, d - 2*h = 3 for d. -1 Let p = -21757 - -21759. Solve -4*t = -t + 4*y + 20, 3*t = p*y - 8 for t. -4 Suppose -168 = -2*n + 5*n + 3*p, 4*n - 5*p + 188 = 0. Let r = n + 50. Let k be 22/7 - r/(-14). Solve -3*y = 2*d + 13, 0 = 3*d + k + 3 for y. -3 Let c = -606 - -608. Suppose c*u - 9*u = 4*u. Solve u = -i - s + 4, 2*i - s = -3*i + 8 for i. 2 Let y be (-8)/6*((-162)/405 - 74/40). Solve 3 = -2*w - y*w + o, 2*w - o = 0 for w. -1 Suppose 491*x - 4*c - 30 = 488*x, 2*x - 28 = 4*c. Solve -5*h + 11 = -w, w + 5*h - 11 + x = 0 for w. -1 Let x(u) = -29*u - 810. Let o be x(-28). Solve 0 = r + 5*k + 28, 5*k + 15 = o*k for r. -3 Let z = -8099 - -8104. Solve 5*a = b - 44 + 73, -z*b + 4*a = 40 for b. -4 Suppose -q = m, -14*m = -3*q - 12*m + 25. Let c be ((-2)/q)/((-10)/75). Solve 8*l - c*x = 4*l - 26, l = 4*x - 13 for l. -5 Suppose 0 = -881*l + 876*l + 25. Suppose -x = 2*j - 15, -3*j + 5*x = 5 + l. Solve 2*a = -u - j, u + u - 5 = a for a. -3 Let s be (-246)/(-205)*((-50)/(-70))/((-2)/(-7)). Solve s*l + 4*p = 2, -p + 109 - 104 = 3*l for l. 2 Suppose 17 = 5*o + 2. Suppose o*s - 38 = -20. Solve -2*h + 0*h - n + s = 0, 4*h = -3*n + 8 for h. 5 Let d be (1/3 - 80/(-30)) + (4 - 2). Solve -d*u = -6*u - 5*t + 4, 3*t = -4*u - 18 for u. -6 Let w be 25/(-10)*((4 - -1) + (-174)/30). Solve 7 = 3*p - j - j, -p = -j - w for p. 3 Suppose 0 = -5*j + t + 575, -3*j - 5*t = -0*j - 345. Let y = j - 109. Solve h + y = 3*r, 5*h + 5*r - 10 = h for h. 0 Let b be (-9)/(-6)*(-8)/(-3). Suppose -5*c = -3*w - 92 - 54, -2*c + w = -57. Solve b*s - c = -f + 4*f, 20 = 5*s for f. -3 Suppose -2*n + 226*f + 73 = 221*f, -3*n = 2*f - 157. Solve 4*y = -5*c + 4, 3*c - 4*y + 21 - n = 0 for c. 4 Let f(c) be the third derivative of c**5/60 + 5*c**4/24 + c**3/6 - 14*c**2. Let u be f(5). Let d = 55 - u. Solve -2*j = 5*x, -4*x - 37 = -d*j - 9 for x. -2 Suppose 0 = -378*q + 370*q + 2000. Suppose -16*h = -6*h - q. Solve 4*g = -g + 3*x - h, 3*g - 4*x = -15 for g. -5 Let z be 0 - 149/(-5) - 55/(-275). Let o(r) = 3*r**2 - r. Let v be o(1). Suppose -27 + v = -5*m. Solve 23 = -3*a - c + m*c, -5*c = -5*a - z for a. -1 Suppose 64*o + 52*o = 1972. Solve -22*d = -o*d + 3*w + 10, 0 = -2*d - 4*w + 10 for d. -5 Let r be ((-9)/2 + (-40)/(-10))*-148. Suppose 11*w - r = -19. Solve 3*k + h - w + 1 = 0, -h = 2*k - 3 for k. 1 Suppose -11*w + 5*h + 11 = -8*w, 4*h = 5*w - 27. Solve -6*c + 3*r + 7 = -w*c, -5*c - 11 = 3*r for c. -1 Suppose -425 = 42*t - 127*t. Solve -3*v = -5*i + 10, t*v - i + 21 = 19 for v. 0 Suppose -3*j = 9 - 12 - 21. Solve -3*m + 16 = 6*p - j*p, 3*m = 3*p + 21 for p. -5 Let a(x) = 5*x + 5. Let n(s) = s - 4. Let y be n(7). Let g be a(y). Suppose -2*w + g = 14. Solve -5*c + 37 = -w*t, -3*t - 4*c + 0*c + 8 = 0 for t. -4 Suppose -2*z + 20 = 2*z. Let i = -121059 + 121097. Solve -3*y + i - 13 = z*g, -2*g + 10 = y for g. 5 Let k be -1*2 + (-18 - -20). Suppose 5*h = 5*b + 5 - k, 2*h - 10 = 0. Let n = b - -4. Solve 3*j = -v + 2 + n, 3*j + 2*v - 8 = 0 for j. 4 Let n(v) = -v**3 + 20*v**2 - 17*v - 31. Let m be (-627)/(-165)*(2 - -3). Let q be n(m). Solve -y + 5 = -x, -q*y + 3*y = -x - 20 for y. 5 Let x(n) = -5*n**3 + 2*n - 2*n + 4*n**3 + 2. Let w be ((-234)/(-27))/13 + (-6)/9. Let s be x(w). Solve 5*o + 3*t = -30, -5*o + s*t = 2 + 3 for o. -3 Suppose 0 = -56*g - 75*g + 262. Solve -3*l - 5 = 4*z + 5, g*l = 3*z - 1 for l. -2 Let h = 3736 - 3733. Solve p - 13 = -2*f, -f = -p + h*f - 11 for p. 5 Suppose 364 = 59*t - 7*t. Solve 4*l + 2*c + 13 = t*c, -5*l = -5*c + 10 for l. 3 Let c(o) = 6*o**3 + 9*o + 21. Let h be c(-3). Let r = h - -193. Solve -5*s = -2*z + r, -5*z + 16 = -2*s - 3*z for s. -3 Let j(c) = 582 - 585 - 4*c + 5*c**2 + 5*c. Let y be j(1). Solve -3*o = 3*w - 0*w + 12, -w - 10 = y*o for o. -3 Let l(k) = -k**2 - 16*k + 83. Let c be l(-20). Let r be (15 - 16)*(-15)/c. Solve n + r*o = 18 - 3, -3*o + 21 = 3*n for n. 5 Suppose -2*n = -5*n - 3*p + 24, -12 = -3*p. Let o be 1*-1 + (-2 - -7). Solve 0 = -o*q - 2*u - 2, -4*q + 0*q - 32 = -n*u for q. -3 Let v(s) = s**3 - 9*s**2 + 16*s + 1. Let r be v(2). Solve 0 = 2*a + r*d + 23, 39 = -5*a + 5*d + 69 for a. 1 Let w(h) = -38*h - 2. Let o be w(3). Let n = o + 115. Let z be (-75)/(-45)*(1*4 + n). Solve 5 = q + 4*r - 5, -z*q = -3*r - 4 for q. 2 Let m = 235 + -235. Suppose m = 3*c - 3*q + 6, -9 = -c - 3*q + 5. Solve -k - k - 2*r = 0, -14 = 5*k - c*r for k. -2 Suppose 762 - 902 = 7*l. Let y be ((-4 - -2) + -4)*l/15. Solve 2*b + 4*a + y = 0, b + 0*b = -5*a - 4 for b. -4 Let d(y) = 2*y**3 - 167*y**2 + 713*y - 153. Let a be d(79). Solve 11*x + 33 = 3*b, -4*x + 3 = -a*x - b for x. -3 Let h = -3980 - -3991. Solve 0 = 3*f - 4*j - 5, 0 = 4*f - 4*j - h + 7 for f. -1 Suppose -4*v - y - 75 = 0, 5*y - 3*y = 3*v + 59. Let z = v + 13. Let s be 15/z*(-5 - -3). Solve -a - i = 2*i - s, -2*i - 4 = -3*a for a. 2 Suppose 3711*v - 3678*v - 66 = 0. Solve -v*k + 8*b = 4*b + 4, -10 = -5*k + 5*b for k. 6 Let z(m) = 3*m**2 + 56*m + 104. Let c be z(-2). Solve -15 = -3*w + c*s, 12*w - 7*w - s - 8 = 0 for w. 1 Let s(r) be the second derivative of -2*r**3 - 93*r**2/2 + 34*r + 1. Let q be s(-8). Solve -5*d - 5*h - 30 = 0, -5*d = -4*h + q*h + 18 for d. -4 Suppose -3091 + 6566 = 139*u. Solve 0*p + 20 = p - 5*r, 3*p + 2*r + u = 0 for p. -5 Let h = 281 + -278. Solve 0 = -h*o - 13*u + 10*u - 24, -3*o - 9 = -2*u for o. -5 Suppose -z + 2*j = -0*z, 5*j = -5*z + 30. Suppose -z*w = -9*f + 5*f + 32, 0 = -2*f - 3*w + 6. Solve -4 = c - 2*d, 2*c - f*d + 12 = -d for c. 4 Let s(d) = 3*d - d**3 - 7*d - 3*d - 15 - 4*d + 9*d**2. Let q be s(7). Solve 2*a = 3*n - 8, n + 2 = q for a. 2 Let g = -7028 - -7031. Solve 0 = -l - 3*b - g, 192*l = 197*l + 4*b + 4 for l. 0 Let b be (2 - (-2277)/(-6))*24/(-30). Let g = b + -300. Solve -5*r + 3*c - 4*c + 26 = 0, 2*c - g = 0 for r. 5 Let y = -309 - -319. Let f be (y - 5)*(4 - (4 + -1)). Solve m + 5*l = 4*l + 1, -5 = -f*m + 4*l for m. 1 Let x be (-1*2)/(1/3). Let k be x/4*20/(-6). Suppose 3*r + j = 7*r - 9, 4*r + 5*j - 3 = 0. Solve k*p = -4*w + 9, -2*p + w - r*w + 6 = 0 for p. 5 Let k(w) = 15*w**2 - 7*w**2 - 29355*w**3 + w + 12
{ "pile_set_name": "DM Mathematics" }
n 37226 is divided by 37172? 54 What is the remainder when 1569468 is divided by 1320? 1308 Calculate the remainder when 344801 is divided by 6049. 8 What is the remainder when 2184 is divided by 14? 0 Calculate the remainder when 1317 is divided by 1253. 64 What is the remainder when 14361 is divided by 342? 339 What is the remainder when 2231 is divided by 43? 38 Calculate the remainder when 149182 is divided by 888. 886 What is the remainder when 19297 is divided by 2411? 9 Calculate the remainder when 25918 is divided by 37. 18 Calculate the remainder when 839 is divided by 137. 17 Calculate the remainder when 10290 is divided by 5066. 158 What is the remainder when 13082 is divided by 212? 150 What is the remainder when 999 is divided by 73? 50 Calculate the remainder when 21341 is divided by 7107. 20 Calculate the remainder when 1317 is divided by 734. 583 What is the remainder when 5470 is divided by 166? 158 What is the remainder when 146316 is divided by 540? 516 Calculate the remainder when 2815 is divided by 458. 67 Calculate the remainder when 29387 is divided by 207. 200 Calculate the remainder when 3228 is divided by 27. 15 What is the remainder when 7913 is divided by 7885? 28 Calculate the remainder when 243847 is divided by 81252. 91 Calculate the remainder when 281849 is divided by 39. 35 What is the remainder when 34171 is divided by 9? 7 Calculate the remainder when 831279 is divided by 585. 579 Calculate the remainder when 140588 is divided by 127. 126 What is the remainder when 28447 is divided by 28328? 119 Calculate the remainder when 6546 is divided by 102. 18 What is the remainder when 2489289 is divided by 311160? 9 What is the remainder when 662 is divided by 640? 22 Calculate the remainder when 1142 is divided by 102. 20 What is the remainder when 6507 is divided by 1662? 1521 Calculate the remainder when 161839 is divided by 281. 264 Calculate the remainder when 168637 is divided by 84313. 11 What is the remainder when 104450 is divided by 65? 60 Calculate the remainder when 36479 is divided by 16. 15 Calculate the remainder when 424183 is divided by 26. 19 What is the remainder when 53687 is divided by 31? 26 What is the remainder when 188417 is divided by 188413? 4 What is the remainder when 677 is divided by 185? 122 What is the remainder when 1011 is divided by 96? 51 What is the remainder when 252256 is divided by 4? 0 What is the remainder when 104228 is divided by 65? 33 What is the remainder when 1542 is divided by 59? 8 What is the remainder when 32817 is divided by 38? 23 What is the remainder when 68423 is divided by 1396? 19 Calculate the remainder when 1042642 is divided by 102. 100 What is the remainder when 1135 is divided by 181? 49 What is the remainder when 17241 is divided by 301? 84 What is the remainder when 16321 is divided by 52? 45 What is the remainder when 127788 is divided by 5111? 13 Calculate the remainder when 358824 is divided by 13. 11 Calculate the remainder when 713 is divided by 232. 17 What is the remainder when 10539 is divided by 246? 207 What is the remainder when 15564 is divided by 7747? 70 Calculate the remainder when 23099 is divided by 11429. 241 What is the remainder when 3248 is divided by 770? 168 Calculate the remainder when 5921 is divided by 79. 75 What is the remainder when 213632 is divided by 124? 104 What is the remainder when 105358 is divided by 2394? 22 What is the remainder when 1165 is divided by 23? 15 Calculate the remainder when 4992 is divided by 333. 330 What is the remainder when 29775 is divided by 2118? 123 What is the remainder when 117791 is divided by 58893? 5 What is the remainder when 20706 is divided by 196? 126 What is the remainder when 49880 is divided by 8313? 2 What is the remainder when 20655 is divided by 20569? 86 Calculate the remainder when 6705 is divided by 571. 424 Calculate the remainder when 43721 is divided by 7286. 5 Calculate the remainder when 4520 is divided by 91. 61 Calculate the remainder when 114531 is divided by 202. 199 Calculate the remainder when 23063 is divided by 2087. 106 What is the remainder when 7143 is divided by 397? 394 Calculate the remainder when 770854 is divided by 3488. 6 Calculate the remainder when 536359 is divided by 88. 87 Calculate the remainder when 11514 is divided by 281. 274 Calculate the remainder when 326024 is divided by 446. 444 Calculate the remainder when 3206332 is divided by 1067. 1064 What is the remainder when 36584 is divided by 2438? 14 What is the remainder when 2156 is divided by 680? 116 What is the remainder when 48499 is divided by 20? 19 What is the remainder when 23814282 is divided by 26? 24 What is the remainder when 1243 is divided by 384? 91 What is the remainder when 220211 is divided by 103? 100 Calculate the remainder when 8089 is divided by 19. 14 What is the remainder when 42567 is divided by 42519? 48 What is the remainder when 26944 is divided by 6579? 628 What is the remainder when 539175 is divided by 6825? 0 Calculate the remainder when 31576 is divided by 28. 20 Calculate the remainder when 12552 is divided by 40. 32 Calculate the remainder when 1011725 is divided by 218. 205 What is the remainder when 6632 is divided by 363? 98 What is the remainder when 71827 is divided by 69? 67 Calculate the remainder when 840 is divided by 348. 144 Calculate the remainder when 954 is divided by 160. 154 Calculate the remainder when 600293 is divided by 17151. 8 Calculate the remainder when 83769 is divided by 5234. 25 What is the remainder when 187125 is divided by 184? 181 What is the remainder when 9112 is divided by 2264? 56 What is the remainder when 3667 is divided by 3345? 322 Calculate the remainder when 4844 is divided by 36. 20 Calculate the remainder when 19611 is divided by 52. 7 What is the remainder when 1624 is divided by 464? 232 Calculate the remainder when 328177 is divided by 30. 7 What is the remainder when 13481 is divided by 71? 62 What is the remainder when 12468 is divided by 6231? 6 Calculate the remainder when 159946 is divided by 26. 20 What is the remainder when 40173 is divided by 2869? 7 Calculate the remainder when 428691 is divided by 5567. 32 Calculate the remainder when 767 is divided by 256. 255 What is the remainder when 28316 is divided by 4045? 1 What is the remainder when 10452 is divided by 51? 48 Calculate the remainder when 21955 is divided by 7316. 7 What is the remainder when 345 is divided by 11? 4 Calculate the remainder when 537 is divided by 162. 51 What is the remainder when 5135 is divided by 135? 5 What is the remainder when 46456 is divided by 89? 87 What is the remainder when 2663405 is divided by 237? 236 What is the remainder when 496 is divided by 147? 55 What is the remainder when 5298 is divided by 27? 6 Calculate the remainder when 1939 is divided by 188. 59 Calculate the remainder when 1503178 is divided by 21. 19 What is the remainder when 5696 is divided by 227? 21 Calculate the remainder when 338653 is divided by 3320. 13 What is the remainder when 996147 is divided by 30? 27 What is the remainder when 28311 is divided by 11? 8 Calculate the remainder when 6416 is divided by 582. 14 What is the remainder when 1653467 is divided by 79? 76 What is the remainder when 226339 is divided by 747? 745 What is the remainder when 16235 is divided by 4054? 19 What is the remainder when 1627 is divided by 97? 75 Calculate the remainder when 161268 is divided by 3. 0 What is the remainder when 8516 is divided by 2593? 737 Calculate the remainder when 313481 is divided by 1381. 1375 Calculate the remainder when 72322 is divided by 98. 96 Calculate the remainder when 196052 is divided by 372. 8 What is the remainder when 1568 is divided by 1438? 130 What is the remainder when 22820 is divided by 415? 410 Calculate the remainder when 375830 is divided by 7. 0 What is the remainder when 4302 is divided by 118? 54 Calculate the remainder when 182202 is divided by 13. 7 What is the remainder when 58655 is divided by 752? 751 Calculate the remainder when 27797 is divided by 3474. 5 What is the remainder when 599355 is divided by 3188? 11 Calculate the remainder when 13565 is divided by 64. 61 What is the remainder when 203
{ "pile_set_name": "DM Mathematics" }
cking 1 p and 1 b when two letters picked without replacement from piggbggbgbpzgopp? 1/10 Two letters picked without replacement from vhvvvaeyaeyvg. Give prob of picking 1 e and 1 y. 2/39 Three letters picked without replacement from irclmfmfrmfmimr. What is prob of picking 1 f and 2 i? 3/455 What is prob of picking 1 n and 2 v when three letters picked without replacement from {t: 2, c: 2, v: 5, i: 2, n: 1, e: 5}? 1/68 Three letters picked without replacement from {n: 1, z: 5, o: 2, u: 6, a: 3}. What is prob of picking 1 u, 1 o, and 1 z? 3/34 Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {t: 4, q: 7, w: 1, v: 3, o: 2}. 3/680 Three letters picked without replacement from zzsszzzszzzzzzzzzszz. Give prob of picking 3 z. 28/57 Two letters picked without replacement from rooooyy. Give prob of picking 2 o. 2/7 Two letters picked without replacement from {z: 1, g: 3}. What is prob of picking 2 g? 1/2 Calculate prob of picking 4 k when four letters picked without replacement from {k: 8, v: 5}. 14/143 Four letters picked without replacement from wkqkn. What is prob of picking 2 k, 1 q, and 1 n? 1/5 Calculate prob of picking 1 e, 1 n, and 1 y when three letters picked without replacement from {q: 2, n: 1, w: 1, y: 1, p: 2, e: 1}. 1/56 What is prob of picking 2 x, 1 n, and 1 e when four letters picked without replacement from rxnwwwwaaaawexaw? 1/1820 Calculate prob of picking 3 u and 1 n when four letters picked without replacement from unwwuwwwwwwuuuwwuww. 5/969 Four letters picked without replacement from zszhsq. What is prob of picking 1 h and 3 q? 0 What is prob of picking 1 d and 1 c when two letters picked without replacement from {k: 3, c: 3, z: 1, d: 3, u: 1, t: 3}? 9/91 Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {v: 1, a: 2, w: 1, x: 3, l: 6}. 3/286 Four letters picked without replacement from {j: 2, k: 1, x: 2, o: 1}. What is prob of picking 1 k, 1 o, 1 j, and 1 x? 4/15 Two letters picked without replacement from pqqppappppgpg. Give prob of picking 1 q and 1 g. 2/39 Four letters picked without replacement from axxhhaxh. Give prob of picking 2 x and 2 h. 9/70 Two letters picked without replacement from bnddndnbdmn. Give prob of picking 2 b. 1/55 Two letters picked without replacement from nnnnnnngnnnnnggnnn. What is prob of picking 1 n and 1 g? 5/17 Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {a: 1, i: 1, p: 1, d: 1, k: 1}. 1/10 What is prob of picking 2 s when two letters picked without replacement from {s: 2, g: 8}? 1/45 Two letters picked without replacement from {y: 1, h: 1, w: 1}. Give prob of picking 1 y and 1 h. 1/3 What is prob of picking 1 r and 2 y when three letters picked without replacement from lqriirlyrkkliq? 0 Two letters picked without replacement from zpzqzjqqfzzqizzz. What is prob of picking 1 f and 1 q? 1/30 Two letters picked without replacement from {j: 7, i: 3, w: 3}. Give prob of picking 1 i and 1 j. 7/26 Calculate prob of picking 2 q when two letters picked without replacement from ddddqcqcqcc. 3/55 Two letters picked without replacement from wcwcwwcccwcwcw. Give prob of picking 1 c and 1 w. 7/13 What is prob of picking 1 t and 1 o when two letters picked without replacement from twotdoeetwtoowdow? 5/34 Three letters picked without replacement from {m: 8, s: 3}. Give prob of picking 3 m. 56/165 Calculate prob of picking 2 u and 1 r when three letters picked without replacement from rvvvvuvrrvvvvvvuru. 1/68 What is prob of picking 2 g, 1 k, and 1 f when four letters picked without replacement from rrkkfnkfkgrnggnrknzr? 2/323 Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {p: 1, x: 7, r: 6, m: 1, e: 2}. 3/68 Calculate prob of picking 1 c and 1 w when two letters picked without replacement from iwwwiiwiiwwwwwciw. 5/68 What is prob of picking 1 d and 2 w when three letters picked without replacement from wnnwdwiiinii? 3/220 Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {q: 4, p: 1, a: 1, w: 5, i: 4, e: 3}. 5/153 Two letters picked without replacement from {z: 1, p: 1, n: 3}. Give prob of picking 1 z and 1 n. 3/10 Two letters picked without replacement from {a: 1, x: 2, f: 5, d: 1}. What is prob of picking 1 a and 1 f? 5/36 What is prob of picking 2 s and 1 o when three letters picked without replacement from sooossossoossoss? 9/20 Three letters picked without replacement from rerveeetveeeeeve. Give prob of picking 1 t and 2 e. 9/112 Three letters picked without replacement from {m: 2, a: 1, t: 2, j: 2, w: 8}. What is prob of picking 1 m, 1 a, and 1 t? 4/455 Calculate prob of picking 2 j when two letters picked without replacement from {v: 3, l: 5, j: 2, c: 5}. 1/105 What is prob of picking 3 p and 1 v when four letters picked without replacement from {v: 1, p: 18}? 4/19 Four letters picked without replacement from ummumumuwuaua. Give prob of picking 1 u, 1 m, 1 a, and 1 w. 48/715 What is prob of picking 1 f and 2 a when three letters picked without replacement from atatf? 1/10 Calculate prob of picking 2 u when two letters picked without replacement from iiiiuiuququ. 6/55 What is prob of picking 2 i when two letters picked without replacement from siiaiasa? 3/28 What is prob of picking 1 r and 2 w when three letters picked without replacement from rrrrwnwwwnwwwr? 15/52 Calculate prob of picking 2 s when two letters picked without replacement from {s: 12, x: 7}. 22/57 Three letters picked without replacement from {v: 10, p: 2}. Give prob of picking 2 p and 1 v. 1/22 Three letters picked without replacement from {k: 9, r: 2, g: 3, c: 2}. What is prob of picking 1 k and 2 g? 27/560 Two letters picked without replacement from {w: 4, c: 4, p: 1, q: 2, h: 6}. What is prob of picking 1 q and 1 p? 1/68 What is prob of picking 4 f when four letters picked without replacement from fmfwmmfmismwffffm? 1/68 Three letters picked without replacement from anannnannannnnnnaaa. What is prob of picking 3 a? 35/969 What is prob of picking 1 z, 2 v, and 1 y when four letters picked without replacement from kvvckyczyzyzyyk? 1/91 Four letters picked without replacement from tatttsasttassttt. What is prob of picking 1 s and 3 t? 12/65 Four letters picked without replacement from {p: 6, b: 13}. Give prob of picking 2 p and 2 b. 195/646 Three letters picked without replacement from iqiccccquliucll. What is prob of picking 2 i and 1 l? 9/455 What is prob of picking 3 s and 1 b when four letters picked without replacement from {s: 6, b: 2}? 4/7 Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {h: 4, t: 3, w: 13}. 26/95 Two letters picked without replacement from {i: 5, u: 8}. Give prob of picking 2 i. 5/39 What is prob of picking 1 y, 1 z, 1 c, and 1 h when four letters picked without replacement from yhzctzzytyz? 2/55 Two letters picked without replacement from pppppdpppup. What is prob of picking 2 p? 36/55 What is prob of picking 1 l and 1 d when two letters picked without replacement from qqqdvvdfvqldqq? 3/91 What is prob of picking 4 n when four letters picked without replacement from njnnnjjnjjnjjn? 5/143 Three letters picked without replacement from lolr. Give prob of picking 1 l, 1 r, and 1 o. 1/2 Calculate prob of picking 2 n when two letters picked without replacement from rrnrrrnnrnnrrrnn. 7/40 Two letters picked without replacement from {h: 11, v: 1, q: 2}. What is prob of picking 2 q? 1/91 Three letters picked without replacement from {a: 8, m: 4, u: 2, v: 2}. What is prob of picking 1 v and 2 u? 1/280 What is prob of picking 1 o and 1 t when two letters picked without replacement from csososottooqsooq? 7/60 Four letters picked without replacement from cccccccccc. What is prob of picking 4 c? 1 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from uduqu. 1/10 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {c: 3, l: 2, p: 1, k: 1, r: 2, m: 9}. 2/153 Three letters picked without replacement from kphtaahkahahk. What is prob of picking 2 k and 1 h? 6/143 What is prob of picking 1 t, 1 b, and 1 v when three letters p
{ "pile_set_name": "DM Mathematics" }
u: 1}. What is prob of sequence uea? 1/105 Calculate prob of sequence nj when two letters picked without replacement from jnnj. 1/3 What is prob of sequence aq when two letters picked without replacement from vaqaavatav? 1/18 Two letters picked without replacement from vvrifvrirvsfsr. Give prob of sequence ff. 1/91 Two letters picked without replacement from {i: 2, n: 9, s: 5}. Give prob of sequence si. 1/24 Two letters picked without replacement from weevjewjewvspp. Give prob of sequence es. 2/91 Four letters picked without replacement from npdnbbmodmbn. What is prob of sequence bond? 1/660 What is prob of sequence emqf when four letters picked without replacement from feeqeeeeeeemeeeme? 13/28560 What is prob of sequence tty when three letters picked without replacement from sjjspxxstxtpjtys? 1/560 Three letters picked without replacement from kwjmpjk. Give prob of sequence kpp. 0 Two letters picked without replacement from {q: 3, d: 1, z: 1, v: 6, f: 5, k: 1}. Give prob of sequence zd. 1/272 Calculate prob of sequence nhs when three letters picked without replacement from snwfsftnsshst. 5/858 Two letters picked without replacement from pjxpjapjpjx. Give prob of sequence aj. 2/55 What is prob of sequence aa when two letters picked without replacement from {a: 3, q: 5, c: 1}? 1/12 Two letters picked without replacement from {i: 1, v: 5, k: 1, q: 1, t: 1}. Give prob of sequence vk. 5/72 What is prob of sequence nnnw when four letters picked without replacement from lwlllnwllnlnlnllnn? 1/306 What is prob of sequence qqq when three letters picked without replacement from qkqqqqqk? 5/14 Two letters picked without replacement from aaazaazzazazzs. What is prob of sequence zs? 3/91 What is prob of sequence btn when three letters picked without replacement from {k: 2, b: 2, t: 4, n: 1, g: 9, h: 2}? 1/855 Calculate prob of sequence vccs when four letters picked without replacement from {s: 1, c: 5, l: 1, v: 4}. 1/99 What is prob of sequence cccc when four letters picked without replacement from cnccnccn? 1/14 Three letters picked without replacement from qqqkkqqk. Give prob of sequence qqk. 5/28 Calculate prob of sequence lz when two letters picked without replacement from zzlzzhhzhhhlhzhzlz. 4/51 Two letters picked without replacement from {f: 3, o: 3, q: 1, x: 3, c: 2, z: 2}. What is prob of sequence xx? 3/91 Calculate prob of sequence ij when two letters picked without replacement from jijiiiij. 15/56 Three letters picked without replacement from {z: 1, e: 1, y: 5, r: 2, n: 2, i: 2}. What is prob of sequence nry? 5/429 Four letters picked without replacement from {d: 4, n: 3}. What is prob of sequence dnnn? 1/35 Two letters picked without replacement from wssmismsmwmmmimivs. Give prob of sequence ws. 5/153 Calculate prob of sequence abb when three letters picked without replacement from {a: 2, b: 11}. 5/39 Three letters picked without replacement from grfgaajaaajrruujaur. Give prob of sequence grr. 4/969 Two letters picked without replacement from {m: 2, n: 7}. Give prob of sequence mm. 1/36 Two letters picked without replacement from {n: 1, p: 1, g: 2, u: 4}. What is prob of sequence gu? 1/7 Calculate prob of sequence rtne when four letters picked without replacement from njrwter. 1/420 Two letters picked without replacement from fmmfmuuufmmmvm. What is prob of sequence vu? 3/182 Calculate prob of sequence obt when three letters picked without replacement from tzboemb. 1/105 Calculate prob of sequence dr when two letters picked without replacement from rvddrlleldq. 3/55 Calculate prob of sequence ww when two letters picked without replacement from {p: 5, c: 2, w: 2}. 1/36 Four letters picked without replacement from vjjjjkvjzjjjjv. Give prob of sequence vjjj. 9/143 Four letters picked without replacement from {e: 1, m: 3}. What is prob of sequence emmm? 1/4 Calculate prob of sequence vafa when four letters picked without replacement from {v: 1, l: 3, f: 3, m: 2, n: 1, a: 2}. 1/1980 Calculate prob of sequence rrr when three letters picked without replacement from jrrjrrjrjrr. 7/33 Calculate prob of sequence rfjs when four letters picked without replacement from rjmrfprfpsjrr. 1/858 What is prob of sequence fe when two letters picked without replacement from {n: 1, f: 2, e: 1, c: 1, t: 1, y: 1}? 1/21 What is prob of sequence yqff when four letters picked without replacement from {y: 2, q: 1, k: 9, f: 6, m: 1}? 5/7752 Four letters picked without replacement from {n: 3, x: 2}. Give prob of sequence xnnx. 1/10 Three letters picked without replacement from ndccndnddnnndrc. What is prob of sequence crd? 1/182 Four letters picked without replacement from {e: 1, o: 3}. What is prob of sequence oooe? 1/4 Calculate prob of sequence xx when two letters picked without replacement from vxxxxxv. 10/21 What is prob of sequence wmm when three letters picked without replacement from mmmwmmwmwwmmmm? 15/91 Calculate prob of sequence nbn when three letters picked without replacement from {b: 11, n: 3}. 11/364 Two letters picked without replacement from wzfdqzfffffqq. Give prob of sequence qd. 1/52 What is prob of sequence kw when two letters picked without replacement from bwpspkuw? 1/28 Calculate prob of sequence lgbg when four letters picked without replacement from {g: 4, l: 2, b: 1}. 1/35 What is prob of sequence cacc when four letters picked without replacement from kfmmammcfcfcmm? 1/4004 Calculate prob of sequence jwj when three letters picked without replacement from jjjjjjjjjjwjjjj. 1/15 Two letters picked without replacement from bgbqvvbgbg. What is prob of sequence bv? 4/45 Three letters picked without replacement from {b: 4, w: 2, e: 3}. What is prob of sequence ebw? 1/21 Two letters picked without replacement from {l: 6, c: 13}. What is prob of sequence cl? 13/57 Two letters picked without replacement from jllyylyjylyyyy. What is prob of sequence yy? 4/13 Two letters picked without replacement from zfyzyffyfyzfygybgf. Give prob of sequence zz. 1/51 Calculate prob of sequence ov when two letters picked without replacement from ovvoovovovoovvoovv. 9/34 Calculate prob of sequence jr when two letters picked without replacement from rjrrjjrjjjajajjjjrj. 10/57 Three letters picked without replacement from zzzmmxmqxmxxxzm. Give prob of sequence xmq. 5/546 Four letters picked without replacement from ccppcccc. What is prob of sequence pccc? 1/7 Calculate prob of sequence uuh when three letters picked without replacement from qhuuezu. 1/35 Four letters picked without replacement from vnvvvkwnnwwwwqwwnwqw. What is prob of sequence wqqw? 2/1615 Four letters picked without replacement from {t: 8, d: 8, p: 1}. Give prob of sequence dtdp. 2/255 Calculate prob of sequence lsy when three letters picked without replacement from oslsonyp. 1/168 Two letters picked without replacement from {j: 1, x: 2, z: 1, h: 1}. Give prob of sequence zh. 1/20 What is prob of sequence yyp when three letters picked without replacement from yyyyypyyyyyyyyysyyyy? 17/380 Three letters picked without replacement from hqddxdqd. Give prob of sequence qxq. 1/168 Calculate prob of sequence ok when two letters picked without replacement from {n: 2, o: 2, k: 1, l: 2, y: 1}. 1/28 Four letters picked without replacement from {d: 3, p: 4, g: 2, w: 3, h: 2, m: 2}. Give prob of sequence pddw. 3/1820 Four letters picked without replacement from {v: 2, o: 1, s: 1, m: 6, r: 2}. Give prob of sequence roms. 1/990 Three letters picked without replacement from iqyqyqiqrryyii. Give prob of sequence yrr. 1/273 Two letters picked without replacement from {t: 2, z: 2, g: 1, s: 1}. What is prob of sequence st? 1/15 Two letters picked without replacement from {z: 5, j: 1, x: 1, p: 1, b: 4}. Give prob of sequence bb. 1/11 Four letters picked without replacement from {z: 4, n: 2, l: 1, r: 1}. Give prob of sequence zrzn. 1/70 Calculate prob of sequence whan when four letters picked without replacement from {p: 2, w: 1, h: 3, a: 3, n: 1, q: 3}. 3/5720 Two letters picked without replacement from ipiqipn. What is prob of sequence in? 1/14 Calculate prob of sequence tg when two letters picked without replacement from bbbbgtggbtbb. 1/22 What is prob of sequence rqq when three letters picked without replacement from qrqr?
{ "pile_set_name": "DM Mathematics" }
81. Sort z, 5/3, -4. -4, z, 5/3 Let w = 23435 + -23437. Put 0.04, -220, w in descending order. 0.04, w, -220 Let u = -43.08 + 43.21. Sort u, 2, 1, 12 in decreasing order. 12, 2, 1, u Suppose 4*o + 5*y + 125 = 0, 9*y - 6*y = -3. Let g be (0 + 3 - o)*(-1)/(-18). Sort -5, -4, 5, g in increasing order. -5, -4, g, 5 Let k = -2 - -3. Suppose 276 = u + 276. Let q be -2 + 3 + -5 + 0. Put u, 3, k, q in descending order. 3, k, u, q Let h = -0.393 + 26.693. Let d = -26 + h. Let p = -39 + 39.4. Put p, d, -1/5, 0.5 in descending order. 0.5, p, d, -1/5 Let j = 3464 + -3467. Suppose 21 = 4*o + 5. Sort j, -1, 2, o in increasing order. j, -1, 2, o Let o = -17.6 - 0.4. Let c = -9.1793 - -9.2793. Sort o, c, -2/9 in descending order. c, -2/9, o Let a be (-3)/((-9)/6) - -3. Let s(w) = 77*w - 74. Let r be s(1). Suppose -2*f - q + 214 = 3*q, -206 = -2*f - 2*q. Sort r, f, a in ascending order. r, a, f Let c = -28333 - -28337. Sort c, -1, -4, -8.1, -2/9 in descending order. c, -2/9, -1, -4, -8.1 Suppose 0 = -323*j - 1107 - 185. Suppose -5*p + 4 + 11 = 0. Put -9, j, p, -1 in increasing order. -9, j, -1, p Let y be (28/(-63))/((-368)/828). Let w = 1 - 10. Put 0, y, w, 2 in decreasing order. 2, y, 0, w Let s = 134.8 - 134.3. Let b = -16 + 15.8. Sort s, 0.05, 4, b in increasing order. b, 0.05, s, 4 Suppose 0 = 10*d - 3*d. Suppose -5 = s - 10. Suppose d = -31*x + 30*x - s. Put -7, x, -2 in decreasing order. -2, x, -7 Let v = 0.04 - -0.05. Let x = -1349 - -1349.1. Sort x, 3/10, v in decreasing order. 3/10, x, v Let z = -17/12 - -5/3. Let y = -127 + 126.6. Put z, y, 3/2, -2/13 in descending order. 3/2, z, -2/13, y Let c = 0.05145 - 1.05145. Sort -42, c, -18, -0.1 in decreasing order. -0.1, c, -18, -42 Let i = -9591 + 9589. Sort i, -45, -3, -13 in descending order. i, -3, -13, -45 Let l = 11.404 - 7.404. Sort 37, -0.5, l, 0.01 in ascending order. -0.5, 0.01, l, 37 Suppose -82 = -5*i + 7*i - 2*q, 3*q + 6 = 0. Let a = i - -47. Sort -39, 3/5, a in decreasing order. a, 3/5, -39 Suppose -u + 21 = 2*a + 3*a, -84 = -4*u + 5*a. Let h be ((-1 - -4)*3)/(-20 + u). Let c be ((-21)/h - -1)/((-4)/(-6)). Sort -3, c, -1 in decreasing order. -1, c, -3 Let d = 24.7 + -9.6. Let x = 1265 + -1280. Let s = d + x. Sort 1, 13, s in decreasing order. 13, 1, s Let k(i) = 3*i + 8. Let c(f) = -2*f**2 + 38*f. Let r be c(19). Let s be k(r). Sort -4, 4, 0, s in increasing order. -4, 0, 4, s Suppose 2*n = -3*n + 20. Suppose -2*y - 2*y - 12 = 0. Let d be 136*4/(-108) + 59/1593. Sort n, y, 2, d. d, y, 2, n Let b(l) = 2*l**2 - l - 57. Let o be b(-5). Put o, 94, 4 in descending order. 94, 4, o Let t(l) = -l**3 - 14*l**2 + 14*l + 11. Let y be t(-15). Suppose 40*w + 5364 - 5444 = 0. Put w, y, 1 in decreasing order. y, w, 1 Let k = 128 + -126. Suppose -k*a - 2*p + 0 = 6, p = -2*a - 5. Sort a, -4, 210. -4, a, 210 Let w be ((-6212)/18 - -2) + (-22)/(-198). Let k be (-12)/(-14) + 9555/w. Put -4, -2/5, k in descending order. -2/5, -4, k Let i = -0.661 + -3.339. Let z = -0.32 + 0.52. Put -0.1, i, 0.1, z in increasing order. i, -0.1, 0.1, z Let a = 110 - 73. Suppose -31*r = -a*r + 30. Sort r, 1, 18 in ascending order. 1, r, 18 Suppose -139 = 8*v - 395. Suppose 0 = s - 33 + v. Put 54, 3, s in decreasing order. 54, 3, s Let w(s) = s**2 + 13*s - 32. Let v be w(-16). Suppose -4*c - 2*m + 6 = 0, 4*m = c + m + v. Sort 0.4, c, 10, -1/4 in descending order. 10, 0.4, -1/4, c Suppose 0 = 516*f + f. Put -18, 2, -2, f in decreasing order. 2, f, -2, -18 Let s = -1.02 - 0.98. Let q be ((-4)/10)/((-1)/(-105)). Let x = -37 - q. Sort x, 2, s in ascending order. s, 2, x Let d(s) = s**2 + 14*s + 41. Let m be d(-5). Sort -2/3, m, -1, -14 in decreasing order. -2/3, -1, m, -14 Suppose -201*q + 216*q - 15 = 0. Suppose 0*p = p. Put p, -5, q in increasing order. -5, p, q Let f be (-3*1/2)/(561/(-68)). Sort 4, -9, 19, -3, f in decreasing order. 19, 4, f, -3, -9 Let z = -10930 - -10930.3. Let t = -48.8 - -49. Sort -68, -4, t, z in descending order. z, t, -4, -68 Suppose -3*l + 87 = 3*j, -2*j + 45 = -2*l - 1. Suppose b + 22 = j. Let a(f) = f**2 + 13*f - 12. Let o be a(-14). Sort b, -5, 5, o in decreasing order. 5, b, o, -5 Let h be 2/4 - (-3 + 908/(-8)). Let k be (4/(-10))/(h/15 - 8). Suppose s - 3 = -2*c, 6 = 3*s + k*c - 3. Sort 16, s, 1 in increasing order. 1, s, 16 Let d = -143891 + 143886. Let w = -1 + 0. Put 4, w, 3, d in descending order. 4, 3, w, d Suppose j = -2, -2*i + 7*i - 4*j = 93. Suppose 5*g + 2*k - i = 0, 3*g + 2*k - k - 11 = 0. Sort 0, g, -5, -4 in descending order. g, 0, -4, -5 Let q = -1387 - -1305. Sort 4, q, -8, -3. q, -8, -3, 4 Let h(m) = -141*m + 2965. Let f be h(21). Sort -4, 7, f, 5 in decreasing order. 7, 5, f, -4 Suppose -2*g = 4*c, -10*g = 4*c - 11*g. Sort c, -4, -1, 4 in descending order. 4, c, -1, -4 Let m = -807 + 857. Let b = 46 - m. Sort 10, b, 1, 2/5 in decreasing order. 10, 1, 2/5, b Let k = -7598 + 7593. Sort 1, -3, 3, -68, k in descending order. 3, 1, -3, k, -68 Let o(g) = -11*g - 20. Let x be o(7). Let b = 115 + x. Suppose 7*y - 4 = -b. Sort 2, y, 9 in increasing order. y, 2, 9 Let i(j) = -35*j**2 + 3*j + 17*j**2 + 17*j**2 - 9 - 11*j. Let q be i(-4). Suppose 5 - 4 = x. Sort q, x, 2. x, 2, q Let s = -775 + 773. Put s, -6, 0 in decreasing order. 0, s, -6 Let i = -11 - -11.09. Suppose 0 = -90*k + 92*k - 504. Let u = k - 2266/9. Put i, 5, u in ascending order. i, u, 5 Let u = -0.054 + 21.054. Let l = -23 + u. Let o = -4.27 + 4.07. Put l, o, -0.6 in ascending order. l, -0.6, o Let v = 332/3 + -673/6. Put 0.1, 0.02, v in descending order. 0.1, 0.02, v Suppose 0 = -222*b + 195*b + 135. Sort 2, -111, b, 7. -111, 2, b, 7 Let u(t) = 2*t + 34. Let s be u(-6). Suppose -j + 4 - 2 = 0. Suppose 0 = 2*o + j*r - 2, -2*o - 4 = -4*r. Sort 2, 5, o, s in increasing order. o, 2, 5, s Suppose -53*r = -50*r - 18. Let l be ((-208)/(-36) - r)*2. Put 3/2, -0.1, -0.03, l in increasing order. l, -0.1, -0.03, 3/2 Let r be -3*(-3)/(9/2). Let s = 115325 + -115321. Sort -15, r, s, 3 in descending order. s, 3, r, -15 Suppose w = 7, -141 = -208*j + 212*j + 5*w. Sort -5, j, -13 in ascending order. j, -13, -5 Let r = 30.59 - 32.59. Put -5/19, 0.4, r in descending order. 0.4, -5/19, r Let u = 11.953 - 8.953. Sort u, 2, -0.124, -0.3 in decreasing order. u, 2, -0.124, -0.3 Suppose 44 = -8*p + 19*p. Suppose -7*i + 2*i + 30 = q, 0 = -i + q. Let w(n) = n**2 + 5*n + 4. Let h be w(-4). Put i, p, h in ascending order. h, p, i Suppose -4*t = -o - 3, 3*t + 2286*o = 2285*o - 3. Let m(a) = -7*a - 1. Let s be m(2). Put t, s, 2, -3 in ascending order. s, -3, t, 2 Suppose -15 = -11*c - 2 + 9. Put c, -5, -278 in decreasing order. c, -5, -278 Let t = 0.21 - -0.09. Let i = t + 0.1. Let o be (-56)/(-19) + (-2)/(6/9). Put i, 6/7, o in increasing order. o, i, 6/7 Suppose 2*t = -0*t + 16. Let v = -54209201/303 - -178908. Let w = v + -8/101. Sort w, -3, 2/7, t. -3, w, 2/7, t Let b be 16/(-32) + (-6)/4*-1. Suppose 55 - 13 = 14*d. Sort 2, d, b in increasing order. b, 2, d Let l = -35 + 25. Let s = -16 - l. Let u = 13109 + -13104. Sort u, s, 1/4. s, 1/4, u Suppose -k = 4*q + 58, -10*q + 30 = -12*q - k. Put -5, q, -4 in ascending order. q, -5, -4 Let q = 1163 - 1159. Suppose 0 = 5*u + 5*k + 50, q*u + 16*k = 13*k - 35. Suppose -n - 5*c = -10, 2*n - c + 2 = 6*n. Sort 11, -2, n, u. u, -2, n, 11 Suppose -5*r = -19*h + 18*h - 9, -9 = -4*r - h. Suppose 6*c = 4*c + 10. Suppose -7 = 3*i + c. Put r, -10, i in increasing order. -10, i, r Suppose -5*d = -30 + 10. Let x be ((-8)/12 - -15)/((-1)/(-3)). Suppose -17*r = 26*r - x. Put -5, 3, r, d in descending order. d, 3, r, -5 Suppose 2*d - 2 = -6. Let c be 108/(-72) - (-6)/4. Suppose 5*n + 5*n - 50 = 0. Sort c, d, 6, n in descending order. 6, n, c, d Let t = 39 + -32. Suppose 2*d - 4*m + 4 = t*d, -4*d - 2*m + 2 = 0. Let p(o) = -o**3 - o - 3. Let z be p(0). Sort -1, d, z in decreasing order. d, -1, z Let m = 55 - 43. Suppose 8*x - 7*x - 2*i = 8, 3*i + m = 2*x. Put 9, x, -5, -4 in increasing order. -5, -4, x, 9 Let t(u) = -4*u**2 + 72*u - 260. Let h be t(5). Sort 11, -2, -4, h, -13 in increasing order. -13, -4, -2, h, 11 Let t = -3 + 4.6. Let c = -12.77 - -11.77. Sort c, t, -3/2 in increasing order. -3/2, c, t Let y(x) = 3*x**2 + 33*x - 519. Let c be y(9). Sort c, 4, -6/5 in descending order. c, 4, -6/5 Let m be (1007/114 - 9) + 338/1
{ "pile_set_name": "DM Mathematics" }
by -4. -1/4 What is -7560 divided by -180? 42 -34789 divided by 4 -34789/4 Calculate 21 divided by 596. 21/596 Calculate 3588 divided by -3. -1196 1524 divided by 762 2 Calculate 226 divided by -1. -226 Divide 5025 by 67. 75 Divide -3 by -124. 3/124 62 divided by -1 -62 Divide 8463 by 651. 13 Calculate 4 divided by 1416. 1/354 462 divided by -2 -231 Calculate 4 divided by 917. 4/917 Calculate -82 divided by -1. 82 What is -535 divided by 1? -535 7 divided by -25 -7/25 What is 3159 divided by -4? -3159/4 -40 divided by 12 -10/3 Divide -282 by 5. -282/5 -4 divided by 16 -1/4 Divide 451 by 5. 451/5 What is -588 divided by -28? 21 8255 divided by 1 8255 What is 3220 divided by -4? -805 What is -186 divided by 6? -31 Calculate 900 divided by -12. -75 -13 divided by -10 13/10 Divide -17922 by -2987. 6 Divide 28634 by 2. 14317 What is 3 divided by -6? -1/2 -288 divided by 8 -36 -17 divided by 31 -17/31 -252 divided by 3 -84 Calculate -336 divided by -3. 112 109 divided by -80 -109/80 -4079 divided by 3 -4079/3 Divide -15560 by 5. -3112 What is 15 divided by -28? -15/28 Divide 881 by -1. -881 Divide 112 by 28. 4 What is 75 divided by -43? -75/43 -257 divided by -2 257/2 -1660 divided by -415 4 Divide -14 by -7. 2 What is 1 divided by -307? -1/307 What is 7 divided by 144? 7/144 -153645 divided by -5 30729 Divide -4332 by -2. 2166 Calculate -51832 divided by -4. 12958 5 divided by -71 -5/71 390 divided by -13 -30 What is 2192 divided by 3? 2192/3 Calculate -18408 divided by 1416. -13 Calculate -3 divided by 409. -3/409 What is 3675 divided by 105? 35 6 divided by -998 -3/499 Divide -10 by -2. 5 Calculate 3600 divided by 9. 400 Divide 3 by -54. -1/18 What is 0 divided by 1617? 0 Divide 6452 by 2. 3226 What is 7 divided by 5? 7/5 What is 3 divided by 302? 3/302 Divide -168 by -7. 24 What is -125 divided by 2? -125/2 What is -4202 divided by -4? 2101/2 Calculate 5 divided by 124. 5/124 -24422 divided by -5 24422/5 Calculate -2241 divided by 9. -249 What is -74 divided by 111? -2/3 102 divided by -5 -102/5 Divide 65 by 3. 65/3 Calculate -1 divided by 59. -1/59 Calculate -3985 divided by -5. 797 Divide 4418 by 2209. 2 414 divided by -138 -3 Calculate -6792 divided by 283. -24 Calculate -2904 divided by 4. -726 16 divided by 861 16/861 What is -204 divided by -12? 17 Divide 1 by 41. 1/41 Divide 25836 by 6459. 4 -2058 divided by -343 6 Calculate -623 divided by 13. -623/13 32454 divided by -6 -5409 -892 divided by 446 -2 5 divided by 44 5/44 Calculate 66 divided by 14. 33/7 What is -5 divided by 12? -5/12 Divide 15020 by -1502. -10 Divide -395 by -5. 79 Divide 39720 by 6. 6620 Divide 6880 by 8. 860 What is -14705 divided by 5? -2941 What is -6 divided by -6? 1 187 divided by -11 -17 Calculate 10590 divided by -5. -2118 -630 divided by 18 -35 Calculate 13567 divided by -5. -13567/5 -1728 divided by 8 -216 Calculate -9 divided by 3. -3 Calculate -1809 divided by -6. 603/2 Calculate 108 divided by -28. -27/7 Divide 0 by 16. 0 Divide 1415 by 5. 283 Calculate 47460 divided by 6. 7910 What is -34 divided by -3? 34/3 Calculate -864 divided by -5. 864/5 What is -13 divided by -40? 13/40 What is 2093 divided by -13? -161 -22 divided by -6 11/3 Divide -13 by 34. -13/34 Divide 551 by 5. 551/5 Calculate -164 divided by 8. -41/2 Divide 110 by -1. -110 Divide 6 by -44. -3/22 Divide -19 by 3. -19/3 What is -5088 divided by 318? -16 What is 96 divided by -96? -1 What is -196 divided by 2? -98 1 divided by -270 -1/270 Calculate -229 divided by -7. 229/7 Calculate 5 divided by 81. 5/81 -26 divided by -4 13/2 What is -44 divided by -5? 44/5 Divide -15212 by 4. -3803 What is 2120 divided by 40? 53 Calculate 37 divided by -6. -37/6 What is 228 divided by -57? -4 -10 divided by 10 -1 1164 divided by -3 -388 4324 divided by 46 94 -1740 divided by -60 29 Divide -1 by 8. -1/8 Divide 1802 by -53. -34 What is -132 divided by -6? 22 5 divided by 3458 5/3458 Calculate -11495 divided by 5. -2299 11216 divided by 16 701 -21125 divided by -5 4225 Divide 259 by 6. 259/6 Calculate 34 divided by -539. -34/539 What is 5559 divided by -109? -51 Calculate 2 divided by 386. 1/193 Calculate -2478 divided by 177. -14 -1 divided by 6 -1/6 Divide 204 by -51. -4 Calculate -4032 divided by 4. -1008 Divide 2034 by -3. -678 Calculate 5788 divided by 1. 5788 What is 4368 divided by 6? 728 3436 divided by -2 -1718 Divide 70 by -14. -5 What is 0 divided by 2969? 0 -570 divided by 6 -95 What is -5 divided by 1832? -5/1832 What is -312 divided by -6? 52 -36 divided by 17 -36/17 -756 divided by 14 -54 Calculate -1 divided by -27. 1/27 Divide -11 by 53. -11/53 4685 divided by 937 5 Divide -15400 by -1400. 11 -896 divided by -32 28 Divide -3834 by -639. 6 Calculate -604 divided by 5. -604/5 What is 1465 divided by -293? -5 Calculate -27768 divided by -2136. 13 5 divided by 1719 5/1719 Divide 0 by -575. 0 Divide -2 by 1348. -1/674 Calculate -146 divided by 41. -146/41 What is 52 divided by 26? 2 Divide -9688 by -346. 28 What is 432 divided by -4? -108 What is -432 divided by -6? 72 Divide 4 by 83. 4/83 What is -803 divided by -6? 803/6 -3035 divided by 5 -607 Divide -590 by -2. 295 Calculate 213 divided by -1. -213 What is 12836 divided by -2? -6418 What is 1073 divided by 1? 1073 Calculate -4 divided by -21. 4/21 What is -40 divided by -2? 20 Calculate 0 divided by -58. 0 What is -4455 divided by -1? 4455 What is -1162 divided by -1? 1162 -4 divided by 206 -2/103 Divide -57 by -3. 19 Calculate -111 divided by -1. 111 What is 3528 divided by 6? 588 Divide 18269 by 4. 18269/4 What is -395 divided by 79? -5 Divide 318 by 2. 159 -61 divided by 8 -61/8 -655 divided by 3 -655/3 -26 divided by 4 -13/2 Calculate -7658 divided by -1094. 7 -1656 divided by -3 552 What is 3 divided by -317? -3/317 264 divided by 4 66 Calculate 160 divided by 36. 40/9 Calculate -21 divided by 21. -1 Divide 170 by 8. 85/4 -680 divided by -5 136 1456 divided by 364 4 What is 1726 divided by -1726? -1 -96 divided by -106 48/53 What is 4 divided by -57? -4/57 Divide -20 by 318. -10/159 Calculate 14 divided by 442. 7/221 Calculate -3456 divided by -108. 32 -26 divided by 2 -13 Divide -7 by 64. -7/64 What is -2597 divided by -5? 2597/5 Calculate 30420 divided by 4. 7605 Calculate -7 divided by -24. 7/24 -217 divided by -26 217/26 5211 divided by 193 27 What is -4 divided by -2342? 2/1171 Calculate 49 divided by 7. 7 Divide -272 by -3. 272/3 What is -810 divided by 405? -2 Divide 3 by -9. -1/3 0 divided by 284 0 What is -144 divided by -8? 18 -6 divided by 107 -6/107 What is 4 divided by -30? -2/15 What is 107 divided by -2? -107/2 25 divided by -5 -5 Divide -28 by -28. 1 Divide 5 by -54. -5/54 -926 divided by 1 -926 33088 divided by -4 -8272 Divide 1343 by 17. 79 Divide -2 by 131. -2/131 Calculate 674 divided by -2. -337 Divide -4562 by 2. -2281 Calculate 2278 divided by 1. 2278 What is -9296 divided by 7? -1328 What is 2 divided by -264? -1/132 Calculate -11 divided by -1789. 11/1789 Calculate -140 divided by 3. -140/3 What is -418 divided by 209? -2 1813 divided by 7 259 Divide -874 by -38. 23 Divide 96 by -32. -3 5 divided by 1701 5/1701 Calculate -21 divided by 87. -7/29 -21234 divided by 6 -3539 -1 divided by 69 -1/69 Calculate -662 divided by -7. 662/7 What is -36 divided by 1? -36 Divide -14 by -242. 7/121 What is -3213 divided by 1? -3213 What is -44 divided by 11? -4 Divide -852 by 284. -3 What is -358 divided by 6? -179/3 What is -280 divided by 70? -4 Calculate 5 divided by -1927. -5/1927 Divide -25050 by -6. 4175 Calculate 18 divided by 8. 9/4 -267 divided by -6 89/2 Calculate -369 divided by -41. 9 Divide -430 by -43. 10 Divide 1381 by 15. 1381/15 Divide 170 by 85. 2 What is -2495 divided by 4? -2495/4 -5 divided by 3550 -1/710 Calculate 5 divided by 616. 5/616 Divide -1764 by -49. 36 3882 divided by -4 -1941/2 Divide -14275 by -2855. 5 Divide 204 by -2. -102 Divide 4433 by 1. 4433 6680 divided by -167 -40 Divide -43467 by 3. -14489 What is 3 divided by 2? 3/2 What is 1638 divided by 7? 234 824 divided by -4 -206 2730 divided by -546 -5 Divide 95 by 5. 19 -8 divided by 5 -8/5 What is 249 divided by -83? -3 What is 0 divided by -11? 0 Calculate -2912 divided by -4. 728 -341 divided by 15 -341/15 Divide 42768 by 6. 7128 5235 divid
{ "pile_set_name": "DM Mathematics" }
(9 + -1 - (-3 - -22)) + -8? -19 What is the value of 1 + -5 - (-76 - (-121 - 0))? -49 Evaluate (-14 + 21 - -12) + 26. 45 What is the value of 0 - 23 - (0 - -2) - (-50 + 126 - 64)? -37 What is the value of 8 + -46 - (-21 + 31 + -23 + 11 + -14)? -22 Evaluate 3 - ((11 - 3) + -15 + -2 + 4 - -4). 4 What is the value of 24 - 30 - (10 - 4) - (3 + 4 + -106)? 87 Calculate -22 + -12 + 32 + 19 + -20. -3 What is (9 - 1) + (-3 + -19 - (-27 - (31 - -15)))? 59 What is the value of -1 - -3 - -3 - (-2 - (11 + -21))? -3 Evaluate -17 - (2 + -4) - (-14136 - -14174). -53 -32 + -17 + (-4 - (-2 - (-21 + (6 - -2)))) -64 Evaluate -31 + (-747 + 786 - (1 + -6)). 13 What is the value of (-14 - (-7 - 1 - (-37 + 17))) + -6? -32 Calculate (6 - -15) + -10 + 16 + -15 + -3 + 130. 139 What is the value of (29 - -1) + (-53 - (-93 + 45))? 25 What is (59 - (34 + -31)) + 2 + 8 + -1 + -4? 61 What is the value of 93 + 10 + -46 - 42? 15 What is the value of 72 + (-2 - -8) + -1578 + 1585? 85 Evaluate 10 - (-24 - (1 + 4 + (-11 - (-6 + -5)))). 39 What is 66 + -177 - 30 - -81? -60 What is the value of -12 + -11 + (6 - -1 - 12)? -28 -5 - (-9 - -23 - (-2 - -23)) 2 What is the value of -68 - (-1 + (-64 - 5))? 2 -6 - (151 + -105 + -21 - (0 - (-1 - 7))) -23 What is the value of 15 + (0 - (-12 + 15)) - 58? -46 Calculate (2 - 15 - -4) + (659 - 636). 14 Calculate (68 - 21) + 113 - 89. 71 Calculate 19 - (-12 + -13 + 16 + 5). 23 -64 + (5 - -175) + -7 109 What is the value of -24 + (-168 - -159 - (1 - -13))? -47 75 - 35 - 63 - -25 2 Evaluate (-93 - 2) + 32 + -124 + 100. -87 What is the value of 54 - 27 - (66 + -68) - -67? 96 94 + 108 + -29 - 86 87 What is the value of -34 + 43 + -10 + (8 - -10 - 0)? 17 Calculate (-5 - (3 - 7)) + (-2 - -22) + 4. 23 -25 + (62 - 23) + -15 - ((0 - -1) + 26) -28 (35 - (9 + 17)) + -35 -26 -6 - 2 - (-1628 + 1567) 53 Evaluate -55 - ((-62 - -73) + -4). -62 What is -2 - (9 + (19 - (29 - 21)) + (1 - 87))? 64 Evaluate -52 - (-51 - -75 - 63). -13 5 + -5 + (-55 - -6) + 12 -37 What is -1033 - -1128 - (3 + 9)? 83 Calculate -20 + 34 - 25 - (2 + -4 + 1) - 40. -50 What is -15 + 35 + (91 - (8 - 3)) + -18? 88 -33 + (-104 - -3) - -77 -57 Evaluate 17 + (-2 - -5 - 18) + -222 + 233. 13 Calculate 89 + -11 - 107 - -84. 55 Calculate (-6 + -3 - (-79 - (-1 - (5 - 4)))) + 9. 77 What is the value of (127 - 112 - (-3 - -10)) + (1 - -38) + 6? 53 Calculate 3 + 50 + -8 - (539 - 525). 31 Evaluate 12 + -5 - (-5 + 0 + -39 + 43) - -4. 12 -1 - (61 - 138 - -29) 47 2 - (2 + -5) - 39 - (-36 + (7 - -19)) -24 Evaluate -37 + (-33 - -16) - -45. -9 Evaluate -7 - (127 + (-40 - 37)). -57 15 + -18 + 20 - (-95 + 120) -8 What is the value of -14 - (-61 + -86 + 5)? 128 Evaluate (-5 - -6) + (1 - 4) + (55 + -64 - 46). -57 What is 118 - (26 + 21) - 59? 12 Evaluate 67 - ((1 - 10) + 52 + -21). 45 Evaluate 2 - -42 - ((7 - -19 - 10) + 25 + -51). 54 What is -133 + (96 + -22 - -7)? -52 Calculate 20 + 17 + 10 + -62. -15 Calculate (-27 - (-29 - -11)) + (2 + 1 - -28). 22 What is 64 - (145 - (5 - -138))? 62 (24 - 2) + (1032 - 1050) 4 Calculate -1 + 21 + (21 - (32 + 0)) - -25. 34 What is 6 - 79 - -185 - 46? 66 Evaluate 1878 + -1833 - (34 - 0). 11 Calculate 1 - 18 - ((8 - 12) + 2 - -32). -47 Calculate 135 + 1 - (-7883 - -7987). 32 59 - (-65 + 119 - -17) -12 What is the value of -9 - 3 - (-106 + 278 - 73)? -111 Evaluate -13 - ((-39 - (15 - 9)) + (-1 - 4)). 37 -6 - -32 - (-481 + 533) -26 What is (-51 - -52) + -30 - 21? -50 Evaluate -7 + (-2 - (33 + -17 - 39)). 14 What is (-33 - (-100 + 28)) + (-1 - -3 - 7)? 34 Evaluate 49 - ((-14 - -24) + -2 + 9). 32 Calculate -183 - (-12 + 10 - -25 - 71). -135 What is -798 - -802 - (-4 - (4 + 9 + (-2 - 0)))? 19 Evaluate -43 + 160 - (5 + -2 + -13 - (10 - 9)). 128 What is -46 + -19 + 4 + -14 + 22 + -9? -62 Calculate -1 - -34 - (-16 - (-54 - (22 + -54))). 27 What is (-28 - -10) + (-26 - (-6 + -12)) + 153? 127 What is the value of -15 - (29 + (-13 - -18 - 18))? -31 What is the value of (-5 - 32) + 40 + -21 + -2? -20 Evaluate -37 - (2 - 1) - (-24596 - -24635). -77 Evaluate 14 + 7 + (-9 - (4 - 20)) + -5. 23 -59 + 171 + (29 - 104) 37 What is (2 - 2) + -4 + 26 + 6 - (12 - 3)? 19 What is the value of (-8 - (-113 - -51)) + -34? 20 Calculate -145 + 81 + -66 + 104. -26 What is the value of 77 - (58 + -44 + 64)? -1 72 + -91 + (-78 - -156) 59 What is 102 + -105 - (-13 + -5 + 0)? 15 What is the value of 15 - (50 + -35 - (4 - -48))? 52 What is the value of (18 - 1) + (17 - 30 - -106) + 2? 112 What is 146 + -149 - -147 - 2? 142 32 + -35 + -5 + -27 -35 What is 64 - 111 - (-13 - 14)? -20 What is 38 + (0 - (-4 - -2) - (6 - -7))? 27 -3 - (-10 - ((-3 - -3) + (5 - 9))) 3 (10 - (-2 - (-3 + -95))) + (-14 - (20 + -37)) -83 What is the value of 281 + -259 - (-3 + -1 + 27 + 4)? -5 Evaluate 125 - 79 - (-1 + 6). 41 What is the value of 34 + (-125 - 11) + 57? -45 What is the value of (16 - 2) + (-338 - -338) + 17 + -2? 29 Calculate 520 + -709 - (-15 - 149). -25 Evaluate -2634 + 2643 + 0 + -2 + 3 + 12 + 2. 24 What is the value of 30 + (23 - (4 + 12 + -8) - 3)? 42 Calculate (-93 + 61 - 62) + (4 + (6 - 5) - 14). -103 Calculate -60 - ((-29 - -52) + -31 + 35). -87 What is the value of 21 - (30 - -6) - (-1 - (-4 + 2))? -16 63 + (45 - (36 + 22)) 50 What is the value of 2 - 8 - (35 + -95 + 44) - -6? 16 What is (-30 - -17) + -6 + -1 - (-2 + -2 - -2)? -18 Evaluate (42 - 74 - ((-2 - 0) + 0)) + 6. -24 Calculate (-15 - 0) + -16 + -8 + 20 + 13. -6 Evaluate -237 + 107 + 94 + 16. -20 (-1 - 42) + (134 - 349 - -192) -66 What is (-14 + (1 - -3) + 1 - -4) + -15? -20 What is the value of 51 - (-5 + 50) - -27? 33 What is 45 - 79 - (165 - 223)? 24 What is -60 + -25 + 84 - (2 + 20)? -23 Calculate 218 + -241 + (47 - 12). 12 10 + 1 + (-391 + 436 - (6 - (5 - 3))) 52 What is the value of -17 + 83 + (224 - 205)? 85 Evaluate 2 + 131 + (-2642 - -2595). 86 Evaluate 0 + -1 - -53 - (6 - -19 - (17 - 0)). 44 Evaluate -37 - (15 + 0 + 60 + -30). -82 What is the value of 10 + -30 - -3 - -3 - -12 - 37? -39 Calculate -68 + (181 - -45) + -100. 58 Calculate (6 - -7) + -35 + (127 - (5 + 0)). 100 What is the value of (43 - -2) + (9 - -6) - 22? 38 What is the value of (-32 - (28 - 53)) + -4? -11 5 + (1 + 12 - (140 + -109)) -13 Calculate (17 - 17 - -51) + (-4 - (-1 + 5)) + 1. 44 -11 + 3 + (-101 - (15 + -18 + 20)) -126 What is 14 - (-8 + (0 - -10) + -12 - 9)? 33 (44 - 11) + 0 - (12 - 2 - 8) 31 What is -114 + -63 + 98 + 52? -27 What is the value of -83 - (-203 + 29) - 98? -7 Evaluate (212 - 265 - (-13 - 0)) + -4. -44 (-32 + 12 - 4) + (0 - -12) + 3 -9 -84 - 14 - (-3 - ((10 - 7) + -10 - -4)) -98 Evaluate -1 + 12 + (-4 - (-7 + 3) - 7). 4 Evaluate (21 + -1 - (7 - -28)) + (-13 - (-1 + 0)). -27 What is (34 - -5) + -76 - 4? -41 Evaluate -3 + 12 + -3 + (54 - 66) - 7. -13 Calculate 63 + -27 + 14 + (-15 - -31). 66 Calculate -8 - (-89 - (-87 - 17)). -23 Calculate 11 - -3 - 89 - (6 - 10 - 10). -61 (-8 - (20 - 10 - -6)) + 26 + -34 -32 Evaluate 1 + (3 - 28 - (-8 + -14)) + -14. -16 What is the value of (-20 - (-16 - -36)) + -14 + 5 + 5? -44 Evaluate -203 + (374 + -119 - 162). -110 (2 - 33) + -75 + (79 - 33) -60 Calculate -99 + 94 - (11 + -9) - -25 - (1 + 0). 17 What is -5 + 19 + 0 + (51 - 142) - -15? -62 Evaluate -20 + (10 - (-14 - 0)) - -53. 57 Calculate -25 + (-10 - (-29 + 14)) + 1 + 22. 3 Evaluate (-1 - -44) + 20 + -14 + (1 - 13) + 4. 41 What is (3 - (0 - -2)) + -11 + (290 - 299)? -19 -19 + (-2 - ((7 - 34) + 6 + 8)) -8 What is the value of (70 - -85) + (-14 - -2)? 143 Evaluate -25 + -11 + 21 + -2. -17 2 + 8 + (6 - (14 + 34)) -32 28 + -42 + -23 + 13 -24 What is the value of 7 - (17 + -6 + -7 - (-7 - (3 + -4)))? -3 What is -6 + 2 - (32 + 18 - 41 - (6 + 0))? -7 What is (11797 - 11805) + (-3 - (0 - (-2 - -3))) + 9? -1 Calculate 44 + (19 - 38) - 13 - (0 - -21). -9 ((9 - -12) + -32 - -45) + -15 19 Evaluate -54 + 13 - (-8 - 6 - (-13 - -8)). -32 What is the value of 70 + (-47 - -49) - 60? 12 142 + -101 + 40 + -5 76 What is (-131 - -4) + (-8 + (21 - -4) - -2) + -17? -125 Calculate (-101 - (-101 - 6)) + (-2 - (2 + 1)). 1 -18 + 3 + 2 - (-6 - -32 - -49) -88 Evaluate -2 + -2 - (-763 + 784). -25 (-6 - 5) + 20 + -31 + 43 21 Calculate -61 + -1 + 5 + (-32 - (-41 + 10)). -58 Evaluate -33 + 88 + (31 - 35). 51 (-14 - -4 - 3) + (794 - 811) + (0 - -118) 88 What is -5 + -4 + 2 + -1537 + 1560? 16 Calculate (-4
{ "pile_set_name": "DM Mathematics" }
prob of sequence gg when two letters picked without replacement from oooggoooooggguggugg? 4/19 Two letters picked without replacement from {v: 3, q: 13}. Give prob of sequence vv. 1/40 Two letters picked without replacement from ccbfb. Give prob of sequence bc. 1/5 What is prob of sequence rar when three letters picked without replacement from zrjzzzjzzjhza? 0 Three letters picked without replacement from {x: 8, w: 5}. What is prob of sequence xxw? 70/429 What is prob of sequence ggv when three letters picked without replacement from {n: 1, v: 4, g: 2}? 4/105 Calculate prob of sequence nti when three letters picked without replacement from {m: 8, n: 5, t: 4, i: 1}. 5/1224 Two letters picked without replacement from cnllmckqq. What is prob of sequence nm? 1/72 Calculate prob of sequence ktt when three letters picked without replacement from {t: 9, k: 2}. 8/55 Four letters picked without replacement from hahhhhahahhahahh. Give prob of sequence hhha. 165/1456 Three letters picked without replacement from {j: 3, v: 2, b: 8, y: 6}. Give prob of sequence jvj. 2/969 What is prob of sequence mml when three letters picked without replacement from lymmmllcmlylc? 5/143 Calculate prob of sequence nn when two letters picked without replacement from rnnlrrlrr. 1/36 Calculate prob of sequence iue when three letters picked without replacement from {y: 1, u: 1, n: 1, e: 1, i: 1}. 1/60 What is prob of sequence axxa when four letters picked without replacement from {a: 3, x: 5}? 1/14 What is prob of sequence mydc when four letters picked without replacement from mncdnydnndyc? 1/990 Calculate prob of sequence ioot when four letters picked without replacement from mmmiitoiwwigmotmm. 1/3570 What is prob of sequence mmrq when four letters picked without replacement from mmmrmmrrrqm? 1/66 Two letters picked without replacement from bvk. What is prob of sequence bk? 1/6 Four letters picked without replacement from {w: 5, y: 3, p: 7, e: 4}. What is prob of sequence ewyy? 5/3876 Calculate prob of sequence xxxl when four letters picked without replacement from {l: 4, x: 7}. 7/66 Two letters picked without replacement from evuuf. Give prob of sequence fu. 1/10 Two letters picked without replacement from ukz. What is prob of sequence zz? 0 Four letters picked without replacement from yyyyyyoyyyooyy. What is prob of sequence oyoy? 5/182 Three letters picked without replacement from hhhhh. What is prob of sequence hhh? 1 Two letters picked without replacement from xxxxxxoo. Give prob of sequence oo. 1/28 Calculate prob of sequence cac when three letters picked without replacement from {b: 1, z: 1, c: 2, t: 1, l: 2, a: 1}. 1/168 Two letters picked without replacement from {d: 2, n: 1, f: 1, s: 1, b: 1, l: 1}. Give prob of sequence fb. 1/42 Three letters picked without replacement from wgwciwwccwmwwwgwwc. What is prob of sequence mmg? 0 Four letters picked without replacement from nffmmfnnfnmkfmnmmmm. What is prob of sequence mmfk? 35/11628 Four letters picked without replacement from gwgoggggwwgwww. What is prob of sequence ggow? 3/286 Two letters picked without replacement from nehprce. Give prob of sequence eh. 1/21 Four letters picked without replacement from ssslwwlsswwsssslsls. Give prob of sequence swww. 11/3876 What is prob of sequence nww when three letters picked without replacement from nwwwwn? 1/5 What is prob of sequence rs when two letters picked without replacement from rpjjjdsseeee? 1/66 Four letters picked without replacement from hyyhhhhy. What is prob of sequence yyhh? 1/14 Two letters picked without replacement from wttnwwwwwwwwn. What is prob of sequence nn? 1/78 Three letters picked without replacement from nqqnnq. What is prob of sequence nqn? 3/20 What is prob of sequence ee when two letters picked without replacement from {c: 12, e: 3}? 1/35 Two letters picked without replacement from {e: 2, r: 3, s: 1, t: 5, q: 1}. Give prob of sequence er. 1/22 What is prob of sequence gv when two letters picked without replacement from vsvsrsssssggcsl? 2/105 What is prob of sequence lw when two letters picked without replacement from cvwvlpwpww? 2/45 Two letters picked without replacement from apxnpnnananpnphxn. What is prob of sequence pa? 3/68 Four letters picked without replacement from {d: 3, q: 3, f: 4, b: 2, r: 1, i: 2}. Give prob of sequence irif. 1/4095 Four letters picked without replacement from {v: 9}. Give prob of sequence vvvv. 1 Calculate prob of sequence jjj when three letters picked without replacement from {j: 5, h: 9}. 5/182 What is prob of sequence np when two letters picked without replacement from {b: 2, n: 6, q: 1, k: 4, p: 1, i: 1}? 1/35 Two letters picked without replacement from itilititilt. Give prob of sequence ll. 1/55 Four letters picked without replacement from mxxonnxqxxqmxm. Give prob of sequence mxnq. 3/1001 Calculate prob of sequence sx when two letters picked without replacement from xxxssxssxxsssxxxsss. 5/19 Calculate prob of sequence jx when two letters picked without replacement from {m: 5, j: 2, y: 1, n: 3, x: 1}. 1/66 Two letters picked without replacement from {e: 5, m: 1, q: 12}. Give prob of sequence me. 5/306 What is prob of sequence quf when three letters picked without replacement from {a: 3, f: 7, u: 1, q: 1}? 7/1320 Two letters picked without replacement from {o: 7, i: 5, u: 8}. What is prob of sequence oo? 21/190 Two letters picked without replacement from aasa. What is prob of sequence as? 1/4 Three letters picked without replacement from iiiyiiiiiiiyiiiyiiii. What is prob of sequence yyy? 1/1140 What is prob of sequence sdyj when four letters picked without replacement from {d: 3, y: 1, s: 1, a: 2, j: 3}? 1/560 Two letters picked without replacement from {h: 1, k: 1, t: 1, d: 1, r: 1}. Give prob of sequence kh. 1/20 Two letters picked without replacement from oiini. Give prob of sequence io. 3/20 Three letters picked without replacement from hhthhhtrrhhr. What is prob of sequence hhh? 7/44 Calculate prob of sequence oqg when three letters picked without replacement from {e: 2, o: 1, q: 2, g: 1}. 1/60 What is prob of sequence xxix when four letters picked without replacement from xjjxxxqqij? 1/210 Three letters picked without replacement from {o: 1, v: 2, e: 5, s: 8, j: 1, a: 3}. What is prob of sequence aov? 1/1140 Two letters picked without replacement from jyqqffjqjqqqh. Give prob of sequence fh. 1/78 Four letters picked without replacement from {j: 5, a: 3, b: 4, p: 1}. What is prob of sequence paaj? 1/572 Calculate prob of sequence mmi when three letters picked without replacement from {m: 2, a: 3, i: 4}. 1/63 What is prob of sequence aalh when four letters picked without replacement from aaaaalhllllllallah? 7/680 Calculate prob of sequence kftk when four letters picked without replacement from ktkktkktktkkkttkfkk. 11/1292 Two letters picked without replacement from bjubxemej. Give prob of sequence ex. 1/36 Four letters picked without replacement from ttat. Give prob of sequence atat. 0 Calculate prob of sequence dw when two letters picked without replacement from {w: 8, t: 4, d: 2, y: 1}. 8/105 What is prob of sequence gj when two letters picked without replacement from ggjjjjg? 2/7 Two letters picked without replacement from {w: 1, o: 2}. Give prob of sequence oo. 1/3 What is prob of sequence hh when two letters picked without replacement from {h: 10}? 1 Two letters picked without replacement from rrrmmtmdrgmrnm. Give prob of sequence gd. 1/182 What is prob of sequence mlm when three letters picked without replacement from gldmmhnggmgdmgmn? 1/168 Two letters picked without replacement from {u: 1, h: 1, p: 1, j: 1, t: 1}. Give prob of sequence tp. 1/20 Three letters picked without replacement from {k: 2, p: 3, l: 5, j: 1, r: 6}. What is prob of sequence rjl? 1/136 Calculate prob of sequence dm when two letters picked without replacement from mbdd. 1/6 Three letters picked without replacement from {z: 3, q: 8, v: 3, n: 2}. What is prob of sequence zqq? 1/20 Calculate prob of sequence xxi when three letters picked without replacement from {i: 1, x: 12}. 1/13 Three letters picked without replacement from {c: 1, f: 4, y: 5, z: 1, q: 4}. What is prob of sequence qyy? 8/273 Two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
4 Solve -2*d - 3*p + 3 = 0, 3*p + 1472 - 1496 = 5*d for d. -3 Solve 6 = 3*b + 3*i, -4*b - 2564 + 2569 = 3*i for b. -1 Solve q + x = -18 + 20, 0 = -2*x + 8 for q. -2 Solve -4*r + 2*z - 4 = 6, -r + 2*z + 5 = 0 for r. -5 Solve 4*j - 91 = 3*a, 4*j + 0*a = -2*a + 66 for j. 19 Solve -3*t = -3*y - 54, 36*t + 4*y + 67 = 39*t for t. 5 Solve 2*k + 4*b = 48, -3*b + 9 = 5*k - 34 for k. 2 Solve 5*b = -3*q - 20, q + 2*b + 18 = 11 for q. -5 Solve -2*v = -4*c + 7*c - 3, 0 = -3*c + 2*v - 9 for c. -1 Solve 3*j + 194*n - 192*n = 11, -4*n - 23 = -3*j for j. 5 Solve 3*f + 22 = -4*w, 3*f - 3236*w = -3238*w - 14 for f. -2 Solve -2*s - 829 + 837 = 3*w, 10 = -3*s + w for s. -2 Solve -5*s + 126*k - 23 = 123*k, 3*k = 19*s + 79 for s. -4 Solve b - 29 = 2*i - 8, 5*b + 4*i + 35 = 0 for b. 1 Solve 264 - 266 = -4*h - 3*x, -3*x = -h - 7 for h. -1 Solve 40*q - 42*q + 6 = 0, 3*q - 89 = 5*a for a. -16 Solve -b + 1488 = 5*h + 1505, h = -3*b - 23 for h. -2 Solve 5*v - 21*j - 35 = -11*j, 28 = 6*v + 2*j for v. 5 Solve 3*n = -4*l - 23, -5*l + 4*n - 99 = -109 for l. -2 Solve -86*z + 80*z + 3 = -3*d, -d - 2*z = 1 for d. -1 Solve 3*z = -8*p + 4*p - 3, -4 = -3*p - z for p. 3 Solve 58*p + 55 = -10*t + 63*p, -4*t - 4*p + 20 = 0 for t. -2 Solve 2*m + 2*t = 0, 22 = -3*m + 2*t - 3 for m. -5 Solve 84*l - 3*a - 10 = 82*l, a = -2*l + 18 for l. 8 Solve -3*h + 6*z - 37 = -91, 42 = -h - 4*z for h. -2 Solve i = 5*s + 8, 64*s = 68*s + 4*i + 16 for s. -2 Solve 3*m + 12 = -7*y, 172*m = 169*m - 4*y - 3 for m. 3 Solve 4*j - 3 = j, -12*y - 8 = -11*y - 4*j for y. -4 Solve 29*t - 28*t - 17 = -4*k, 4*k - 4*t = 32 for k. 5 Solve -12*w - 64 = -8*w - 2*s, -112 = 7*w - 5*s for w. -16 Solve -5 = -4*k - 4*b + 11, -6*b + 24 = -2*k for k. 0 Solve 5*c + 88 = g, 33 = 2*g - 3*c - 17 for g. -2 Solve 0 = 4*k - 4, 0 = d - 0*d - 2*k + 6 for d. -4 Solve 19 = -5*w + 4*x, 0 = x - 17602 + 17601 for w. -3 Solve -76 = 3*o + 4*c - 60, -c = 1 for o. -4 Solve -38 = -2*g - 0*t + 2*t, -4*g = 2*t + 14 for g. 4 Solve -441*d - 4 = -439*d + 2*h, -h + 1 = 2*d for d. 3 Solve -5*h + 4*o - 28 = -2, 2*h = 2*o - 10 for h. -6 Solve 0 = 3*f - q - 7 + 18, q + 17 = 15*f + 76 for f. -4 Solve -3*b + 5*i - 11 = 0, 5*b - 33*i + 34*i - 19 = 0 for b. 3 Solve -2*j = -3*l + 3, 338*l - 333*l - 2*j - 5 = 0 for l. 1 Solve -4*c = 2*m + 10, m + 4*m - 52 = c - 55 for c. -2 Solve -367*h + 3 = -3*c - 365*h, -1 = 4*c - 2*h + 1 for c. 1 Solve -96*y + 95*y + 15 = -5*w + 1, y - 6 = 3*w for w. -4 Solve -43 + 54 = -g - 4*m, 5*m = -3*g - 12 for g. 1 Solve -2*q + 42 = -17*p - 41, -12 = 3*p - 3*q for p. -5 Solve -5*n = 3*z - 49, 11 = 5*n + 5*z - 34 for n. 11 Solve 11*c + 107 = -5*i, 26 = 5*i + 3*c + 157 for i. -28 Solve 0 = 5*q + 2*h + 6, -q = 271*h - 275*h - 12 for q. 0 Solve -4*i = 5*x - 16, -11 = -4*x + 6*i - 11*i for x. 4 Solve -6*z + s = 16, -5*s + 15 = -3*z - 11 for z. -2 Solve -6228*s + 3*u + u + 12 = -6224*s, 4 = -u for s. -1 Solve -5*q = -4*i + 37, 2*i + 2*q = -19*q - 99 for i. 3 Solve -i - 14*d = 24, 28*d - 14 = -3*i + 29*d for i. 4 Solve -3*z - 3*x = -3, 5*z + 5*x = 3*z + 17 for z. -4 Solve -5*q = 5*j - 20, 0 = -4*q + 4*j + 549 - 573 for q. -1 Solve 64*b - 15*w - 15 = 64*b, 4*b + 9 = -5*w for b. -1 Solve -4*t + 3*i + 26 = 0, 233*t = 238*t - 2*i - 29 for t. 5 Solve -15*w = 5*v - 10*w - 10, -6 = -5*v - 3*w for v. 0 Solve 5*a - 15 = -10*z + 15*z, 0 = 12*z - 3*a + 18 for z. -1 Solve -371*t = -370*t + 3*x + 4, -6*x - 28 = -2*t for t. 5 Solve 6 = -2*p - 2*z, -10*p - 4*z + 1326 = 1326 for p. 2 Solve -3*g - 5*f - 13 = 0, 3*g + 33 = f + 32 for g. -1 Solve -3*a - 78 = 4*p, -5*p - 135 = -6276*a + 6281*a for a. -30 Solve -26*b - 20 = -25*b + u, -5*b + 5*u = 60 for b. -16 Solve -4*v + 31 = -3*u + 5, -4*u - 13 = -v for v. 5 Solve u = -5, -6277*u + 6273*u = 5*i - 6 + 21 for i. 1 Solve 80*y - 5*c = 75*y + 20, 2*c + 2 = -4*y for y. 1 Solve 3*h = -6, -5*y + 34*h = 32*h + 21 for y. -5 Solve -z - 5*h = -34, -3948*h = 2*z - 3943*h - 38 for z. 4 Solve 27650*t - 1 = s + 27652*t, 3*s + 7 = -2*t for s. -3 Solve -5*o + 28673*x - 14 = 28670*x, 4*x = 5*o + 17 for o. -1 Solve l - 4*z = 93 - 109, z = 5 for l. 4 Solve 2*d + 3 = 3*g, 17*d = -2*g - 632 + 634 for d. 0 Solve 18*n - 15*n = 0, -3*z - z - n = -5*z - 5 for z. -5 Solve -4*m + 8 = p, -4*m - 15 = 2*p - 23 for m. 2 Solve -558 + 560 = -3*p - h, 3*p + 18 = 3*h for p. -2 Solve -5*l = -4*f + 18, 213*f + 5*l + 16 = 216*f for f. 2 Solve -5*g - 6*w - 13 = -4*w, -2*g + 5*w + 18 = 0 for g. -1 Solve -2*t + 19 = -31*n + 34*n, 0 = -2*n + 3*t + 4 for n. 5 Solve 2 = 2*w - 5*u, -8*u + 3*u = 4*w + 26 for w. -4 Solve b + 2 = h - 2, -9 = -h + 4*h for b. -7 Solve -3*v - 5*p + 41 - 14 = 0, 4*p - 23 = -v for v. -1 Solve -4*j + 12 = 0, -22*s + 27*s - j + 25 = 3*s for s. -11 Solve f = -3*r - 61, 0 = 26*f - 56*r + 58*r + 66 for f. -1 Solve 11 = -4*b + y, 26052 = b + 4*y + 26059 for b. -3 Solve -2*c = 205610*i - 205612*i - 6, 5*c - 2*i = 9 for c. 1 Solve -q + 21 = -3*z, -12 = q - 21 for z. -4 Solve 9*t = 7*t - 7*i + 27, -3*t = 2*i + 2 for t. -4 Solve -6*p - 30 + 36 = 3*u, -3*u + 5 = 5*p for p. 1 Solve 0 = -6*j + 6, -395*q + 391*q = 5*j - 21 for q. 4 Solve -5*x + 40 = 0, 151*x - 155*x + 32 = 7*j for j. 0 Solve 154*n - 10 = 2*i + 156*n, -2*i + n = 10 for i. -5 Solve -22*v + 20*v + g = 18, 4*v + g = -6 for v. -4 Solve -4*m = 7*n + 43, -5*m = -n - 747 + 752 for n. -5 Solve 4*y = -5*u - 26, -740*y + 744*y - 4*u = -44 for y. -9 Solve -15 = 5*k + 2*c, 1305*c + 40 = -3*k + 1310*c for k. -5 Solve 5*o + 4*t = -23, -459*t = -3*o - 455*t - 1 for o. -3 Solve -2*c + s = -2, 288*c - 145*c - 146*c + 18 = 6*s for c. 2 Solve -1051 = a + 2*x - 1057, 0 = 4*x + 2*x - 12 for a. 2 Solve -290*o - 6 = -v - 141*o - 141*o, -3*v + 2*o - 4 = 0 for v. -2 Solve -4*t = z + 26, -2*z = -5*t - 1917566 + 1917553 for t. -5 Solve c = 2*f - 31 + 23, 16 = 4*f - 4*c for f. 4 Solve -105*v + 328 = -101*v + 77*q, -2 = 2*v - 3*q for v. 5 Solve -2*p = -5*l - 14, 171*l = -3*p + 169*l + 59 for p. 17 Solve 16*b + 4*q - 64 = 20*b, 3*b + 2*q = 22 for b. -2 Solve 0 = 5*a - 9*v - 82, 2*a - v + 19 = 57 for a. 20 Solve 9 = f + 5*c, -c - 104 = -106 for f. -1 Solve -2*j - 8 = 4*s, -2*j = -7*j - 1086 + 1106 for s. -4 Solve 3*k - 92 + 89 = 2*j, 0 = 2*j + 6 for k. -1 Solve 20*t - 23*t = -g - 23, -5*g = 2*t - 4 for g. -2 Solve 0 = -4*n + 3*h, -64*h = -2*n - 65*h for n. 0 Solve -3*v - x = 53, -126 = 5*v + 2*x - 37 for v. -17 Solve -2*u - 462*b + 463*b = -14, -10*b - 68 = -2*u for u. 4 Solve 45 = -5*o - 4*l, -10 = 653*o - 652*o + l for o. -5 Solve 4*u - 5 = -4*a - 21, 3*u + 2*a + 10 = 0 for u. -2 Solve -3*k - 20 = 5*q, 2*q - 208 + 215 = -k for q. -1 Solve -k - 10 = 11*m - 6*m, -k = k for m. -2 Solve c + 39 = 261*b - 522*b + 266*b, -9 = -b - c for b. 8 Solve -x + 44*r - 46*r + 6 = 0, -7 = -2*x - 3*r for x. -4 Solve 0 = -5*c + 29 - 9, -c = t - 6 for t. 2 Solve 27 = 2*c - 4*b + 25, 3*c - 43 = -2*b for c. 11 Solve 5*f - 4*d = 32, 0 = 28*f - 8*f - 14*f + 2*d - 18 for f. 4 Solve 4*j = -x - 1, -16 = 3*x + 4*j - 13 for x. -1 Solve 98*w - 15 = 94*w + 3*t, -w - 25 = 5*t for w. 0 Solve 4*p + 16 = a, 17 = -5*p - 385*a + 387*a for p. -5 Solve 5*u + 4*d - 38 = 0, 0 = 3*u + 5*d + 9 - 50 for u. 2 Solve -5*n + 2*p = -0*p + 18, 0 = 2344*p - 2342*p - 18 for n. 0 Solve 35 = -24818*s + 24821*s - 4*d, -25 = 5*d for s. 5 Solve -2*g - 8*l + 34 = 0, -3*g + 14 - 3 = 2*l for g. 1 Solve -5*d + 5*w + 45 = 0, -733*w = -3*d - 734*w + 11 for d. 5 Solve -w - 4 + 29 = -4*t, -284*w + 5*t + 40 = -281*w for w. 5 Solve -2*v - 12*u = -16*u + 12, -4*v - 8*u - 56 = 0 for v. -10 Solve 12 = 5*f + 4*m, -3*m + 8 = -5*f - 1 for f. 0 Solve 10*o + 5 = 8*o + 3*j, 17 = -5*o + 3*j for o. -4 Solve 0 = -2*a - 237*m + 242*m + 28, 2*a + 4 = -3*m for a. 4 Solve 4*i - 73*z + 72*z - 5 = 0, 2*i + 2 = -4*z for i. 1 Solve -3*b - 6 = -3*h, 0 = -3*b - 4*h - 98 + 78 for b. -4 Solve -m + 18 = 14*i - 13*i, -60 = -4*i for m. 3 Solve x - 298 = 16*j - 227, 3*x = 3*j - 12 for x. -9 Solve 0 = -j - 25777*o + 25780*o + 35, -3*o = -3*j + 45 for j. 5 Solve 650*s = -3*p + 655*s - 19, -8*p + 41 = 5*s for p. 2 Solve -94*a + 89*a = 3*g + 45, -5*a - 2*g - 30 = 0 for a. 0 Solve -1000 = 4*i + 2*c - 990, -5*i + 3*c - 18 = 0 for i. -3 Solve 5*n - 5*m = -40, -3*n - n + 241 = -m + 264 for n. -5 Solve -m - 6 = -2*l, 5*m + 2*l - 443 + 461 = 0 for m. -4 Solve -88*b - 16 = -92*b - 4*f, -6 = 3*b - 3*f for
{ "pile_set_name": "DM Mathematics" }
101001111111100 + -100? 1101001111111000 In base 14, what is 477323 + 2? 477325 In base 7, what is -465511 + 41? -465440 In base 3, what is -22111211000 + -1? -22111211001 In base 6, what is 141 - -2153? 2334 In base 9, what is -27 + 28527? 28500 In base 9, what is -561 + 631? 60 In base 11, what is -39942 + 54? -39899 In base 16, what is -1 - 19536? -19537 In base 16, what is 0 + -8c3f? -8c3f In base 12, what is -20508 + -26? -20532 In base 7, what is -43311031 + 5? -43311023 In base 11, what is 24 + -104746? -104722 In base 2, what is 11010010011101010 - 11? 11010010011100111 In base 14, what is 1a3907 - -4? 1a390b In base 4, what is 230221 + 11120? 302001 In base 9, what is 33008 - -76? 33085 In base 14, what is -976 - -26? -950 In base 15, what is 56 + e01? e57 In base 13, what is -4 - c4a1? -c4a5 In base 8, what is -144277 + -6? -144305 In base 15, what is -4d05d + 5? -4d058 In base 3, what is 200012 + -122201? 111 In base 15, what is -ae3ba - 3? -ae3bd In base 8, what is -137770 + -14? -140004 In base 15, what is a8 - 75b? -6a3 In base 4, what is 3 - -11330? 11333 In base 4, what is 1021301 - 123? 1021112 In base 6, what is 0 - 2220312? -2220312 In base 4, what is -1000 - 3103? -10103 In base 15, what is 2a - 1b256? -1b22b In base 16, what is 1 - 2aa0? -2a9f In base 3, what is -220200 + 110? -220020 In base 3, what is 20 - 1202201? -1202111 In base 9, what is 1 - 1434888? -1434887 In base 16, what is -1ea + d1? -119 In base 12, what is 3 + 19a880? 19a883 In base 14, what is 86 - 9d2? -94a In base 14, what is 3 + -9588? -9585 In base 15, what is 2 + 3a40? 3a42 In base 3, what is 20 - 10212111122? -10212111102 In base 2, what is 1011000011100100101 - -10? 1011000011100100111 In base 13, what is 1ca5 + -1? 1ca4 In base 3, what is 2021212 - -202? 2022121 In base 13, what is 11585 - 4? 11581 In base 10, what is -12191 + -20? -12211 In base 6, what is -252412 - 22? -252434 In base 11, what is 1794 + -11? 1783 In base 11, what is -7768 + -51? -7809 In base 15, what is 86a + 5? 870 In base 4, what is 2 + -11312332? -11312330 In base 16, what is -1c37 + -4? -1c3b In base 8, what is 114702 + 4? 114706 In base 12, what is 14876 + 2? 14878 In base 9, what is -3 + 1261? 1257 In base 10, what is 8 - 7383? -7375 In base 16, what is -b - -24015? 2400a In base 4, what is -13 - -1101231000? 1101230321 In base 11, what is 2a3 - 755? -462 In base 16, what is -295a + 4? -2956 In base 3, what is -201001112 - 12? -201001201 In base 9, what is 5065 + -1833? 3132 In base 9, what is 3 + -14885? -14882 In base 13, what is 51b7 - -6b? 5255 In base 10, what is -39 + -10639? -10678 In base 5, what is -10 + 10312400? 10312340 In base 15, what is 18db44 + 2? 18db46 In base 16, what is -3a + 574? 53a In base 6, what is -5352544 - -1? -5352543 In base 10, what is 50612 - -4? 50616 In base 16, what is -63ba + 0? -63ba In base 10, what is -2 + 427427? 427425 In base 7, what is 234121 + 6? 234130 In base 13, what is 143 - -5689? 57cc In base 2, what is 10001 + -10000000010? -1111110001 In base 16, what is -ba8d + 7? -ba86 In base 5, what is -1110420 - 10? -1110430 In base 16, what is -a0 - -24? -7c In base 5, what is -1332 + 12300? 10413 In base 10, what is 16141 - 5? 16136 In base 13, what is 385 + -132? 253 In base 4, what is -20011032132 - 2? -20011032200 In base 6, what is 410 - 323? 43 In base 15, what is 2 + 262? 264 In base 6, what is 2 + -130422? -130420 In base 10, what is -102 + -10364? -10466 In base 10, what is 31 + -397? -366 In base 3, what is 21100222 - -1? 21101000 In base 6, what is -45 - -133511? 133422 In base 15, what is 4617 + -1db? 442b In base 2, what is -10 - -110101001111011101011? 110101001111011101001 In base 14, what is a - -433? 43d In base 10, what is 23506 - 7? 23499 In base 10, what is 9 + -46110? -46101 In base 12, what is -539a3 + -3? -539a6 In base 8, what is 5 - -61336? 61343 In base 9, what is -13518 - 25? -13544 In base 9, what is 17 - -87? 115 In base 11, what is -4a3844 + 0? -4a3844 In base 9, what is 26 + 22717? 22744 In base 7, what is 5 + 12503165? 12503203 In base 12, what is -34 + -3426? -345a In base 16, what is 20b - -680? 88b In base 3, what is 121111022001 - 12? 121111021212 In base 3, what is 12 - 100101212? -100101200 In base 12, what is 10 - 1b000? -1abb0 In base 7, what is -433221 - 1? -433222 In base 16, what is -ac7 + -2c? -af3 In base 9, what is -2 - -75? 73 In base 3, what is 1101 + 2120212120? 2120220221 In base 10, what is -8713 - 46? -8759 In base 7, what is 220 - -3661? 4211 In base 5, what is -233 + -141340? -142123 In base 10, what is -1544 - -396? -1148 In base 5, what is 34110 + -3141? 30414 In base 8, what is -334 + -746? -1302 In base 14, what is b24 - -1? b25 In base 2, what is 1100010000100000 - 1? 1100010000011111 In base 7, what is -2223166 - -5? -2223161 In base 10, what is -7 - -4340? 4333 In base 7, what is 3504 - 323? 3151 In base 6, what is -2 - 410410? -410412 In base 5, what is 34 - 23312? -23223 In base 3, what is -111 + -2220211? -2221022 In base 10, what is 29 + -26488? -26459 In base 14, what is -1630 - -3? -162b In base 3, what is 12 + 11122012? 11122101 In base 3, what is 12 - 1001200202222? -1001200202210 In base 15, what is -1546 - 2? -1548 In base 2, what is 100000010 - 11100010111? -11000010101 In base 3, what is 101111 - 20112? 10222 In base 9, what is 1710 - -1302? 3112 In base 5, what is -2 + -211044101? -211044103 In base 8, what is 22 - -13126? 13150 In base 9, what is 55 + -217784? -217728 In base 13, what is 5 + -b1b2? -b1aa In base 7, what is 30230 + -52? 30145 In base 15, what is -14455 + b? -14449 In base 10, what is 3 + 22495? 22498 In base 3, what is 2012 + 10021022? 10100111 In base 11, what is 53a - -7a4? 1233 In base 15, what is 1036 + 4d8? 151e In base 10, what is 1235 + -53? 1182 In base 6, what is -5 - 3144335? -3144344 In base 12, what is -5 + -1b7280? -1b7285 In base 10, what is 687 - 711? -24 In base 14, what is 30c632 + 1? 30c633 In base 14, what is a + 44dd? 4509 In base 6, what is 143202 + -40? 143122 In base 14, what is -1 + -90b2? -90b3 In base 9, what is -160 + -252? -422 In base 6, what is -10235 + -113? -10352 In base 10, what is -16571 - 225? -16796 In base 7, what is -5 + 1543540? 1543532 In base 14, what is 4d3 + 19? 50c In base 16, what is -313 - 145? -458 In base 6, what is -1025125 - -1? -1025124 In base 8, what is 57025 - -4? 57031 In base 3, what is -10212211 + -11212? -11001200 In base 9, what is -1025 - 72? -1107 In base 7, what is 2644 - 134? 2510 In base 15, what is 49e32 + -1? 49e31 In base 15, what is 4 - 611ca? -611c6 In base 14, what is 1 - -73bd? 73c0 In base 2, what is -1101001 - 111011111? -1001001000 In base 15, what is -9d76 - 2? -9d78 In base 7, what is -3006352 - 1? -3006353 In base 11, what is 274224 - 3? 274221 In base 16, what is 9a1ab + 4? 9a1af In base 11, what is -6011 - -6? -6006 In base 12, what is -151 - -3605? 3474 In base 9, what is -2666 + 7? -2658 In base 5, what is 4 - -2211? 2220 In base 11, what is -47 - -8? -3a In base 3, what is -120 - 1012212020? -1012212210 In base 14, what is a61 + -12? a4d In base 13, what is 2c - 1bcc7? -1bc98 In base 8, what is 11312 + -15? 11275 In base 9, what is -5 + -31586? -31602 In base 5, what is -444334 - 0? -444334 In base 8, what is 2120 - 6? 2112 In base 16, what is 4dcd - 5? 4dc8 In base 7, what is -24143 - -3? -24140 In base 11, what is -28 + -4452? -447a In base 14, what is -1 + -322? -323 In base 3, what is 2120200 - 112020? 2001110 In base 16, what is -122a + 276? -fb4 In base 7, what is 120 + 4454? 4604 In base 6, what is -441 - -45234? 44353 In base 13, what is -3 - a2924? -a2927 In base 3, what is -11 + 22111101? 22111020 In base 5, what is -11 - 20221201? -20221212 In base 6, what is -34 + 205132? 205054 In base 11, what is -9 + 33751? 33743 In base 4, what is 323 + 10300330? 10301313 In base 14, what is -10d - 5a1? -6b0 In base 11, what is 441 - -27a? 710 In base 13, what is 5 - c9013? -c900b In base 7, what is 4 - -1464414? 1464421 In base 6, what is 3 + -454352? -454345 In base 6, what is 3410 + -105? 3301 In base 5, what is -4020241 + -10? -4020301 In base 2, what is -100101100000001100110 - -11? -100101100000001100011 In base 10, what is -269 + -149? -418 In base 15,
{ "pile_set_name": "DM Mathematics" }
(c) -5 (d) 1 (e) -10 d Which is the second biggest value? (a) -5 (b) 5 (c) 1.3 (d) 9/7 c What is the third biggest value in 3, 2, -2/99? -2/99 What is the third biggest value in -2/117, 3, 0.08? -2/117 Which is the third biggest value? (a) -11/3 (b) -2 (c) -14 c Which is the fourth smallest value? (a) -0.1 (b) 0.09 (c) 0 (d) 1/3 d Which is the fourth smallest value? (a) 44 (b) 0.24 (c) 0.2 (d) -0.2 a What is the second biggest value in -17, 2, 1/5, 5? 2 What is the biggest value in 1, -1, 10? 10 What is the second smallest value in 0, -3/4, 1, -1/20, -1? -3/4 What is the smallest value in -2, -242, -0.3? -242 Which is the second smallest value? (a) 2 (b) 4 (c) -2 a What is the second smallest value in -5/2, 0.2, 3/2, 78? 0.2 Which is the smallest value? (a) -6 (b) 3/14 (c) -3/7 a Which is the smallest value? (a) 2 (b) -0.3 (c) 1 (d) -24 d What is the biggest value in 0.1, 2/7, 1, 2, 66? 66 Which is the second smallest value? (a) -0.2 (b) -39 (c) 5 (d) 2/7 (e) 1/4 a What is the third smallest value in -3, -0.4, 25, -3/2? -0.4 Which is the second smallest value? (a) -2 (b) 3 (c) -1/9 (d) 6/7 c Which is the second biggest value? (a) -65 (b) 4 (c) -0.2 (d) -5 c Which is the second biggest value? (a) 3/2 (b) 0 (c) -2/7 (d) -3/2 b What is the second smallest value in -1, 0.3, 2.05? 0.3 What is the third biggest value in -1/24, -2/9, 1/39, 0.08? -1/24 What is the fifth smallest value in -2, -1, 0.1, -1/2, -4? 0.1 Which is the second biggest value? (a) -2 (b) -12 (c) 19 a Which is the smallest value? (a) 5 (b) 3/5 (c) -4 c What is the fourth biggest value in -3, 0, -10, -0.1? -10 What is the third smallest value in -2, -1/6, 2/9, -8? -1/6 Which is the third biggest value? (a) -1/36 (b) 7 (c) 0.4 (d) -0.4 (e) 1 c What is the biggest value in 4, -5, -0.1? 4 Which is the smallest value? (a) 1/4 (b) -0.14 (c) 0.01 b Which is the second smallest value? (a) -0.1 (b) -4 (c) 0.083 a What is the third smallest value in 1/11, -3, 3? 3 Which is the second smallest value? (a) -5 (b) 2/5 (c) 3/5 (d) 13/5 (e) 1/2 b Which is the second smallest value? (a) 17 (b) -5/2 (c) -3 (d) -2/3 (e) -4 c What is the fourth biggest value in 0.1, 1, 5, -1/7, 116? 0.1 Which is the third biggest value? (a) 0.4 (b) -2 (c) 3 b What is the fifth biggest value in -0.4, 4, 9, 1, 64? -0.4 Which is the fourth smallest value? (a) 0 (b) 18 (c) -4 (d) -0.7 b Which is the fourth biggest value? (a) -137 (b) 5 (c) 3/2 (d) 0.2 a Which is the third smallest value? (a) 4 (b) 165 (c) 0.3 b Which is the biggest value? (a) -3/20 (b) 0.06 (c) -0.2 b What is the third biggest value in -0.054, 2/9, -0.3, 0.1? -0.054 Which is the biggest value? (a) -0.19 (b) -3 (c) -4 a What is the smallest value in -4, -0.056, -3, -2, -5? -5 Which is the third biggest value? (a) 1 (b) -1/8 (c) -2/3 (d) 0.0493 (e) 0.3 d What is the second smallest value in 0.074, 3, 2? 2 Which is the second smallest value? (a) 3/7 (b) 206 (c) 0.3 a What is the smallest value in 0.2, -0.2, 1/3, -4? -4 What is the biggest value in 5, 3, 0.05, 22? 22 What is the third biggest value in -1, -1/559, -2/11? -1 Which is the fifth smallest value? (a) 5 (b) 1/4 (c) 4 (d) -9 (e) 10/3 a What is the fifth biggest value in 1/4, 0.11, -5, 4, 5? -5 What is the second biggest value in -4, 1.1, 0.155? 0.155 What is the smallest value in -2/3, 34, 2/7, -16? -16 Which is the smallest value? (a) -8 (b) -14 (c) 0.061 b What is the biggest value in -0.1, 5, -3, -2/277, 2/11? 5 What is the second biggest value in -0.08, -3, 69? -0.08 Which is the second smallest value? (a) 0.9 (b) 10/171 (c) -1/4 b What is the fourth smallest value in 4, -6, 4/3, -0.3, -3/5? 4/3 What is the fourth smallest value in -4, -32, -2, 4? 4 What is the fourth biggest value in -11, -4, -4/31, -0.1, 1? -4 Which is the third biggest value? (a) -3 (b) 16 (c) 0 a Which is the third smallest value? (a) -0.2 (b) 21 (c) -0.4 b Which is the second biggest value? (a) -1 (b) -0.4 (c) 518 b What is the second smallest value in 0.09, 2/7, -4, -1? -1 Which is the second biggest value? (a) 15 (b) 6/31 (c) 2 c What is the second smallest value in 5/2, 19, -3? 5/2 What is the second smallest value in 12, 1.6, -2/3? 1.6 Which is the fourth smallest value? (a) -0.4 (b) 12 (c) 2/11 (d) 0 b Which is the third biggest value? (a) -3 (b) 24 (c) -0.07 a Which is the fourth biggest value? (a) -0.01 (b) 0 (c) -2/17 (d) 1 c Which is the smallest value? (a) -7 (b) 2/69 (c) -1 a What is the second biggest value in 0.5, 0.3, 5, 14, 3/4? 5 What is the second smallest value in 10, -7, 1, 2/5, -0.3? -0.3 Which is the second biggest value? (a) 12 (b) 7/4 (c) -11/2 b What is the fifth biggest value in 5, 0.07, 0.1, -1, -0.1? -1 What is the fifth smallest value in -2/7, 10, -5, 3, 1? 10 Which is the biggest value? (a) -3 (b) -0.023 (c) -4 b What is the second smallest value in -6, -3/2, 6/5? -3/2 What is the smallest value in -3, 11, 0.2? -3 Which is the second smallest value? (a) 0.34 (b) 4/9 (c) 3/11 a Which is the second biggest value? (a) -0.3 (b) 113 (c) 0.3 (d) 2/11 c What is the biggest value in -0.4, -4, 3, 0? 3 Which is the third smallest value? (a) 1 (b) -31 (c) 1/3 a What is the second biggest value in -3/2, -0.9, -2/9, -8, 2/31? -2/9 Which is the second smallest value? (a) -2 (b) -1 (c) -0.5 (d) 2/3 b Which is the third smallest value? (a) -0.1 (b) -2/19 (c) -4 (d) -11 (e) 1 b Which is the fourth biggest value? (a) -1/8 (b) -2 (c) 1 (d) 2.3 b What is the third biggest value in 44, 3/5, 2, -2? 3/5 Which is the second biggest value? (a) -4/5 (b) 315 (c) -2/3 c What is the third smallest value in 0.2, -1, -4/7, 3/7? 0.2 What is the third biggest value in 3, -1, 1/33? -1 Which is the second smallest value? (a) 1.8 (b) 0 (c) 6 (d) 1/3 d Which is the second biggest value? (a) -52 (b) 0.1 (c) -0.1 c Which is the fourth biggest value? (a) 1/4 (b) 2 (c) -1/4 (d) 31 (e) 1/3 a Which is the fourth smallest value? (a) 7 (b) -4 (c) -116 (d) 2 (e) -1/4 d What is the third smallest value in 812, 1, -11? 812 Which is the third smallest value? (a) 0 (b) 1/7 (c) -8.8 b What is the second smallest value in -0.6, -1/2, -4, 0.6? -0.6 Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -0.3 (d) -9 b Which is the smallest value? (a) -4 (b) -56 (c) -12 (d) -2/5 b Which is the fourth biggest value? (a) 1/5 (b) -0.2 (c) -3/8 (d) 14 (e) -1/10 b What is the third smallest value in -0.3, -56, -4, 0.3? -0.3 What is the smallest value in -1, 3/4, -2/19, 1, -113? -113 Which is the third biggest value? (a) -17 (b) 2/9 (c) 1 a What is the second biggest value in 0.5, -1.83, -0.5? -0.5 Which is the second smallest value? (a) 0.635 (b) 0.1 (c) -12 b Which is the smallest value? (a) 3 (b) -1 (c) -11/2 (d) 4 c What is the biggest value in 9, 6/13, 0.1, -1/6? 9 Which is the second biggest value? (a) -3 (b) 1.1 (c) -9 a What is the second smallest value in 0.05, -0.4, -0.04? -0.04 What is the smallest value in -2/47, 4/3, 54? -2/47 Which is the smallest value? (a) 3 (b) 0.06 (c) 1 (d) -5 d What is the fourth biggest value in -3, 0.3, 23, -5, 1? -3 What is the fourth biggest value in 1, -0.3, -1/3, 1/4? -1/3 What is the third biggest value in -18, 1.2, -0.05? -18 Which is the smallest value? (a) 4 (b) 3/4 (c) -1 c Which is the second smallest value? (a) 0.09 (b) 5 (c) -88/15 (d) 4 a Which is the fifth smallest value? (a) 0 (b) 3/8 (c) 1/20 (d) 1 (e) -16 d Which is the third smallest value? (a) 2/3 (b) 4.22 (c) 1/6 b What is the fifth smallest value in 10, -78, -0.3, 4/7, 0.4? 10 Which is the second biggest value? (a) -4 (b) -1689 (c) 2 a Which is the biggest value? (a) -2/5 (b) -5 (c) 0.7 (d) -3/8 c Which is the third biggest value? (a) -5 (b) -9 (c) 1/4 b Which is the fourth biggest value? (a) 0.1 (b) 10 (c) 2 (d) -0.02 d Which is the second smallest value? (a) -28 (b) -1/3 (c) 4/7 b What is the third biggest value in 2, 0.02661, -1? -1 What is the third smallest value in -0.5, 0.188, -2? 0.188 What is the third biggest value in 0.3, -0.5, 13/2? -0.5 What is the fifth biggest value in 0, -2/63, -5/6
{ "pile_set_name": "DM Mathematics" }
Let s(f) = -6*f - 8. Determine s(-2). 4 Let r(y) = y**2 - 9*y - 9. What is r(13)? 43 Let c(u) = -u**2 + 10*u - 20. Calculate c(9). -11 Let w(u) = 4*u**2 - 12*u - 6. Calculate w(6). 66 Let q(o) = -4*o + 103. Give q(23). 11 Let u(f) = -f**3 + 7*f**2 + 8*f - 14. Give u(8). -14 Let f(d) = 5*d**2 + 3*d + 1. Give f(-2). 15 Let w(h) = h**2 + 19*h + 8. What is w(-15)? -52 Let y(o) = -o**2 + 6*o - 6. Determine y(3). 3 Let d(r) = 21*r + 5. What is d(3)? 68 Let j(y) = 2*y**2 + y + 6. Give j(-3). 21 Let b(c) = -2*c**3 - 2*c**2 - 4*c - 3. Give b(-2). 13 Let n(k) = -4*k**2 + 38*k + 33. Calculate n(10). 13 Let f(i) = 7*i + 2. What is f(-4)? -26 Let m(c) = -c**2 + 12*c - 24. What is m(11)? -13 Let l(g) = 6*g + 132. Calculate l(-22). 0 Let r(m) = -102*m - 397. Calculate r(-4). 11 Let c(s) = -2*s**2 + 18*s - 13. Calculate c(7). 15 Let v(x) = x**2 - 14*x + 61. Determine v(6). 13 Let h(v) = -v**2 + 30*v - 31. Determine h(29). -2 Let t(z) = -8*z - 8. Determine t(-2). 8 Let m(f) = -f - 15. Determine m(-6). -9 Let h(j) = 2*j - 11. Calculate h(-2). -15 Let f(b) = -b**2 - 17*b - 20. Calculate f(-9). 52 Let j(u) = -5*u + 43. What is j(9)? -2 Let o(g) = -2*g**3 - 2*g**2 + 3*g - 3. What is o(1)? -4 Let l(n) = 2*n**2 + 29*n + 21. Determine l(-14). 7 Let c(f) = 2*f + 28. Determine c(-10). 8 Let q(v) = -3*v**2 - 6*v. Calculate q(-4). -24 Let f(w) = w**2 + 6*w - 83. Determine f(0). -83 Let h(p) = -p**2 + 14*p - 6. Calculate h(14). -6 Let a(h) = -h**2 - 6*h - 2. Determine a(-5). 3 Let r(p) = -4*p - 46. What is r(-5)? -26 Let i(s) = -s - 7. Calculate i(4). -11 Let d(z) = -z**3 + 11*z**2 - 19*z + 1. Calculate d(9). -8 Let h(f) = f**3 - 12*f**2 - 11*f + 16. What is h(13)? 42 Let t(b) = 48*b + 797. What is t(-17)? -19 Let d(c) = -c**3 - 15*c**2 + 36*c + 44. Calculate d(-17). 10 Let x(d) = -d**3 - 35*d**2 + 36*d + 1. Calculate x(-36). 1 Let o(p) = -p**2 + 7*p - 1. What is o(5)? 9 Let s(z) = -8*z - 2. Calculate s(-1). 6 Let r(z) = 3*z**2 + 4*z - 5. Give r(0). -5 Let a(x) = x**3 + 4*x**2 + 4. Give a(-3). 13 Let s(c) = c - 4. Calculate s(-7). -11 Let u(k) = 12*k - 9. Calculate u(1). 3 Let k(v) = -v**2 + 10*v - 11. Give k(8). 5 Let l(h) = 6*h + 75. What is l(-13)? -3 Let n(w) = w**2 - 12*w - 11. Determine n(9). -38 Let h(v) = 6*v + 112. What is h(-25)? -38 Let w(v) = -3*v - 13. Give w(9). -40 Let h(j) = 4*j + 63. Give h(-17). -5 Let a(y) = -y**3 + 8*y**2 - 8*y + 4. Calculate a(7). -3 Let l(u) = u - 20. What is l(15)? -5 Let j(d) = -3*d**2 + 2*d + 5. Calculate j(3). -16 Let q(k) = k**2 + 5*k + 6. Determine q(8). 110 Let v(l) = 7*l**3. Calculate v(-1). -7 Let z(l) = -l**2 + 4*l - 6. Determine z(2). -2 Let u(t) = t**3 + 3*t + 5. Determine u(0). 5 Let x(u) = u**3 - 16*u**2 + 14*u + 13. Calculate x(15). -2 Let l(c) = c**2 - 30*c + 87. Calculate l(27). 6 Let t(i) = -i**2 - 8*i + 13. Determine t(-10). -7 Let q(g) = -g**2 + 7*g + 9. Calculate q(11). -35 Let c(m) = 6*m**2 + 25*m. What is c(-4)? -4 Let v(i) = -3*i + 17. Give v(-5). 32 Let u(r) = -r**3 + 14*r**2 + 22*r - 42. Determine u(15). 63 Let r(c) = c**3 - 8*c**2 - 10*c - 3. Calculate r(9). -12 Let f(t) = -t**3 + 13*t**2 - 9*t + 32. Calculate f(10). 242 Let z(q) = q**3 + 8*q**2 + 5*q + 47. Determine z(-8). 7 Let v(s) = 42*s + 132. Determine v(-3). 6 Let w(m) = -m**2 - 18*m + 3. What is w(-19)? -16 Let b(q) = q**3 + 2*q**2 - 72*q - 221. Give b(-3). -14 Let r(m) = 16*m + 3. Give r(-3). -45 Let s(d) = -8*d - 39. Calculate s(-3). -15 Let t(h) = 5*h**3 + h**2 + 2*h + 1. What is t(2)? 49 Let b(i) = i**3 + 8*i**2 + 4*i + 7. Give b(-8). -25 Let l(w) = -5*w**2 - 15*w + 1. Calculate l(-3). 1 Let l(a) = -2*a**2 + 13*a - 10. Give l(6). -4 Let h(z) = 7*z - 93. Give h(11). -16 Let l(y) = -y - 2. Calculate l(-11). 9 Let w(i) = -i**3 - 7*i**2 + 9*i + 8. Calculate w(-8). 0 Let j(g) = -g**3 + 8*g**2 - 4*g - 16. Give j(7). 5 Let j(w) = 3*w**2 + 5*w - 1. Give j(-3). 11 Let l(b) = 5*b**2 - 5*b. Give l(4). 60 Let f(b) = -b**2 + 7*b - 3. Determine f(7). -3 Let x(s) = 5*s - 34. Calculate x(6). -4 Let x(z) = 14*z - 46. Determine x(10). 94 Let k(n) = -22*n + 968. What is k(44)? 0 Let k(f) = f**3 - 9*f**2 + 23*f + 6. Give k(4). 18 Let o(s) = 3*s - 134. Give o(30). -44 Let a(b) = b**3 - 34*b**2 + 64*b - 1. Give a(32). -1 Let n(v) = 3*v**2 + 20*v + 2. What is n(-7)? 9 Let a(g) = 2*g - 19. What is a(9)? -1 Let s(t) = -3*t**3 - t**2 + 4*t + 5. Give s(-2). 17 Let g(s) = s**3 - 13*s**2 + 21*s + 7. Give g(11). -4 Let x(y) = y**3 - 9*y**2 - 52*y - 5. Determine x(13). -5 Let n(z) = z**3 - 2*z**2 - 4*z - 2. What is n(5)? 53 Let s(c) = 31*c - 36. Calculate s(1). -5 Let f(w) = 3*w + 12. Determine f(-13). -27 Let t(u) = u + 16. What is t(-10)? 6 Let v(m) = -2*m - 10. Determine v(0). -10 Let c(d) = -d**3 + 7*d**2 - 11*d + 20. Give c(6). -10 Let y(v) = -2*v**3 - 2*v**2 - v - 2. What is y(-2)? 8 Let n(r) = -r**3 - 2*r**2 + 2*r. Determine n(-3). 3 Let b(j) = -j**3 - 27*j**2 - 3*j - 75. Give b(-27). 6 Let k(y) = y + 6. Calculate k(-11). -5 Let c(q) = 9*q**2 - 3. Calculate c(-2). 33 Let j(f) = -f**2 - 52*f + 346. Calculate j(6). -2 Let w(r) = -r**3 - 7*r**2 - 1. Calculate w(-7). -1 Let h(v) = -v**3 + 11*v**2 + 17*v - 52. Calculate h(12). 8 Let i(x) = x**2 - 28*x + 51. What is i(25)? -24 Let x(q) = q**2 - 12*q + 16. Determine x(7). -19 Let v(b) = b**3 - 22*b**2 - 23*b + 8. What is v(23)? 8 Let i(r) = -r**3 + 15*r**2 + 17*r - 27. Determine i(16). -11 Let j(r) = r**3 + 8*r**2 + 11*r - 4. What is j(-6)? 2 Let d(m) = m**3 - 9*m**2 + 7*m - 5. What is d(9)? 58 Let x(d) = -d**2 + 22*d - 13. Calculate x(13). 104 Let i(j) = -2*j - 22. Calculate i(3). -28 Let n(k) = k**3 + 10*k**2 + 15*k - 9. Give n(-8). -1 Let a(o) = 7*o**2 - 168*o - 169. Give a(-1). 6 Let q(g) = g**3 - 9*g**2 - g - 5. Calculate q(9). -14 Let q(g) = -g**2 + 8*g + 14. What is q(9)? 5 Let k(t) = -21*t - 195. Give k(-10). 15 Let v(o) = 11*o + 4. Determine v(-2). -18 Let c(s) = -81*s**3 - s**2 + 2*s - 2. Give c(1). -82 Let a(n) = 4*n**2 + 8*n - 9. Determine a(-5). 51 Let o(h) = -h**3 + 11*h**2 + h - 2. Give o(11). 9 Let r(k) = 7*k - 8. Determine r(6). 34 Let x(w) = -3*w**2 + 27*w - 58. Give x(5). 2 Let a(c) = -2*c**2 - 58*c + 119. Give a(-31). -5 Let x(w) = w**2 - 4*w - 44. Determine x(8). -12 Let r(j) = -4*j - 3. Calculate r(-5). 17 Let c(b) = -19*b - 26. What is c(-1)? -7 Let x(a) = a**3 - 5*a**2 + 6*a - 2. What is x(4)? 6 Let l(i) = -4*i + 85. Calculate l(20). 5 Let r(p) = -p**3 + 8*p**2 - 7*p + 5. Calculate r(7). 5 Let j(v) = -v**3 - 35*v**2 - 34*v - 5. Calculate j(-34). -5 Let i(u) = -u**3 - 17*u**2 + 21*u + 48. Calculate i(-18). -6 Let y(c) = c**2 + 23*c - 10. What is y(-23)? -10 Let d(k) = 2*k**2 + k - 3. What is d(3)? 18 Let v(y) = y**3 + 23*y**2 - 25*y - 37. Calculate v(-24). -13 Let p(c) = 17*c + 17. Calculate p(-7). -102 Let f(k) = 3*k - 26. Calculate f(7). -5 Let j(d) = 13*d + 165. Give j(-13). -4 Let s(m) = -37*m - 147. Give s(-4). 1 Let p(w) = 6*w - 9. Calculate p(-7). -51 Let u(f) = f**3 - f + 4. Calculate u(2). 10 Let g(j) = 2*j**3 + 9*j**2 - 28*j - 136. Determine g(-4). -8 Let i(b) = b**2 + 5. Determine i(11). 126 Let m(j) = -2*j - 13. Determine m(-5). -3 Let x(p) = 2*p**2 - p - 8. Determine x(0). -8 Let p(j) = 5*j + 10. Calculate p(-8). -30 Let k(j) = -19*j + 73. Give k(4). -3 Let d(u) = -5*u + 7. Calculate d(1). 2 Let y(h) = -8*h + 15. What is y(7)? -41 Let v(c) = c**2 - c + 7. Determine v(0). 7 Let n(s) = -17*s + 363. Give n(21). 6 Let u(j) = j**3 - 35*j**2 + 285*j + 25. Determine u(22). 3 Let u(a) = -6*a - 20. What is u(-4)? 4 Let w(z) = -z**2 - 8*z + 33. Determine w(-10). 13 Let p(l) = l - 27. Determine p(17). -10 Let r(o) = 2*o + 3. What is r(-12)? -21 Let f(z) = -z**2 - 33*z + 38. What is f(-34)? 4 Let u(i) = 4*i**2 - 8*i + 4. What is u(1)? 0 Let k(t) = 26*t - 11. Calculate k(-5). -141 Let q(j) = 3*j**3 - 2*j**2 + j + 2. Determine q(-1). -4 Let v(t) = -t**2 + 4*t + 3. Calculate v(6). -9 Let c(g) = -g**2 - g + 41. What is c(6)? -1 Let c(g) = -g**3 - 7*g**2 - g - 10. Give c(-7). -3 Let v(j) = j**3 - 6*j**2 - 3*j + 9. Determine v(5). -31 Let h(d) = -d**3 + 5*d**2 + 18*d - 4. Give h(7). 24 Let l(a) = -a**2 + 8*a + 20. Determine l(-5). -45 Let u(m) = m**2 + 11*m - 8. Determine u(-12). 4 Let l(u) = -39*u. Calculate l(2). -78 Let b(f) = 3*f + 27. What is b(-9)? 0 Let f(a) = a**2 - a - 4. Give f(4). 8 Let a(q)
{ "pile_set_name": "DM Mathematics" }
t is the u'th term of -29, -43, -59, -77? -u**2 - 11*u - 17 What is the d'th term of -248, -518, -788? -270*d + 22 What is the q'th term of 36, 66, 94, 120, 144, 166, 186? -q**2 + 33*q + 4 What is the k'th term of 421, 431, 441? 10*k + 411 What is the y'th term of -222, -227, -240, -261, -290, -327, -372? -4*y**2 + 7*y - 225 What is the y'th term of -1021, -1016, -1001, -970, -917, -836, -721, -566? y**3 - y**2 + y - 1022 What is the d'th term of -449, -900, -1351, -1802, -2253? -451*d + 2 What is the i'th term of 1213, 2426, 3629, 4816, 5981, 7118? -i**3 + i**2 + 1217*i - 4 What is the w'th term of 361, 714, 1067? 353*w + 8 What is the j'th term of 66, 65, 56, 39, 14, -19, -60? -4*j**2 + 11*j + 59 What is the c'th term of -115, -357, -753, -1297, -1983? c**3 - 83*c**2 - 33 What is the c'th term of -121, -162, -189, -196, -177, -126, -37, 96? c**3 + c**2 - 51*c - 72 What is the f'th term of 89, 331, 731, 1289, 2005? 79*f**2 + 5*f + 5 What is the h'th term of 57, 114, 171, 228, 285? 57*h What is the m'th term of -6, -16, -30, -48? -2*m**2 - 4*m What is the v'th term of -13, -5, 5, 17, 31, 47? v**2 + 5*v - 19 What is the r'th term of 57, 60, 63, 66, 69, 72? 3*r + 54 What is the s'th term of -25, -108, -245, -436, -681? -27*s**2 - 2*s + 4 What is the p'th term of -142, -284, -426, -568, -710, -852? -142*p What is the l'th term of 63, 124, 173, 204, 211? -l**3 + 68*l - 4 What is the y'th term of -80, -250, -526, -902, -1372, -1930, -2570? y**3 - 59*y**2 - 22 What is the m'th term of -11, -12, -21, -44, -87, -156, -257? -m**3 + 2*m**2 - 12 What is the g'th term of -449, -451, -453? -2*g - 447 What is the h'th term of 7, 9, 11, 13, 15, 17? 2*h + 5 What is the x'th term of -201, -204, -207? -3*x - 198 What is the j'th term of 179, 636, 1387, 2426, 3747, 5344, 7211, 9342? -j**3 + 153*j**2 + 5*j + 22 What is the u'th term of 41, 43, 47, 53, 61? u**2 - u + 41 What is the t'th term of 48, 116, 184? 68*t - 20 What is the d'th term of -148, -149, -150, -151? -d - 147 What is the q'th term of -48, -148, -418, -942, -1804, -3088, -4878? -14*q**3 - q**2 + q - 34 What is the n'th term of -1015, -2020, -3037, -4072, -5131, -6220, -7345, -8512? -n**3 - 998*n - 16 What is the l'th term of 761, 1519, 2277, 3035? 758*l + 3 What is the a'th term of -427, -854, -1283, -1714, -2147, -2582, -3019? -a**2 - 424*a - 2 What is the k'th term of -1, -19, -37, -55, -73, -91? -18*k + 17 What is the w'th term of -25, -234, -813, -1948, -3825? -31*w**3 + w**2 + 5*w What is the q'th term of -7, 1, 23, 65, 133, 233, 371, 553? q**3 + q**2 - 2*q - 7 What is the r'th term of -42, -161, -358, -633, -986, -1417? -39*r**2 - 2*r - 1 What is the r'th term of 536, 538, 534, 518, 484, 426, 338, 214? -r**3 + 3*r**2 + 534 What is the y'th term of 35, 38, 51, 80, 131, 210, 323? y**3 - y**2 - y + 36 What is the u'th term of 7110, 7109, 7108? -u + 7111 What is the q'th term of -24, -122, -340, -738, -1376, -2314, -3612, -5330? -10*q**3 - 28*q + 14 What is the s'th term of -1, -44, -165, -400, -785, -1356, -2149, -3200? -6*s**3 - 3*s**2 + 8*s What is the t'th term of 37, 38, 39, 40, 41, 42? t + 36 What is the m'th term of 19, 34, 51, 70, 91, 114, 139? m**2 + 12*m + 6 What is the c'th term of -7, -106, -381, -922, -1819, -3162, -5041, -7546? -15*c**3 + 2*c**2 + 6 What is the q'th term of 18, 37, 62, 93? 3*q**2 + 10*q + 5 What is the s'th term of -5620, -5618, -5616, -5614, -5612? 2*s - 5622 What is the g'th term of -342, -337, -334, -333, -334? -g**2 + 8*g - 349 What is the n'th term of -26, -77, -160, -275, -422, -601? -16*n**2 - 3*n - 7 What is the y'th term of -5, -36, -115, -266, -513? -4*y**3 - 3*y + 2 What is the d'th term of -20, -35, -48, -59, -68? d**2 - 18*d - 3 What is the t'th term of 112, 86, 60, 34? -26*t + 138 What is the z'th term of -299, -596, -893, -1190, -1487? -297*z - 2 What is the l'th term of -151, -149, -147, -145, -143? 2*l - 153 What is the g'th term of -239, -479, -719, -959? -240*g + 1 What is the f'th term of 35, 57, 79, 101, 123, 145? 22*f + 13 What is the v'th term of -97, -75, -9, 125, 351, 693, 1175, 1821? 4*v**3 - 2*v**2 - 99 What is the g'th term of -3539, -7077, -10615? -3538*g - 1 What is the o'th term of 4198, 4201, 4204? 3*o + 4195 What is the r'th term of -8297, -16592, -24887? -8295*r - 2 What is the s'th term of -742, -757, -788, -841, -922, -1037, -1192, -1393? -s**3 - 2*s**2 - 2*s - 737 What is the u'th term of 41, 32, 11, -28, -91? -u**3 - 2*u + 44 What is the o'th term of -557, -548, -533, -512, -485? 3*o**2 - 560 What is the o'th term of 196, 795, 1792, 3187, 4980, 7171, 9760? 199*o**2 + 2*o - 5 What is the a'th term of -107, -158, -293, -554, -983, -1622, -2513? -7*a**3 - 2*a - 98 What is the k'th term of 3518, 3517, 3516, 3515, 3514, 3513? -k + 3519 What is the z'th term of -112, -115, -118, -121? -3*z - 109 What is the d'th term of -2939, -2940, -2941, -2942, -2943, -2944? -d - 2938 What is the r'th term of -51, -444, -1519, -3618, -7083, -12256, -19479? -57*r**3 + r**2 + 3*r + 2 What is the u'th term of -444, -445, -446, -447, -448, -449? -u - 443 What is the c'th term of 5289, 5287, 5285, 5283, 5281? -2*c + 5291 What is the r'th term of -68, -260, -580, -1028, -1604, -2308, -3140? -64*r**2 - 4 What is the d'th term of 1070, 1071, 1072, 1073, 1074, 1075? d + 1069 What is the t'th term of -125, -136, -161, -206, -277, -380, -521? -t**3 - t**2 - t - 122 What is the j'th term of -178, -364, -560, -772, -1006, -1268, -1564, -1900? -j**3 + j**2 - 182*j + 4 What is the s'th term of 311, 309, 307, 305, 303, 301? -2*s + 313 What is the a'th term of 74, 70, 66, 62? -4*a + 78 What is the n'th term of 242, 940, 2110, 3758, 5890? n**3 + 230*n**2 + n + 10 What is the t'th term of -124, -109, -78, -25, 56, 171? t**3 + 2*t**2 + 2*t - 129 What is the l'th term of -25, -110, -251, -448, -701? -28*l**2 - l + 4 What is the q'th term of -30, -44, -62, -84, -110? -2*q**2 - 8*q - 20 What is the x'th term of -40, -54, -100, -196, -360? -3*x**3 + 2*x**2 + x - 40 What is the b'th term of 257, 509, 761? 252*b + 5 What is the l'th term of 309, 245, 155, 33, -127? -l**3 - 7*l**2 - 36*l + 353 What is the d'th term of 16, 2, -14, -26, -28, -14? d**3 - 7*d**2 + 22 What is the u'th term of 173, 273, 373, 473, 573, 673? 100*u + 73 What is the u'th term of 31, 71, 173, 367, 683, 1151, 1801, 2663? 5*u**3 + u**2 + 2*u + 23 What is the z'th term of 256, 631, 1004, 1375, 1744, 2111? -z**2 + 378*z - 121 What is the o'th term of -47, -233, -541, -971, -1523? -61*o**2 - 3*o + 17 What is the n'th term of 60, 110, 162, 216, 272, 330, 390? n**2 + 47*n + 12 What is the b'th term of 1621, 3248, 4877, 6508, 8141? b**2 + 1624*b - 4 What is the w'th term of -22, -53, -92, -133, -170, -197, -208, -197? w**3 - 10*w**2 - 8*w - 5 What is the z'th term of -35, -110, -245, -446, -719? -z**3 - 24*z**2 + 4*z - 14 What is the y'th term of 115, 231, 347, 463, 579, 695? 116*y - 1 What is the s'th term of 7143, 7146, 7149? 3*s + 7140 What is the c'th term of 2644, 2640, 2634, 2626, 2616, 2604, 2590? -c**2 - c + 2646 What is the r'th term of -21, -57, -119, -207, -321? -13*r**2 + 3*r - 11 What is the b'th term of -572, -573, -574, -575? -b - 571 What is the j'th term of -5162, -5161, -5160, -5159? j - 5163 What is the d'th term of 13, 17, 17, 7, -19, -67, -143? -d**3 + 4*d**2 - d + 11 What is the y'th term of 2062, 2063, 2066, 2071, 2078? y**2 - 2*y + 2063 What is the o'th term of -31, -45, -35, -1? 12*o**2 - 50*o + 7 What is the i'th term of -15, -8, 9, 42, 97, 180, 297? i**3 - i**2 + 3*i - 18 What is the g'th term of 600, 599, 598, 597, 596, 595? -g + 601 What is the g'th term of 358, 715, 1072, 1429? 357*g + 1 What is the k'th term of -177, -191, -221, -273, -353? -k**3 - 2*k**2 - k - 173 What is the k'th term of -328, -326, -324, -322? 2*k - 330 What is the j'th term of -9, -16, -27, -42, -61, -84? -2*j**2 - j - 6 What is the n'th term of -78, -87, -112, -159, -234, -343? -n**3 - 2*n**2 + 4*n - 79 What is the z'th term of 2907, 2911, 2915, 2919, 2923, 2927? 4*z + 2903 What is the b'th term of 1, -78, -209, -392, -627, -914, -1253? -26*b**2 - b + 28 What is the p'th term of 417, 429, 455, 501, 573? p**3 + p**2 + 2*p + 413 What is the w'th term of 138, 135, 134, 135, 138, 143? w**2 - 6*w + 143 What i
{ "pile_set_name": "DM Mathematics" }
for n. 3 Let k be -9 + (19/(57/(-66)))/(-2). Solve k*x + 1 = r, 4*r - 77*x - 9 = -74*x for r. 3 Let f(h) = -h**3 - 16*h**2 - 19*h - 70. Let g be f(-15). Let w(q) = -q**3 - 11*q**2 + q + 120. Let i be w(g). Solve -i = -2*b - 3*d - 0*d, 4*b + d = 20 for b. 5 Let m(t) = 22*t + 599. Let r be m(-27). Solve -4*i - 2*w + 16 = 0, w - 8 = -2*i + r*w for i. 4 Let w(t) = -t**2 + 24*t + 69. Let i be w(22). Let u = i - 113. Solve u = 3*x - 6, j + x + 3*x - 8 = 0 for j. 0 Suppose -1900 = -15*m + 755. Let g = m - 175. Solve 0 = -y - 3*l + g*l, 0 = 5*y + 2*l - 12 for y. 4 Let n(a) = -2*a**2 + 51*a - 20. Let t be n(25). Suppose h + t = 2*s, -8*s + 4*s = 2*h - 30. Solve 0 = -q + 2*q - 2*j + s, 4*j = -4*q - 20 for q. -5 Let n be (80/(-280))/((-1)/((-49)/(-2))). Let w(d) = 2*d - 7. Let q be w(5). Solve 0 = s - q*t + n, 4*t - 8 + 0 = s for s. -4 Suppose -19*a - 8456 = 4084. Let u = a - -675. Solve 3*w + u = p, p = 5*w - p + 26 for w. -4 Let s(u) = -94 - 105 - 345*u + 359*u + 27. Let y be s(13). Suppose 2*f = 5*f - 9. Solve -2*z - 9 = m - 3, -y = 4*z + f*m for z. -4 Suppose -5*h = 2*t + 55, 3*t + 2*h + 6 = -60. Let a(j) = j**3 + 19*j**2 - 19*j + 22. Let n be a(t). Solve -w - 24 = -5*r, n*r = r + 4 for w. -4 Let l be (-20)/(-4)*((-5)/(-1) + -2). Suppose -v - 5*g = -2*g + 1, 5*g + l = v. Suppose v*n = 43 - 18. Solve 0 = 2*o - 3*m + n + 3, -4*m + 10 = -3*o for o. 2 Suppose -8*y = -2*a - 3*y + 852, -3*a + 1278 = 3*y. Let v = a - 424. Solve -4*r + 12 = 0, 0 = 2*m - v*r - 5 + 1 for m. 5 Suppose 5 = -a - 5*s, -2*a = s - 3*s - 2. Suppose 29*p = 112*p - 158 - 91. Solve 0 = -p*c - 4*h + 1, -5*h + 2*h - 6 = a for c. 3 Suppose -7*a = -42 + 14. Suppose -a*m + 36 = 2*m. Solve -2*s - m = 2*n + 14, -4*n = 2*s + 30 for n. -5 Suppose -11 + 3 = -4*r. Let b(c) = 44*c**r - 30*c**2 + 5 + 0*c**3 + c**3. Let o be b(-14). Solve y + 4*y = -5, -o*s = -y + 24 for s. -5 Suppose 0 = 64*s - 59*s - 5*t - 295, 100 = 2*s + t. Solve -57*o + 8 = -s*o + 2*k, 12 = 4*o + k for o. 4 Suppose 15*a = 982 - 292. Let x = 14 + 34. Let c = x - a. Solve -2 = -4*b - c*w - 12, 0 = -b + w - 10 for b. -5 Let u(t) = 4*t - 38. Let c be u(7). Let p be (c + 3 + -8)*8/(-6). Solve 0 = -b - 4*v + p - 7, -4*b + 5*v - 32 = 0 for b. -3 Let q(v) = 99 - 3*v - 12*v + 62 - 44 - v. Let r be q(7). Solve 4*z + 11 = -3*o + r*z, 3*z - 6 = 0 for o. -3 Let v = -11352 - -11358. Solve 0 = 4*z - 2*o + 20, z + v*o - 10*o + 19 = 0 for z. -3 Let v = -849 - -856. Let a(t) = t**2 + 14*t - 145. Let m be a(v). Solve -k = -3*d + 4, m*k + 0*k + 8 = -d for d. 0 Suppose 12*a + 2160 = -0*a. Let t be (-24)/a + 6/(-45). Solve -k = 4*k - 4*o - 33, -5*k - o + 23 = t for k. 5 Suppose 8 - 73 = -13*k. Solve 14 = -k*b + 3*v, -2 = -4*b - 4*v + 2*v for b. -1 Suppose 4*z + 26 = 5*d + 3*z, 0 = d - 2*z + 2. Suppose d*n = -28 + 40. Solve i = -3*s + 1, -4*i + 2 + n = -2*s for s. 0 Let w(r) = 12*r - 198. Let y(o) = o. Let k(x) = w(x) - 5*y(x). Let i be k(30). Solve 4*h + 5*u + i = 2*h, -5*u - 11 = h for h. -1 Suppose 26*d = 129*d - 1030. Solve 0 = 5*j - 5*q - d, -2*j + 9*q + 4 = 10*q for j. 2 Let j(o) = -18*o - 32 - 3*o + 0*o. Let h be j(-2). Solve -4*v + 8 = 3*l, -v - v - h = -2*l for l. 4 Suppose -3*u + 13 = 4. Suppose 3*y = 2*l - 29 + 33, -5*y - 5*l + 40 = 0. Solve -r = 3, u*a + y*r = a - 10 for a. 1 Let r = 204 - 202. Suppose -r*x + 2*i + 16 = 0, 2*x - 19 = 4*i + 1. Solve 0 = -5*q - 5*u + 25, 3*q - x*q - 5*u + 23 = 0 for q. 1 Let w(l) = -312*l + 2004. Let s be w(6). Solve -134*g - 4*n = -s*g + 12, 3*g + 3*n = -12 for g. -2 Let l = -283 + 291. Suppose 52 + l = 12*g. Solve 4*z + 21 - 1 = 0, -g*z = 3*p + 28 for p. -1 Suppose -478 + 2017 = -9*n. Let w = 175 + n. Solve -3*s = -g - 17, -3*s - 13 = w*g + g for s. 4 Let d be -25*(2/(-16) + 5628/480). Let l = d + 294. Solve 2*q = k - 1, l*k - 2*q + 7*q = 17 for k. 3 Let n = 3391 + -3387. Solve -2*r = -t - n, 3*r - 6*r + 5*t + 20 = 0 for r. 0 Let j be (-72)/(-32) + 1/(-4). Suppose 44*p - 59 + 11 = 84. Solve -3*m = -p*b - j*b + 26, 4*m + 28 = 5*b for b. 4 Let w be -4*(-3 + -1 - 10/(-2)). Let y be 4*w/(-2)*(-9)/(-18). Suppose -c = -2*q - 8, 4*c - y*q = -q + 27. Solve 15 = -5*g + 4*t, 4*t - 3*t = -2*g - c for g. -3 Suppose -497*t + 12 = -496*t. Solve -9*n - 6 = 4*d - t*n, 3*n = d + 6 for d. 0 Suppose 56 = 23*p - 10 - 3. Solve 28*k - 33*k + 18 = z, 6 = p*z - k for z. 3 Let k = 65 + -61. Suppose -2*a = w - 1, -5*a = -5*w + k + 1. Let q be ((-168)/48)/(18/20 - w). Solve 2*h = 3*o + 3, 8 - q = 5*o + 4*h for o. -3 Let u = -24 - -54. Suppose -3*c = -4*a + 10, -c - 5*a + u = 4*c. Suppose c*r - 5 = 11. Solve -z + 7 = 5*n - r, -n - 2*z = 6 for n. 4 Let c(h) = h**2 + 81*h + 1611. Let l be c(-35). Solve 3*g + l = -4*v + 11, 5*g - 5*v = -30 for g. -2 Suppose -30*w + 389 = 239. Solve -5*c + 25 = -w*k, -5*k + k - 12 = 0 for c. 2 Suppose 2*s - 305 = 5*p, -p = 3*s - 4*s + 61. Let t be (-340)/8*5/((-25)/8). Let m = t + p. Solve 3*x - 4*x = -4*q + m, -2*q - 1 = -5*x for x. 1 Let k(f) = 22*f**2 - 137*f + 35. Let y be k(6). Solve -v = -4*u + 9*u - 11, -3*v = -4*u + y for u. 2 Let w be 9 - ((-40)/15 + (-338)/6). Let z(i) = -i**2 - 7*i - 2. Let p be z(-5). Suppose 4*b + w = p*b. Solve 5*s + 25 = 5*d, -4*d + b = -s - 0*d for s. -1 Let b be (-2)/(-1) + (-1806 + -3)/3. Let i = b - -621. Suppose 0 = -4*p + 37 - 13. Solve 3*w + 9 + p = 5*z, z = 4*w + i for w. -5 Let l(j) = -j - 10. Let b = -155 + 143. Let r be l(b). Solve -4*c - 15 = 5*s, r*s + 0*c - 5*c + 6 = 0 for s. -3 Let h(a) = -a**3 - 17*a**2 - 4*a - 34. Let z be h(-17). Let g(o) = 56 - 2*o + z - 60. Let d be g(14). Solve r + 6 = 5*j + d, j = -5*r + 6 for j. 1 Let w(m) = 1. Let q(b) = -2*b**2 - 12*b - 16. Let o(n) = q(n) + w(n). Let d be o(-3). Let r = -6 - -6. Solve 0 = d*v - g + 7, r*g = -2*v + 2*g - 10 for v. -1 Let g = -135 + 138. Solve -s + 18 = -g*s + 5*d, 0 = -s + 5*d - 14 for s. -4 Let h = -21 + -32. Let b = h - -64. Suppose -o = -2*c + b, 3*c + 27 = 6*c + 2*o. Solve -p = -4*n - 6, 0*p + p = 5*n + c for n. -1 Suppose 6*x - 16 = 10*x. Let z be -2*3/x*266/(-21). Let l = 26 + z. Solve 0 = 2*o - l - 3, -5*p = 4*o + 5 for p. -5 Suppose 11353*p = 11359*p - 12. Solve 12*j = -q + 10*j + 9, p*j = q + 11 for q. -1 Let q(l) = -l**3 + 22*l**2 - 56*l - 1. Suppose -38 = -53*v + 51*v. Let j be q(v). Suppose 0 = -y - 3*y. Solve -2*r + 3*x + j = 0, -3*x - 9 = r - y*x for r. 3 Let n(z) be the third derivative of z**5/60 + z**4 - 25*z**3/6 - 206*z**2. Let g be n(1). Solve -8 = -g*u - 3*u + f, 5 = -f for u. 1 Let q be 2*(41/6 + (-38)/(-57)). Suppose -3*m = q, u + 5*m + 0*m + 21 = 0. Solve 5*n - 2*n = 4*h + 2, -2*n = u*h + 12 for h. -2 Let r be (42/(-63))/(4/(-30) + 0). Suppose 59*j - 63*j + 6 = -r*u, -8 = -2*u - j. Solve 0*z + 4 = -u*z - 2*p, p = -4*z - 2 for z. 0 Let j = 24 - 22. Suppose 40 = -j*d + 4*t - 4, -4*d - 100 = -4*t. Let m be (-1)/2*(d + -4). Solve 3*p = 3*x + 2 + 1, 4*p = -2*x + m for x. 2 Suppose -r + 79 - 73 = -k, -2*r = -12. Solve -m + 3 = z, 3*m + k*z - 3*z - 15 = 0 for m. 4 Let q(r) = r**3 - 34*r**2 + 2*r - 64. Suppose -4*u + 3*n + 121 = 0, -22*n = -2*u - 27*n + 93. Let o be q(u). Solve j - o = 5*c, -j = -4*c - 5*j + 16 for c. 0 Suppose 308*q - 305*q = 15. Solve q*n + 13 = -2, -5*y + 3 = -n for y. 0 Suppose 2*l + 154 = -4*x, 2*x + 4*l + 86 = -0*x. Let v be x/(-13) - (-16)/(-728)*-7. Suppose -3*y = -12 + 3. Solve -v*t + t + j = -12, y*t + 5*j - 5 = 0 for t. 5 Suppose -8 = -5*h + 12. Suppose 2*n + a - 5 = 0, 12*n - 3*a = 10*n + 9. Suppose 1 - 10 = -3*y. Solve -m + l = 3, h*l - l = -n*m + y for m. -1 Let z be (-47)/(517/(-22))*(-6)/(-4). Solve -j + 1 = l - 6*j, -3*j = z for l. -4 Let p be ((-2)/(-6))/(1/(-843)) - 2. Let n = -273 - p. Solve 4*o = -5*a - 10, -2*a = -o + 3*a + n for o. 0 Let s be 6/4*(-13)/((-78)/12). Solve -s*a = 5*w + 30, -26 = 2*w - 67*a + 71*a for w. -3 Let o be (-1 - -4)*(-3372)/(-36). Suppose 5*x - 4*f = o, -4*x + 2*f + f + 225 = 0. Suppose -g - 2*g + x = 0. Solve -l = 5, n - g = 3*l + l for n. -1 Let n(b) = 6*b**3 + 7*b**2 - 27*b + 20. Let m be n(2). Solve 0 = -4*z + 5*g + 5, -5*z - 3*g = m - 2 for z. -5 Let v(r) = -6*r + 15*r - 2*r - 2. Let t be v(-10). Let w = t + 75. Solve 5*m + w*d = -33 + 8, 5*d + 35 = -5*m for m. -2 Let j = -396 - -398. Let f(h) = -h**3 + 16*h**2 - 29*h + 16. Let d be f(14). Solve -d*n - u - 10 = -0*u, j*n - u + 6 = 0 for n. -4 Suppose 50*h + 235
{ "pile_set_name": "DM Mathematics" }
0*y - 21 = 29*y, 3*r = -5*y + 13 for r. -4 Solve -10308*t + 10307*t = -p - 7, 2*t = p + 12 for p. -2 Solve 0 = 15*r - 13*r + 17*z - 53, r = z - 2 for r. 1 Solve -2 = 89*l - 87*l + 3*m, l = m - 6 for l. -4 Solve 9637*x + 2*g - 74 = 9633*x, -4*g - 44 = -4*x for x. 16 Solve -3*p - 16*s + 8 = -18*s, -2*p + 7 = -3*s for p. 2 Solve -37*g = 2*b - 12*g - 81, -5*b - 4*g + 27 = 0 for b. 3 Solve -7 = -6*k - 4*u - 11, 3*k - u = -8 for k. -2 Solve 5 = 5*n + 5*b, -907*b + 11 = n - 911*b for n. 3 Solve -5*x + 66 = t + t + 114, -31*x - 62 = 0 for t. -19 Solve 0 = 5*q + 3*b - 37, 2*q - b + 2*b = 14 for q. 5 Solve 0 = -4*q + 22*m - 21*m + 17, 0 = 5*q + 2*m - 18 for q. 4 Solve h = 5*n + 3531 - 3518, -5 = n + h for n. -3 Solve 5*o + 2*p = -23, -251*p = -2*o - 254*p - 18 for o. -3 Solve p - 4*d + 12 = 0, 195*d - 6 = 193*d for p. 0 Solve 0 = -119*r + 114*r - 3*n + 10, 36 = -4*r + 2*n for r. -4 Solve 3*q + 21 = 49*d - 54*d, 3 = -d for q. -2 Solve 3*l - 131*n = -128*n - 12, 4*n = 2*l + 10 for l. -3 Solve -313*v + 4 = -308*v - c, 4*c + 8 = 12*v for v. 1 Solve -2*y - 2*j = -3*y, 2*y - 2*j = 16 - 12 for y. 4 Solve 25 = 5*k, h + k = -136 + 141 for h. 0 Solve -9*i - 3*c + 174 = 0, -26 + 44 = i - c for i. 19 Solve -3*n + 5*m = n - 22, -3*m = 2*n + 22 for n. -2 Solve -2*l + 5*j = 13882 - 13869, l + 3*j = -1 for l. -4 Solve 3 = 2*n + 3*x, 11*n + 9 = 5*n - 3*x for n. -3 Solve -4*m - 41*w = -43*w + 12, -22 = 4*m + 3*w for m. -4 Solve -53*a = 5*z - 58*a - 15, -3*z + a = 1 for z. -2 Solve 0 = -4*s - 3*c - 35, -7*s + 20795*c - 20793*c - 25 = 0 for s. -5 Solve -61 = 6*x + 5*d + 29 - 22, 5*d = 10 for x. -13 Solve -36 = -4*k + 10*m, -5*k + 3*m - 84 = -91 for k. -1 Solve -5*k = -p + 22, -2041*k - 5*p + 22 = -2044*k for k. -4 Solve -5*i - 20 = -z, 2*z + 18373 - 18365 = -2*i for z. 0 Solve 6*w - 10 = j, -212*w + 214*w = 4*j + 62 for j. -16 Solve 11*a - 2*w = 16*a + 30, 0 = -2*a - 3*w - 23 for a. -4 Solve v - 6 = -3*h, 0 = 3*v + 480*h - 477*h - 12 for v. 3 Solve -65*s + 156 = 2*l, 5*s - 8*l + 10*l = 36 for s. 2 Solve 5*l + 4*x = 65, l + x = 99 - 86 for l. 13 Solve -4*l + l + 30 = -3*q, 29*q - 32 = 33*q for l. 2 Solve 4*s = 2*z - 12, 15*z - 16 = 19*z for s. -5 Solve 5*y = g + 8, g - 3*y = -375 + 373 for g. 7 Solve -3*f = m + 10, 4*m = f + 30 - 31 for m. -1 Solve 44*t - 49*t - 4*i + 2 = 0, 0 = 15*t - 2*i + 36 for t. -2 Solve -5*x - 3*q = 16, 3*x - q - 3255 + 3259 = 0 for x. -2 Solve 4*y = 8*p + 40, -12*p + 18 = -14*p + 3*y for p. -3 Solve 2*q - 212*c + 428*c = 219*c - 18, 3*c - 6 = 0 for q. -6 Solve -j + 3*o = -1, 2*j + 123 = 9*o + 122 for j. 4 Solve -72*y + 77*y - 2*a = -7, a - 3 = 2*y for y. -1 Solve 3*v + 4*c = 21, -4*c = -2855*v + 2856*v + 1 for v. 11 Solve 4*k - 4 = -3*h, -11*h + 147 = 4*k + 143 for k. 1 Solve -5*s + 5*j = 0, -40 = 4*s - 79*j + 83*j for s. -5 Solve 8 = -d - 5*k, 122*k + 18 = 4*d + 117*k for d. 2 Solve -2*y + 263 = -l + 265, 0 = 5*l + 4*y + 18 for l. -2 Solve -32*q + 25 = -35*q - 2*i, 11*q - 3*i + 71 = 0 for q. -7 Solve 3*v = -12*n + 10*n - 17, -2*v = 6 for n. -4 Solve g = -2*w - 343 + 336, 0 = -3*g - 3*w - 12 for g. -1 Solve 3*z - 4*g - 16 = 0, 20*g + 1 = 19*g for z. 4 Solve -17 = -m + 2*j - 6, -3*m + 25 = -4*j for m. 3 Solve -5*a + 584*g = 586*g + 58, 38 = -3*a + 2*g for a. -12 Solve -5*i = -30, 5*g - 51 = 3*i - 59 for g. 2 Solve -621*h = 2*d - 619*h + 14, 5*h + 26 = -2*d for d. -3 Solve -c + 8 = -s, -10*s + 138*c + 37 = 141*c for s. 1 Solve 5*m + 158784 = 5*z + 158774, 2 = -3*z + m for z. -2 Solve o = 3*m + 1 - 2, -204*o + 203*o - 2 = -4*m for o. 2 Solve -2*q = -52, -4*i - 62 = 13829*q - 13832*q for i. 4 Solve -2*c = -5*k - 25, -92 = 8*k + 3*k + 3*c for k. -7 Solve -13*l - 3 = -18*l - v, l - 2*v = 16 for l. 2 Solve -2*o = 6, -4*s - 2425*o + 2429*o - 12 = 0 for s. -6 Solve 2*a - 16 = -5*q, a + 4*q + 182 - 196 = 0 for a. -2 Solve 1579*d = 4*v + 1575*d + 32, 0 = -v + 2*d - 3 for v. -13 Solve b - 48 = 6*x - 31, 3 - 3 = 5*x for b. 17 Solve 0 = -4*h - 4*u - 28, -4515*u + 21 = -3*h - 4513*u for h. -7 Solve 5*t - 10*v - 110 = 0, -5*t - 2*v + 4095 - 4045 = 0 for t. 12 Solve -3*r - 220 = 2*f - 237, 7 = 4*f + 3*r for f. -5 Solve 36 = 2*z - 2*s, 12*s - 9*s = 6 for z. 20 Solve 5*u - 5 = 0, 2*t - 16*u = 6*u - 26*u for t. -2 Solve p + 17 = -4*o, 5*p - 31 = 4*p + 12*o for p. -5 Solve 4*z + 117*j = 226*j - 105*j - 24, 2*z - 3 = -j for z. -1 Solve 9 = 3*u, -212*b - 4*u + 14 = -214*b for b. -1 Solve 57*y - 59*y + l - 9 = 0, -2*y + 3*l - 15 = 0 for y. -3 Solve -3502*j = l - 3500*j - 17, -3*l + 5*j - 26 = 0 for l. 3 Solve 2*z - 215*a = -213*a - 4, 4*a - 10 = 5*z for z. -2 Solve 2*p = -4*r - 22, -11*r + 2*p - 310 = -212 for r. -8 Solve -3*y - 3*u + 3 = 0, 102*u - 1 = 2*y + 105*u - 8 for y. -4 Solve 0 = -3*x + 9*p - 14*p + 6, -12*x + 24 = -4*p for x. 2 Solve 4*x - 12 = 4*a, 893*a - 888*a = 9*x - 27 for a. 0 Solve 0 = 4*k - 16*l + 28, 48*l - 35 = 5*k + 52*l for k. -7 Solve -6 = -h - 3*x, -3*x = 3*h - 54 + 24 for h. 12 Solve 48539*a = 3*z + 48543*a - 14, -5*a + 18 = 4*z for z. 2 Solve 0 = 2*c + 2*r - 8, 0 = -5*c + 3*r + 7 + 5 for c. 3 Solve 0 = 4*s - y - 1938 + 1952, s + y - 4 = 0 for s. -2 Solve 16*c + 60 = 12, 5*u + 3*c - 1 = 0 for u. 2 Solve 3 = 4*z - s, -28*z + 26*z + 5*s = -15 for z. 0 Solve 28 = -52*k + 50*k - 4*x, -25 = 5*k + 5*x for k. 4 Solve -3*o + l - 9 = 0, 0*l + 12 = -o - 3*o - 8*l for o. -3 Solve 2*a - 24 = 11*o - 15*o, 2*a + o - 12 = 0 for a. 4 Solve 2*c - q = 0, 0 = 5*c - q + 119 - 122 for c. 1 Solve -17*n + 27 = 3*u - 20*n, -5*n - 27 = -3*u for u. 9 Solve -h + h = 4*h - 5*i, -2*h = 4*i - i for h. 0 Solve -4*n + 3*t = -57, -159 = -8*n + 116*t - 119*t for n. 18 Solve -3*g + 13*a - 41*a + 5 = 0, 28 = 3*g + 5*a for g. 11 Solve 3*a + 2*r - 1 = 0, -314*a - 2*r = -312*a - 2 for a. -1 Solve -10*o - a = 46, 489*o - 484*o - 4*a = -41 for o. -5 Solve 4 - 12 = 5*h - 3*q, 3*q + 4 = -7*h for h. -1 Solve 5*p = -4*z - 55, -87*p + 92*p + 35 = -2*z for z. -10 Solve -3*g - 5*n - 24 = 0, n = -54*g + 49*g - 18 for g. -3 Solve 3*d = 9*q - 698 + 692, -q - 16 = 3*d for q. -1 Solve 3*r - 18 - 29 = 4*u, 5*r - 49 = 4*u for r. 1 Solve -t + 264 = -4*f + 261, -5*f + t = 4 for f. -1 Solve -3*o - 9*n - 1 = -16*n, 2*o = -5*n + 9 for o. 2 Solve 2*k - 132 = -5*m - 128, -4 = -2*m for k. -3 Solve -2254*k + 6 = -2252*k + 5*q, 0 = -3*k - 4*q + 2 for k. -2 Solve -3*i = -4*z + 31, 748*i - z + 9 = 746*i for i. -1 Solve -372*g = 2*x - 377*g - 5, -2*g = 3*x + 21 for x. -5 Solve -3979*x + 3980*x + o = -2, -3*x = 7*o + 2 for x. -3 Solve -3*k - 10 = f, -110*f + 113*f + 15 = -6*k for k. -5 Solve s = 6*n + 25, 0 = 3*s + 5*n - 60 + 100 for s. -5 Solve 0 = 4*p + 24, -25*p = -3*t - 30*p - 42 for t. -4 Solve -170*u + 22 = -4*v - 171*u, 4*u = -v + 2 for v. -6 Solve -4*i = f + 4, -f + 18*i + 24592 = f + 24574 for f. 0 Solve -336*g + 341*g - 8 = -2*z, -2*g + 2*z = -6 for g. 2 Solve n - 5 = -5*l, -12 = -12*l + 325*n - 324*n for l. 1 Solve -7 = -2*g + w, 96 - 76 = 4*g - 4*w for g. 2 Solve 222*c - 204*c - 82 = -4*a, 0 = 3*a - 4*c + 26 for a. -2 Solve -3*j - 11 = 5*s, 0 = 3*s - 5*j - 0 + 27 for s. -4 Solve o = 1075*y - 1079*y + 24, 2*y + o = 14 for y. 5 Solve -37 = -p + 8*c - 15*c, 1014*p = 1018*p - 4*c + 44 for p. -5 Solve 0 = p - 13*h + 50, 3*p + 9*h = 13*h - 10 for p. 2 Solve -a = -2*i + 5102 - 5074, 0 = -2*i + 28 for a. 0 Solve 0 = 2709*k - 2708*k - 2*h - 7, k + 4*h - 1 = 0 for k. 5 Solve -b - 3*v - 2 = 0, -25*v + 29*v = -4*b + 16 for b. 7 Solve 5*r = -x - 28 + 5, 0 = -12*r - 3*x - 57 for r. -4 Solve 3 = -p, 3*n - 37*p + 31*p = 12 + 12 for n. 2 Solve 3*b = 4*k - 24, 2*b - 6 = -29*k + 28*k for b. 0 Solve -13 = 3*n - 2*j, -1 = -0*n + n + j for n. -3 Solve 0 = -2*l - 4*n - 11 - 11, -12 = 2*n for l. 1 Solve 7 = -2*y + 22*c + 145, -3*y - 2*c - 3 = 0 for y. 3 Solve -18 + 8 = -5*h, 4*o + h = -14 for o. -4 Solve -13421*m + 13425*m = k - 1, -6*k + 5*m = 32 for k. -7 Solve -123*y = -3*m - 127*y + 14, m = -2*y + 4 for m. 6 Solve 5*m + 43 = -4*v, -15*m - 437 = -5*v - 512 for m. 1 Solve 0 = -4*p + 4*m + 1496 - 1492, 3*p + 5 = 7*m for p. 3 Solve 4*q + 9 = 3*v, -10*q + 12 = -3*v - 13*q for v. -1 Solve -139 = -3*k - 2*r - 147, -r + 10 = -2*k for k. -4 Solve -3*g = -3, -2*o = -5*o + 20*g - 16*g + 2 for o. 2 Solve 3*p + 129*k + 21 = 126*k, -5*k + 19 = -4*p for p. -6 Solve -651*s + 654*s + 8 = 4*t, -s - 1 = -t for t. 5 Solve i - 139 = 6*u -
{ "pile_set_name": "DM Mathematics" }
95438? 782*n**3 - n**2 + n - 2292 What is the v'th term of 13743, 28256, 42767, 57276, 71783, 86288, 100791? -v**2 + 14516*v - 772 What is the p'th term of 1403, 6627, 11851, 17075? 5224*p - 3821 What is the d'th term of -167133, -334247, -501335, -668385, -835385, -1002323? 2*d**3 + d**2 - 167131*d - 5 What is the w'th term of -62902, -62615, -62332, -62053, -61778? -2*w**2 + 293*w - 63193 What is the h'th term of 97593, 198754, 299915, 401076? 101161*h - 3568 What is the c'th term of 5799, 11441, 16819, 21801, 26255, 30049? -22*c**3 + 5796*c + 25 What is the l'th term of 101656018, 101656019, 101656020? l + 101656017 What is the z'th term of 39254, 38926, 38372, 37586, 36562? -z**3 - 107*z**2 + 39362 What is the w'th term of 32702, 48186, 63670? 15484*w + 17218 What is the q'th term of 5812, 5887, 5964, 6043, 6124? q**2 + 72*q + 5739 What is the k'th term of -47041, -376378, -1270313, -3011152, -5881201, -10162766, -16138153? -47051*k**3 + 7*k**2 - k + 4 What is the q'th term of 81289, 81301, 81323, 81355, 81397? 5*q**2 - 3*q + 81287 What is the y'th term of 274, 1602, 3866, 7108, 11370, 16694, 23122, 30696? 7*y**3 + 426*y**2 + y - 160 What is the t'th term of 1339252071, 1339252069, 1339252067, 1339252065, 1339252063, 1339252061? -2*t + 1339252073 What is the s'th term of -1868210, -3736413, -5604616, -7472819? -1868203*s - 7 What is the v'th term of 7668328, 7668276, 7668224, 7668172, 7668120, 7668068? -52*v + 7668380 What is the j'th term of -1123194, -2246391, -3369584, -4492773, -5615958? 2*j**2 - 1123203*j + 7 What is the u'th term of 12732, 25473, 38288, 51213, 64284, 77537? 6*u**3 + u**2 + 12696*u + 29 What is the j'th term of -1899, -4250, -8185, -13698, -20783, -29434? j**3 - 798*j**2 + 36*j - 1138 What is the d'th term of 82152550, 82152538, 82152524, 82152508? -d**2 - 9*d + 82152560 What is the a'th term of -238219, -476397, -714481, -952423, -1190175, -1427689? 8*a**3 - a**2 - 238231*a + 5 What is the m'th term of -508447, -1016904, -1525361? -508457*m + 10 What is the r'th term of -448021, -896027, -1344033? -448006*r - 15 What is the s'th term of 28874, 57722, 86546, 115346, 144122? -12*s**2 + 28884*s + 2 What is the u'th term of 5198, 10513, 15940, 21485, 27154? u**3 + 50*u**2 + 5158*u - 11 What is the d'th term of -131284, -262461, -393640, -524821, -656004, -787189, -918376? -d**2 - 131174*d - 109 What is the x'th term of 125945, 251993, 378143, 504395, 630749, 757205, 883763? 51*x**2 + 125895*x - 1 What is the s'th term of -3006956, -3006953, -3006950, -3006947, -3006944? 3*s - 3006959 What is the s'th term of 4083, 16701, 37723, 67149, 104979, 151213? 4202*s**2 + 12*s - 131 What is the k'th term of -1755892, -1755813, -1755600, -1755187, -1754508, -1753497, -1752088, -1750215? 11*k**3 + k**2 - k - 1755903 What is the n'th term of -2952, -2882, -2746, -2544, -2276, -1942, -1542? 33*n**2 - 29*n - 2956 What is the i'th term of -60, -101, -36, 213, 724, 1575, 2844, 4609? 13*i**3 - 25*i**2 - 57*i + 9 What is the i'th term of -4793, -39415, -133703, -317489, -620605, -1072883, -1704155, -2544253? -4972*i**3 - i**2 + 185*i - 5 What is the k'th term of 3722546, 3722548, 3722550, 3722552, 3722554? 2*k + 3722544 What is the u'th term of -184658, -369372, -554088, -738806? -u**2 - 184711*u + 54 What is the n'th term of 1217068, 2434168, 3651280, 4868410, 6085564, 7302748, 8519968, 9737230? n**3 + 1217093*n - 26 What is the s'th term of -1784384, -14275006, -48178126, -114199994, -223046860, -385424974? -1784375*s**3 + s**2 - 10 What is the v'th term of -55361, -110725, -166089, -221453? -55364*v + 3 What is the s'th term of -2913, -23356, -78897, -187104, -365545? -2928*s**3 + 19*s**2 - 4*s What is the x'th term of 210, 866, 1588, 2376, 3230, 4150, 5136? 33*x**2 + 557*x - 380 What is the n'th term of 5274794, 5274959, 5275124, 5275289, 5275454, 5275619? 165*n + 5274629 What is the o'th term of -11313, -10221, -7247, -1449, 8115, 22387, 42309? 157*o**3 - o**2 - 4*o - 11465 What is the y'th term of -168, -714, -1700, -3186, -5232, -7898, -11244, -15330? -10*y**3 - 160*y**2 + 4*y - 2 What is the q'th term of -213, -137, 527, 2079, 4819? 50*q**3 - 6*q**2 - 256*q - 1 What is the b'th term of -34160570, -34160561, -34160548, -34160531, -34160510? 2*b**2 + 3*b - 34160575 What is the a'th term of 207927, 415875, 623843, 831831, 1039839, 1247867? 10*a**2 + 207918*a - 1 What is the c'th term of 37413880, 37413881, 37413882? c + 37413879 What is the a'th term of 3773164, 7546340, 11319516, 15092692, 18865868? 3773176*a - 12 What is the s'th term of -584640, -584682, -584722, -584760, -584796? s**2 - 45*s - 584596 What is the u'th term of 4115827, 8231316, 12346805, 16462294, 20577783? 4115489*u + 338 What is the k'th term of -48898, -203217, -460410, -820471, -1283394, -1849173, -2517802, -3289275? k**3 - 51443*k**2 + 3*k + 2541 What is the a'th term of 101053, 404251, 909587, 1617061, 2526673? 101069*a**2 - 9*a - 7 What is the l'th term of -446021616, -446021618, -446021620, -446021622, -446021624? -2*l - 446021614 What is the h'th term of 1123, 3016, 4909, 6802? 1893*h - 770 What is the o'th term of -1433560, -2867095, -4300630, -5734165, -7167700? -1433535*o - 25 What is the b'th term of 55361, 54192, 52237, 49490, 45945, 41596, 36437? -b**3 - 387*b**2 - b + 55750 What is the h'th term of 68, 704, 2562, 6272, 12464, 21768, 34814? 105*h**3 - 19*h**2 - 42*h + 24 What is the a'th term of -9134072, -18268152, -27402218, -36536264, -45670284? a**3 + a**2 - 9134090*a + 16 What is the b'th term of 1633, 3750, 7279, 12220? 706*b**2 - b + 928 What is the k'th term of 24037, 34298, 44559, 54820, 65081? 10261*k + 13776 What is the u'th term of -846, -4663, -15010, -35151, -68350, -117871? -544*u**3 - u**2 - 6*u - 295 What is the b'th term of 54006019, 54006020, 54006021? b + 54006018 What is the a'th term of -11036, -22546, -34554, -47060, -60064, -73566, -87566? -249*a**2 - 10763*a - 24 What is the s'th term of -1717, -2591, -3465? -874*s - 843 What is the b'th term of 349339, 1397319, 3143945, 5589211, 8733111, 12575639, 17116789, 22356555? -b**3 + 349329*b**2 + 11 What is the q'th term of 78586, 157327, 236066, 314803, 393538, 472271? -q**2 + 78744*q - 157 What is the r'th term of 219635, 439270, 658905, 878540, 1098175? 219635*r What is the y'th term of -2271, -1626, -967, -288, 417, 1154? y**3 + y**2 + 635*y - 2908 What is the x'th term of -846088, -1692170, -2538252? -846082*x - 6 What is the w'th term of -1401, -2288, -2951, -3390, -3605, -3596? 112*w**2 - 1223*w - 290 What is the b'th term of 51491, 51189, 50887? -302*b + 51793 What is the c'th term of 862877, 1725864, 2588851? 862987*c - 110 What is the v'th term of 210426, 420696, 630966, 841236, 1051506? 210270*v + 156 What is the c'th term of -102605, -100765, -97697, -93401? 614*c**2 - 2*c - 103217 What is the p'th term of -87780, -87845, -88080, -88569, -89396? -14*p**3 - p**2 + 36*p - 87801 What is the y'th term of -61819, -61657, -61495? 162*y - 61981 What is the h'th term of 269, 1148, 2601, 4628, 7229, 10404, 14153? 287*h**2 + 18*h - 36 What is the t'th term of -2038964, -8155874, -18350730, -32623538, -50974304, -73403034? -t**3 - 2038967*t**2 - 2*t + 6 What is the r'th term of -56128, -111878, -167626, -223366, -279092, -334798, -390478, -446126? r**3 - 5*r**2 - 55742*r - 382 What is the o'th term of 3792675, 7585348, 11378021, 15170694, 18963367? 3792673*o + 2 What is the u'th term of 48553, 50785, 53017, 55249, 57481? 2232*u + 46321 What is the n'th term of -7310, -9553, -13302, -18563, -25342, -33645? -n**3 - 747*n**2 + 5*n - 6567 What is the f'th term of 1180, 9431, 31832, 75457, 147380, 254675, 404416, 603677? 1179*f**3 + f**2 - 5*f + 5 What is the q'th term of -9911, -40303, -91171, -162515? -10238*q**2 + 322*q + 5 What is the i'th term of 2983, 6030, 9223, 12640, 16359, 20458, 25015, 30108? 13*i**3 - 5*i**2 + 2971*i + 4 What is the d'th term of -113073, -452187, -1017329, -1808499, -2825697? -113014*d**2 - 72*d + 13 What is the y'th term of 1001, 1494, 2863, 5546, 9981, 16606, 25859? 73*y**3 - 18*y + 946 What is the s'th term of 53373, 106740, 160103, 213462, 266817? -2*s**2 + 53373*s + 2 What is the j'th term of 352895, 352616, 352329, 352034, 351731? -4*j**2 - 267*j +
{ "pile_set_name": "DM Mathematics" }
4)) + 314/(-8). -40 Calculate 546/1183*(-65)/(-3). 10 Calculate ((-36)/252)/(1/2)*(-14)/6. 2/3 Calculate 8/(448/105) + 1/(-2)*5. -5/8 What is (-24)/(-16) + 3/(-12)*14? -2 What is -17 - (20/55 - (-7)/(-154)*52)? -15 Evaluate (-1)/4*3*(-96)/1116. 2/31 Evaluate (30/(-24))/((-5)/6)*76/(-57). -2 Calculate ((-2)/(-4))/(1/6*(-342)/418). -11/3 Calculate (-3)/(-2)*(86/(-688) - 37/(-168)). 1/7 10*14/(-28) - (-5 - -3 - -11) -14 Calculate ((-18)/20)/(6/4)*25/1. -15 Calculate 25/10*(-12)/(-300) + (-194)/(-60). 10/3 What is 43/387*2/(-4)*8/(-2)? 2/9 What is the value of 1/(-2) - (-1 - 50/(-140))? 1/7 Calculate 9*(-21)/27*36/28. -9 What is the value of 8 + 186/(-24) - (-129)/12? 11 Calculate (15 - (20 - (1 + 6)))/((-2)/(-11)). 11 What is (-23 + 23892/1034)*2/(-5)? -2/47 15/(-6)*(-54)/1215*99 11 (-4)/10 + 845/(-325) + 3 0 Evaluate ((-266)/(-114))/(-2 - 11/(-6)). -14 (-5 - -7)*10/(-20)*13 -13 What is the value of 5/20*-1*220/(-5)? 11 What is the value of 9/((-8)/(-64)*120)? 3/5 Evaluate (1/(-26))/(3/18 - (-52)/156). -1/13 Evaluate 14/(-4)*(-49 + 51) + (-128)/(-18). 1/9 Evaluate (-4)/(-18) - 168/189. -2/3 (1634/860 - 1/2) + -1*3 -8/5 ((-1)/((4/(-6))/(-1)))/(798/2128) -4 Evaluate (-14)/(-8) - 7/1764*369. 2/7 What is the value of 4*7/(-28) + ((-189)/28 - -6)? -7/4 What is (-25)/20 + (-396)/(-880)? -4/5 Calculate ((-56)/(-12))/(308/1386). 21 What is the value of 40/4 - (18 + -16)? 8 What is (-1)/((-5)/2)*30/(-42)? -2/7 Evaluate 78227/3997 - (-19)/(-1). 4/7 -16 + ((-11220)/(-289) - 23) -3/17 What is the value of (-22)/(-840)*(-14 - 2) - (-4)/14? -2/15 What is 1/(42/17) - 384/672? -1/6 Calculate -31 + 136160/4170 + 22/(-6) + 2. -2/139 (-6)/5 - (-4)/8*34/85 -1 Evaluate (-32)/208*2184/(-16). 21 What is -1 + 16 - (-11)/(1452/(-1908))? 6/11 (21/(-3) + 4)*(-9)/(-243) -1/9 13520/(-16900) + 1 + (-169)/(-5) 34 What is (-9062)/644 - 2/(-28)? -14 What is the value of (-1)/(-6) - 14476/(-1848)? 8 Calculate 2*((-24)/42 - ((-165)/63)/5). -2/21 What is (5*2)/(-2) + -2*144/(-32)? 4 8676/2410 - 2*(-1)/5 4 What is ((-459)/21)/3 - (329/49 - 7)? -7 What is -1*(6 - 11)*1 + 9/(-2)? 1/2 What is 16/(-2) - (152 + -142 + -2*1)? -16 Calculate (80/40)/(-7 + 6). -2 What is 15 + (((-54)/4)/1 - -1)? 5/2 What is the value of ((-93)/(-310))/((-13)/((-325)/(-60)))? -1/8 What is ((-450)/(-30))/(42/(-70))? -25 Calculate -14*(1305/(-58) - -21). 21 What is (-1 - 0) + 24/(190/19 + -12)? -13 Evaluate 590 + -577 - (-22 + 2). 33 What is the value of (-10 + 4)/((-88)/(-8))? -6/11 What is the value of -17 + ((-20)/(-6))/((-10)/(-12))? -13 What is (-1)/(-1*8/(-16) + (-370)/780)? -39 Calculate (8/(1280/296) - 3/(-4)) + -2. 3/5 What is the value of 99/(-93) + 52/806? -1 What is (-30)/(-3)*(174/(-30) + 6)? 2 What is 3/(-12) - -8*135/(-160)? -7 (-12)/(-1) + (-14528)/1216 1/19 What is the value of ((-3260)/2445)/(2*(-2)/9)? 3 (6/(-10))/(-10 + 17 + 4913/(-680)) 8/3 What is the value of 0 + (17 - 14) - (11 - 1)/(-2)? 8 Evaluate (88/(-132))/(-3*(3 + -1)). 1/9 What is 1809/(-1206)*(-12)/(-27)? -2/3 What is ((-2)/12 - (-140)/(-240))/3? -1/4 Evaluate (27/(-6))/3*60/6. -15 What is 1/1*(-16)/(-18)*9/(-30)? -4/15 What is 8 + -13 - (-8 + 8) - (-1 - 8)? 4 ((-38)/114)/(16/36 - 0) -3/4 What is ((2*3 + (-231)/42)*0)/1? 0 What is the value of (8547/(-1036))/(54/16)? -22/9 What is (1060/(-2385))/((-21)/9 - -1)? 1/3 What is the value of (-8)/(-14) + (1240/60)/(602/(-18))? -2/43 ((-38)/(-12) + 1)/(40/32) 10/3 What is the value of (-1*1)/(8/(0 - -80)*-2)? 5 What is (4/30)/((-36)/24*(-192)/(-648))? -3/10 What is the value of ((-9)/5)/((-52)/(-80)) + -2 + 5? 3/13 (-14)/(-3) + 6222/(-612) -11/2 What is the value of (1 + 5)*3/(-2)*33/99? -3 Evaluate (407/33 + -13)*3. -2 Evaluate -5*(0 - -3)*46/(-575). 6/5 Calculate (2/(-4 - 14))/((-5)/(-4) - 1). -4/9 (-1 - (42 + -48)) + (-50)/8 -5/4 Evaluate (0 - -20)*((-5920)/200)/(-37). 16 Evaluate ((-7)/(-2) + 0)/(((-21)/6)/7). -7 What is 454/(-516) - (2 + (-935)/330)? -2/43 Evaluate ((-6)/4 - (-165)/(-66))*(-14)/(-154). -4/11 Evaluate 3/((-75)/(-100)*(-2)/3) + 24. 18 Evaluate (275/90 + -3)/(160/24 - 7). -1/6 What is the value of (1/(-9))/(43/129)? -1/3 (-7)/(-56)*-4*-7*(-22)/231 -1/3 What is the value of 1 + 4 + (-1513)/267? -2/3 What is the value of 4/3*(88/8 + -17)? -8 What is the value of (-42)/(-15)*(-2150)/(-1505)? 4 Calculate (8/(-14))/(1030/721). -2/5 ((-11)/2 + -2)*600/500 -9 What is (-524 + 520)/(10/3)? -6/5 What is the value of 131/(83447/294) + 766/(-26)? -29 Evaluate ((-39)/(-52) + (-470)/200)/(-8). 1/5 Evaluate (-3)/3 + (-207)/(-345). -2/5 What is the value of (-100452)/20547*18/4? -22 ((1/2)/(325/100))/((-864)/(-936)) 1/6 Calculate (-75)/(-9) - (-56)/(-42) - 19. -12 Evaluate ((-9)/12)/((54/(-12) + 3)*5). 1/10 Evaluate (-12)/(-186) + (-50785)/(-3255) + -15. 2/3 (100/20 - -4) + 5*1 14 Evaluate (-308)/110*5/1. -14 What is the value of ((-10)/(-15))/(2/(-6)) - (0 + 10)? -12 What is the value of 12/(-28*2/(-28))? 6 (-4)/10 + (99/70)/(90/105) 5/4 Calculate (-16 + 2684/154)/(20/7 + -2). 5/3 What is (-6048)/720 + (-6)/(-15)? -8 What is the value of ((12/(-70))/((-603)/9849))/(2/10)? 14 What is -2 - 60/(-33) - (-24 + 146500/6160)? 1/28 22*3/(-306) + 242/(-2057) -1/3 What is -6 + (0 - -3) + (-5 - (-10 + 2))? 0 What is the value of ((-1)/(-5))/(1629/(-905))? -1/9 Evaluate 23 - (24/16 - (1 - (-44)/(-8))). 17 (-306)/(-36)*(-192)/272 -6 What is the value of (60/(-25))/(52/(-195))? 9 (322/828)/((-35)/(-40)) 4/9 (-280)/(-160)*(-21)/(-49) 3/4 What is 3/(-4)*((-3)/(-2) + (-1008)/(-96))? -9 Evaluate 22/11*(6 + -11) - (24 - 19). -15 Evaluate (500/60 - 8)/((-13)/(-12)). 4/13 Evaluate (((-6)/20)/((-5)/25))/((-54)/288). -8 What is the value of ((-35)/(-765))/((-49)/(-42))? 2/51 What is the value of ((-2)/(-30))/((-2108)/(-153) - 14)? -3/10 Calculate (-2478)/9086*(-20)/6. 10/11 What is (1 - 3 - (-208)/108)/((-1846)/(-2769))? -1/9 Evaluate (1/4)/((-57)/1368). -6 Evaluate (258/(-86))/(4 - 1/(-2)). -2/3 Calculate (2210/(-225))/17 - (-16)/20. 2/9 What is the value of 4 - (888/104 + -5)? 6/13 What is ((-3)/21)/(9/(-21))? 1/3 (144/756*(-3)/4)/(3 + -2) -1/7 18/(-24)*(-88)/1089 2/33 -9 + (-1185)/(-316)*((-7)/(-3) - 1) -4 What is ((-8)/10)/2*(-45 + 4440/48)? -19 What is (3/36)/1 - (-3 - 50704/(-16320))? -2/85 What is the value of (6/24)/((-626)/104 - -6)? -13 What is the value of 1075/(-75) - 4/(-12)? -14 What is the value of (22 + 18)*(-4)/8? -20 Evaluate 7 + 26 + (-25347)/781. 6/11 What is (-6266)/(-208) + 38 + -68? 1/8 Evaluate (1 - 0)*(-36 - (-48 + 13)). -1 What is (16 - 639/45)/3? 3/5 Calculate ((5 - -4)/(-9) - 5) + 8. 2 Calculate ((0 - 3) + 2)*3*(-4)/(-108). -1/9 What is the value of 4/(5/((-10)/(-12))) + (-770)/(-1320)? 5/4 What is the value of 40/44*(-340)/(-1700)? 2/11 Evaluate (-2 + 4)*(-38)/(-4) + (1 - 6). 14 What is (-1 - 504/(-224))/(35/24)? 6/7 Calculate (-5)/(-5 + 80)*470/(-1128). 1/36 What is the value of 321/45 + 2 + (-14 - 1248/(-90))? 9 Calculate (-33)/(-8)*770/165 + (-2)/8. 19 What is the value of 3 + -7 - (-8)/(5 + 3)? -3 Evaluate (7 - (-5 + 13))*-3. 3 Evaluate (-68)/8 + -1 + 110/20 + -4. -8 214/16 - (44 + -31) 3/8 What is the value of 0/2*(-18)/(-13 - 5) - 16? -16 What is (162/189)/((-6)/(-28)) + -4? 0 Evaluate 75/45*12/(-40)*-8. 4 What is (-7 - (-1070)/150)/((-12)/15)? -1/6 What is the value of -1 + -1 + (-1300)/(-625)? 2/25 What is the value of 125/50*252/(-90)? -7 What is (-100)/640*-16*(-24)/10? -6 Calculate 6 + (509 - 29)/(-20). -18 Evaluate 9 + (255/65 - (-103)/1339). 13 Evaluate (16 + -30 + -2)/2. -8 What is the value of ((-225)/3420)/((-6)/(-8))*(-6)/15? 2/57 (-1)/2*(-15)/(-18 - -3) -1/2 What is (-66)/(-8) + 189/924 + 6/11? 9 -18*(1806/(-180) - -10) + (-27)/(-5) 6 5925/948 - ((-1)/1 + 7) 1/4 ((-2)/10)/(238/68)*-15 6/7 Calculate ((-1)/7)/(53/318). -6/7 ((-440)/330)/(6/(-18)) 4 294/2254*(-1 - (-2)/6) -2/23 What is the value of -11 - (-44)/11 - (-30)/(-10)? -10 Calculate 7 + (-4915)/665 + 4/14. -2/19 Evaluate 5*8/6*(-23)/((-1104)/72). 10 Calculate -53 + 42 + -15 + 32. 6 What is (-13)/57 - ((-72)/54)/4? 2/19 What is the value of 432/(-44) - (5 - 4)/(132/24)? -10 31/651*63*2/3*13 26 What is (-36 - (-2745)/75)/(2 - 28/(-10))? 1/8 What is the value of ((-33)/77)/(4131/(-378))? 2/51 What is the value of (-608)/95 + (108/(-30))/(-9)? -6 Calculate 5/((-14)/(-154)*-11). -5 What is (-900)/(-500)
{ "pile_set_name": "DM Mathematics" }
when g is divided by 139? 127 Let i(j) = -3*j + 62. What is the remainder when 237 is divided by i(-2)? 33 Let f(z) = -1022*z - 13272. What is the remainder when 1576 is divided by f(-13)? 8 Let a(d) = 50*d + 401*d + 3*d. Let r be a(-1). What is the remainder when (-6)/45 + r/(-30) is divided by 8? 7 Let l(g) = -g**3 - 14*g**2 - 24*g + 4. Let y be l(-12). Suppose 333 = -u + y. What is the remainder when (-4)/(-9) - u/9 is divided by 22? 15 Let h = -17050 - -17207. Calculate the remainder when 5022 is divided by h. 155 Let f = 14 + -13. What is the remainder when 2 - (-3135)/152 - 3/(-8) is divided by (-5)/(15/(-9)) + f? 3 Let o = 11 - 245. Let v = o + 260. What is the remainder when v is divided by 19? 7 Suppose -430*d - 567 = -457*d. Calculate the remainder when 1803 is divided by d. 18 Let f be ((-2)/(-3)*21)/(-2). Let d(j) = j**3 + 8*j**2 - 7. What is the remainder when d(f) is divided by (-1 - (-50)/4)*(21 - (21 + -2))? 19 Let d = -1066 - -1865. Calculate the remainder when d is divided by 207. 178 Suppose 196*b = 195*b - 78. Calculate the remainder when 65 is divided by 52/3 + (-52)/b. 11 Suppose -5*o = -3*a - 359, 2*o + 140*a = 144*a + 152. Suppose 0 = 5*c - 3*c + 58. Let j = 67 + c. What is the remainder when o is divided by j? 32 What is the remainder when (-42)/(-6 - -8*6/9) is divided by 5? 3 Let h = 12789 - 12708. Calculate the remainder when h is divided by 37. 7 Suppose 4*s = -11*u + 10*u + 12, 5*u - s - 18 = 0. Suppose 0 = 2*b - 8, 2*t = 6*t + 5*b - 60. Calculate the remainder when t is divided by u. 2 Suppose q + 492 = 4*g, -149 = -2*g - 5*q + 119. Let d = -77 + g. What is the remainder when 90 is divided by d? 43 Suppose 65 = b - 2*k, -3*b = b + 4*k - 308. Let a(h) = -h**3 + 120*h + 22. What is the remainder when b is divided by a(11)? 7 Suppose -2559 = -13*f + 795. What is the remainder when f is divided by 29? 26 Suppose 0 = -2*u - 4*d + 128, 3 = 4*d - 5. Suppose 0 = 5*r - 20 - u. Let m(t) = 16*t - 1. Calculate the remainder when m(4) is divided by r. 15 What is the remainder when ((-520)/(-80) + (-2 - 8))/((-1)/38) is divided by 122? 11 Suppose 2*m - 111 = -3*n, 5*n + 105 = 4*m - 128. What is the remainder when m/(-285)*(-1 - 994) is divided by 29? 25 Calculate the remainder when 738 is divided by -4*((-31)/4 + 7). 0 Calculate the remainder when 663 is divided by (-1)/18 + 803/198. 3 Let o(w) be the third derivative of 5*w**4/8 + 463*w**3/6 + 121*w**2. What is the remainder when o(0) is divided by 15? 13 Let p(q) = q**3 + 8*q**2 - 3*q - 23. Let f be p(-8). Suppose -v = -56 - 6. Calculate the remainder when v is divided by 21/7 - (-4)/f. 6 Suppose -11*c = -15*c - q + 70, -7*q = 3*c - 40. What is the remainder when 1034 is divided by c? 8 Let d(v) be the first derivative of -11*v**4/2 + v**3/3 + v**2 - 28. Let y be d(-1). Let n = y - 1. Calculate the remainder when n is divided by 9. 2 Let b = -1285 + 1297. Calculate the remainder when 48 is divided by b. 0 Let l(t) = 2*t**2 + 7*t - 110. What is the remainder when l(-29) is divided by 273? 4 Let r(w) = -2*w**2 - 60*w - 345. What is the remainder when 4196 is divided by r(-15)? 101 Let s(d) = 46*d**2 - 19*d - 3. What is the remainder when 1161 is divided by s(1)? 9 Suppose 1722*p - 400 = 1697*p. What is the remainder when 2988 is divided by p? 12 Let d(y) = 2*y**2 - 21*y - 33. Let n be d(12). Suppose -a = 2*w - 63, -a - n*w + 21 + 38 = 0. What is the remainder when a is divided by 9? 8 Let c = 55 + -53. Let w(o) = -9 + 4*o**2 - 7*o - 2*o**2 + o**2 + o**c. Calculate the remainder when 75 is divided by w(-2). 12 Suppose 9*i + 124818 - 127383 = 0. What is the remainder when 855 is divided by i? 0 Calculate the remainder when (128/40)/4*(4154/4 + -1) is divided by 13. 11 Let o(a) = a**3 + a**2 - 15*a + 10. Let f be o(4). Suppose f*s - 65 = 25*s. Calculate the remainder when 297 is divided by s. 11 Suppose 425*p + 5440 = 510*p. Calculate the remainder when 4931 is divided by p. 3 Let y(o) = 3*o**2 - 14*o - 20. Let h be y(3). Suppose -4*a = -a - 9. What is the remainder when (-3)/5 + (-721)/h is divided by a? 2 Let p be 100 + (-36)/4 + 13. Suppose 6*b = 338 - p. Calculate the remainder when 504 is divided by b. 36 Suppose 12592 = 14*u + 12340. Calculate the remainder when 808 is divided by u. 16 Suppose 5*j - 255 = -50. Calculate the remainder when 1092/5 + 25 - (-3 - (-51)/15) is divided by j. 38 Suppose -57 = 257*i - 258*i. What is the remainder when (15/45)/(1/i) is divided by 34/8 + (-1)/4? 3 Let s = 16 - 12. Let g be (1 + 10/(-4))/(3/(-54)). Suppose -37 = -2*y + 3*u, g = -4*y + 3*u + 110. Calculate the remainder when y is divided by s. 3 What is the remainder when 2373 is divided by -103 + 122 + 1*3? 19 Calculate the remainder when 1899 is divided by (-207)/621 - 266/(-6). 7 Let m = -835 + 838. Suppose 4*b + 3*l - 60 = 0, m*b - 24 - 46 = 4*l. Calculate the remainder when 249 is divided by b. 15 Calculate the remainder when (-15883)/(-2)*(12 - (-1950)/(-175)) is divided by 148. 147 Let z = -19987 - -20058. What is the remainder when z is divided by 57? 14 Let j = -28 - -7. Let i = j + 37. Let v = 722 + -682. What is the remainder when v is divided by i? 8 Suppose -92 = s + 5*s - 164. Suppose 9 = -o - 4. Let d = o + 60. What is the remainder when d is divided by s? 11 Let y = -52 - -55. Suppose -r = -0*r - y. Calculate the remainder when 112 is divided by r. 1 Suppose -606*u + 7686 = -423*u. Calculate the remainder when u is divided by 131/7 + (-2)/(-7). 4 Let t(p) = 6*p - 4. Suppose 25065 = 786*o - 33885. What is the remainder when o is divided by t(6)? 11 Suppose 220*t + 882 = 4402. What is the remainder when t is divided by 1? 0 Let x(l) = 46*l + 1. Suppose -w + 2*u + 10 = 0, -w - 4 + 22 = -4*u. Calculate the remainder when x(1) is divided by w. 1 Let d = 15 + -18. Let p = 24 + 19. Calculate the remainder when p is divided by ((-90)/24)/(d/12). 13 Let o = -196 - -353. Calculate the remainder when 8004 is divided by o. 154 Suppose l = 4*n - 1 - 3, 3*l + 4*n - 52 = 0. Let t(v) = v**3 - 12*v**2 + 2*v - 17. What is the remainder when 21 is divided by t(l)? 0 Calculate the remainder when 1007 is divided by 18/765*17*70. 27 Let h(v) = 2*v**2 + 6*v - 13. Let k be h(-7). Suppose 0 = -2*l + y + k, 0 = -2*l + 3*l - 4*y - 18. Calculate the remainder when 39 is divided by l. 17 Let k(d) = -d**3 - 7*d**2 - 6*d + 7. Suppose -50*l - 4*f - 1950 = -55*l, 0 = -3*f - 15. What is the remainder when l is divided by k(-7)? 43 Let f(j) = 59*j - 3. Let q be (2/(5 + -1))/((-53)/(-106)). Calculate the remainder when f(q) is divided by 20. 16 Suppose -2*v = v - 15, 2*v = c + 19. Let a(t) = t**3 + 11*t**2 + 11*t + 21. What is the remainder when a(c) is divided by 44? 40 Let r(z) = -31*z + 425. Calculate the remainder when r(-25) is divided by 31. 22 Let i(l) be the third derivative of -l**6/120 + l**5/60 - l**4/24 + 17*l**3 - 2*l**2 - 21*l. What is the remainder when i(0) is divided by 26? 24 Let i = -243 - -300. Suppose -4*z + i = -3*h, 0*z + 3*h - 33 = -2*z. What is the remainder when 53 is divided by z? 8 Let x(q) be the second derivative of -5*q**3/6 + 15*q**2 - 4*q + 7. What is the remainder when 417 is divided by x(-6)? 57 Suppose -5*r + 4*h = -2522, 5*r = -4*h + 165 + 2413. Calculate the remainder when r is divided by 130. 120 Let v(w) = 3*w**2 + 3*w + 2. Suppose 3*g - 6*g - 6 = 0. Let p be v(g). What is the remainder when (112/p)/(3*2/27) is divided by 13? 11 Suppose 22*a + 1525 = 47*a. Let f(j) = 6*j - 34 - 4*j - 5*j. Calculate the remainder when a is divided by f(-14). 5 Suppose -4*j = -3*r - 1140, 5*j = 43*r - 45*r + 1448. Calculate the remainder when j is divided by 21. 15 Let h(k) = 6*k**2 + 421*k - 983. What is the remainder when 13412 is divided by h(-73)? 254 Suppose 4*x - x - 336 = -3*z, 2*x + 124 = z. Suppose 0 = -z*w + 126*w - 1510. Calculate the remainder when w is divided by 31. 27 Let d(h) = -2*h**2 - 6*h - 2*h**3 + 9*h**2 + 3 + h**3. Calculate the remainder when d(4) is divided by -14*176/(-224) - -6. 10 Let z = 285 + -283. What is the remainder when (3/z)/((-12)/(-344)) is divided by 10? 3 What is the remainder when 88 is divided by (-779)/38*(0 - 2)? 6 Let m(d) = 451*d - 1790. Let b = 70 - -13. Calculate the remainder when b is divided by m(4). 13 Let i be ((-3)/2 - -2)/((-3
{ "pile_set_name": "DM Mathematics" }
) + -1 - (-7)/63*4? 4 (8 + (-10 - -3))*((-102)/(-36))/(-17) -1/6 7/((-66)/(-6) + -12) -7 What is the value of ((-4)/15)/((-74)/185) - 289/51? -5 94/(-564)*(-816)/8 17 What is (1 - 0) + (-805)/851? 2/37 Evaluate 180/54*(-46)/(-10) - 1/3. 15 What is the value of (-4 - 0) + 6 - 42/63? 4/3 Calculate 213/(-1320) - (-32)/880. -1/8 Calculate -1*(12 - 226/19). -2/19 What is 780/(-1218) + ((-354)/(-87) - 4)? -4/7 (16/5 + -2)*-8*100/160 -6 Evaluate (-2)/(-24)*(-588)/(-343). 1/7 Calculate (-796)/4776 + (38/(-15))/((-8)/10). 3 What is (-60)/9 + 4 + -19 + 25? 10/3 Evaluate (7 - 71)/(-16)*(-2)/28. -2/7 Calculate (10205/(-16328))/((-2)/4). 5/4 What is the value of ((-78)/585)/(284/(-100) + 3)? -5/6 Calculate (16/(-80))/((-5)/(-275)). -11 Evaluate (4/(-310))/(845/4225). -2/31 Calculate 5/(-45) - (-13209)/32130. 3/10 What is the value of ((-55)/(-132)*21 + -6)*(2 - -2)? 11 What is ((-5 - -3)/(-1))/((-1995)/95)? -2/21 What is (-10)/(-68)*8/((-4)/(-36)*30)? 6/17 Calculate -28 + (-1)/((18/(-66))/3). -17 What is 198/(-429)*-26 + -30? -18 (2/3)/((-200)/4950) - 27/(-18) -15 Evaluate -1 + ((-3)/(-6) + 3 - (-32 + 32)). 5/2 What is the value of 14 + (-77)/(-44)*-16? -14 What is ((-111)/1443)/(2/(4/1))? -2/13 Calculate 2*(-13 - ((-189)/14 + 8)). -15 Evaluate (16 - (-168)/((-72)/6)) + 4/(-6). 4/3 3/(-63) + (-2125)/(-525) 4 (6/(-9) - (-8)/30)*3550/(-568) 5/2 Evaluate 90/(-1125) - (-1131)/75. 15 Calculate 154/(1 - -6)*(12/8 - 1). 11 What is -5*(-9)/(-9) - (38/(-8) + 1)? -5/4 Calculate (1 - 9/5)/(10092/1015 - 10). 14 Evaluate ((-3834)/568)/(6/(-8)). 9 Calculate (-5)/(-10)*((4 - 5) + 11/(-5)). -8/5 (43/172)/(3/36) 3 Evaluate (-10 - 144/(-14)) + 60/(-14) + 29. 25 (1 - -15*16/(-200))/((-16)/(-10)) -1/8 Evaluate 84/15*(-40)/(-14). 16 Calculate (-4)/(-108)*90/20. 1/6 Calculate ((-1102)/133 - -8)/(1/(-49)). 14 (-40)/(-14) + (-59)/(-413) 3 What is 54*(4/10)/((-24)/30)? -27 Calculate (1*3)/(-194 - -197 - 0/(-1)). 1 Evaluate 66/(-990)*(-90)/318. 1/53 Calculate ((-1530)/153)/(2/(-12)*-3). -20 What is the value of 57/(-76) - 255/(-20)? 12 (-33 + 1)*(-26)/52 16 Evaluate ((-120)/140)/(3/(-28)). 8 What is (981/(-198) + 5)*31/31? 1/22 What is the value of (12/24)/((-6)/(-30))*-12? -30 Evaluate -7 + -8*24/(-27). 1/9 What is the value of (-3)/(-2) + (-31)/(-27 - 35) + 26? 28 Evaluate (-116)/32 - -4 - (-77)/264. 2/3 Evaluate (4/94)/(-49 + 50). 2/47 Calculate (-88)/39*(-3)/18 - 2228/10026. 2/13 Evaluate (-3 + (-20)/(-8))/((-404)/(-505)). -5/8 What is the value of (-3 - -13) + 2 + (-1928)/160? -1/20 What is the value of 20 + 470/(-55) + ((-552)/(-44) - 12)? 12 What is the value of -7 - (-43 + 1) - 9/1? 26 What is the value of -4*((-472)/(-40) - 11 - 249/30)? 30 What is -14 - (9 + 24 - 31)? -16 What is (-100)/6 + 238/42 + -6 + 5? -12 7 + -14 - -8 - (2 + (-14)/10) 2/5 What is -6 - (10 + -14) - 25/(625/(-90))? 8/5 Evaluate 61/4 - (-2700)/3600. 16 Evaluate (18/2)/(114/(-190)) + -15. -30 Calculate (-1)/(-2)*(172/(-129))/((-4)/9). 3/2 What is the value of (-75)/375*(1/(-2) - (-1)/(-3))? 1/6 Calculate -6 - -4 - 0/(-1 - 6). -2 What is the value of ((-26)/5)/(21 - 107/5) + -1? 12 What is (13/(208/(-56)))/((-29)/116)? 14 What is (-21)/(-5) + -9*(-6)/(-18)? 6/5 What is the value of 19*(-68)/131138*-7? 2/29 Evaluate (-310)/(-16) - (180/(-432))/((-40)/36). 19 1288/(-98) + 52/4 -1/7 (-52)/8*72/(-234) 2 Evaluate (15/(-100)*45)/(12/(-16)) - -12. 21 What is the value of (-3 + (-6*14)/(-7))*(-130)/(-39)? 30 Calculate (-17)/(28900/(-2225)) + 15/(-12). 1/17 Calculate -145*(-4)/20 - (-54)/(-6). 20 What is (8/9)/(102/1377)? 12 What is ((-725)/(-435))/(10/(-8))*(-6)/(-4)? -2 What is the value of (7 - (-156)/(-18))*11/(44/(-24))? 10 (-14)/35*(-1)/(-24)*-10 1/6 Calculate (-72)/(-60)*(68/(-12) - -5). -4/5 What is the value of (-1)/(605/99 + -6)? -9 What is the value of (-97090)/4655 - 1/((-7)/6)? -20 Calculate (-65)/(-78)*1*(7 + -5). 5/3 Evaluate 4*2*476/55216. 2/29 48/(-210) - (8 - (-83)/(-10)) 1/14 Calculate (-12)/15*75/90. -2/3 Calculate (-408)/(-1053) + 546/(-1183). -2/27 What is (8 + -11 - 6) + (296/30 - 1)? -2/15 What is the value of ((-4)/(-78)*-4)/((-244)/183)? 2/13 What is the value of 1 + 48*(-7)/350? 1/25 What is (-8)/(-192) - 475/(-10488)? 2/23 What is ((-54)/(-45))/(87/290)? 4 Calculate (-7)/(-1) - 52/260*90. -11 What is (39 + -12)*6/(-9)*2/4? -9 What is the value of 12/15*(-183)/(-244)? 3/5 -6 + 7 + 15 + -6 10 (138/1012 - (-93)/(-198))/(2/84) -14 What is the value of ((-5)/(-10))/(1/(-10))? -5 What is the value of -15 - (160/18)/(8/(-36))? 25 What is 12/(-63)*(66 - 1)*(-144)/480? 26/7 What is the value of (((-4)/(-4))/(-50))/((-7)/(-14))? -1/25 Calculate -5*(-5*(-3)/20)/(120/(-64)). 2 Calculate 16*((-11)/198 + (-16)/36). -8 Calculate 90/17*588/(-1470) - (-4)/34. -2 What is the value of (-44)/(-8) + (1/(-2))/((-16)/(-224))? -3/2 What is the value of ((-14)/(168/(-18)))/(-2*15/40)? -2 ((-18)/(-20)*(-8)/6)/((-190)/2375) 15 What is 0 + -5 + 4 - 156/(-148)? 2/37 Calculate (2/8)/(1/6)*64/(-48). -2 What is 16/(-12)*(-21)/(-14)*80/20? -8 Calculate (-152 - -151)*(4 - -9). -13 What is the value of ((315/(-20) + 15)/((-2)/96))/2? 18 What is 7/35*(-20 + 14 - (1 + -4))? -3/5 What is ((-3)/(-6))/((-192)/(-768))? 2 1/2*(2 - -1)/(117/(-2418)) -31 Evaluate (-50)/12 + (19 - 1) + 38 + -52. -1/6 What is the value of ((-158079)/174)/23 + (-14)/(-4)? -36 Calculate (-684)/4488 - (-3)/((-231)/(-14)). 1/34 Calculate -66 + 30740/477 - ((0 - -1) + -3). 4/9 Evaluate 6/22 - (3338/(-506) - (58 - 65)). -3/23 4 + (552/(-132) - 1/((-11)/2)) 0 Evaluate (3201/(-198) + 16)*8/26. -2/39 318/(-689) - 696/(-1170) 2/15 What is -7 + (25 - 77 - -28)? -31 What is the value of (-24)/(-747)*(594/495)/(8/(-5))? -2/83 What is -16*(351/18)/13? -24 Calculate (753/(-2259))/(1/(-72)). 24 Calculate 40/(-14) + (-2144)/(-1876). -12/7 (1/(-4))/(177/708) -1 Calculate 255/2380 - (-306)/280. 6/5 2/(-105) + 128960/3352650 2/103 What is (12/(-126))/((-6)/7)? 1/9 Calculate (-8 + 1896/238)/(((-12)/(-14))/(-1)). 2/51 ((324/24)/27)/(-1 - -2) 1/2 What is the value of -1 + 2/10 - (-44224)/3455? 12 What is (-4 + 2)*10 + 23/((-23)/(-8))? -12 Calculate (6 - (-225)/(-35))*16/24. -2/7 (-2)/(-1)*5198/(-452) -23 Calculate -76 + (-604)/(-8) + (-106)/(-204). 1/51 Calculate (15 - (-200)/(-8))*1*(0 + -1). 10 Calculate (-3900)/(-1820) + (-764)/350. -1/25 What is the value of 2*(-410)/(-123)*9*(-6)/45? -8 Evaluate (55/(715/156))/8. 3/2 What is the value of (-1 + (-19)/(-25))*4515/3612? -3/10 Calculate ((-328)/20 - -21) + (0 - 5). -2/5 What is the value of (-3)/(198/8)*77/((-3850)/75)? 2/11 What is the value of ((-108)/(-405))/(-1 - (-51)/45)? 2 Evaluate (-6)/4 - ((-2460)/656 + (3 - 1)). 1/4 Calculate 0 + 805/(-46) + 16. -3/2 2*((-36)/252)/(2/(-7)) 1 What is (82/(-697))/((-1)/289)? 34 0 - (1 + -2)/((-14 - 9)/(-207)) 9 What is the value of ((-51)/(-51))/((3/12)/(-1))? -4 What is the value of -3 + (-26)/936*-136? 7/9 (-2600)/(-720) - (10/4 + 1) 1/9 Evaluate (152/3724)/(8/(-28)) + 450/14. 32 What is the value of (-84)/(-56) + 45*(-6)/72? -9/4 Evaluate 11 - (6480/465 + -10) - (1 + 6). 2/31 Calculate (-20)/2*((-16)/(-160))/(-1). 1 What is (1 - 49)*1408/(-2464)*7/(-8)? -24 Calculate 77*(-3)/168*-2. 11/4 What is the value of 7 - (18 - (-22 - -11))? -22 Evaluate ((-182)/(-189))/(-13) - 1/((-243)/(-9459)). -39 Calculate 1/((-28)/2744*7). -14 What is (-14964)/(-957) + 2*-8? -4/11 Calculate 737/(-201)*10/11. -10/3 Evaluate (-10 - 48/(-24))*(-3 + 2). 8 What is (47/15 + (-4 - -1))/((-5)/3)? -2/25 ((1 + -7)/(2 + -1))/((-105)/(-210)) -12 Calculate 328/(-280) + 1 + (-9)/21. -3/5 Evaluate (-334)/30 - (-11)/(-825)*-10. -11 What is the value of (-2450)/(-1575) + ((-66)/(-27) - 2)? 2 What is ((-19343)/552 + 2/48)/((-10)/4)? 14 Calculate (270/25 - 5) + -17 + -7 + 17. -6/5 (-19)/(38/10) - -7 2 ((-14)/6)/((-210)/(-540)) -6 2/4 - 1505/4214 1/7 (-1078)/1287 - (-664)/1079 -2/9 ((-11840)/(-200) - 42) + (-12)/10 16 What is 1110/(-444)*(2 + 196/(-100))? -1/10 Evaluate (30/852)/(440/(-352)). -2/71 Calculate (2 + (-22)/(-6))*(6 - (-77)/(-11)). -17/3 Calculate (-466)/(-66) + -20 + 13. 2/33 Calculate (-56)/(-30) + -2 + 4674/7380. 1/2 Calculate (60/90 + (-2)/(96/14))/(-1). -3/8 (36/81)/((-1)/3) + 280/84 2 Evaluate 5/(-10)*3*1/(-6). 1/4 Evaluate (-16)/6*606/6868. -4/17 Evaluate -65*(-22)/286 + 12. 17 Calculate -50
{ "pile_set_name": "DM Mathematics" }
e -4*y = 487 - 499 for y. 3 Solve g = -4 - 1 for g. -5 Solve -2*w + 8 = 10 for w. -1 Solve -111 = -5*l - 111 for l. 0 Solve 2*y = 11*y + 18 for y. -2 Solve 0 = -27*c + 25 + 29 for c. 2 Solve -105*z + 76*z - 29 = 0 for z. -1 Solve 0 = 15*j - 5*j for j. 0 Solve -18*a + 16 = -22*a for a. -4 Solve -16*k + 18*k = -4 for k. -2 Solve 0 = 35*b - 36*b + 5 for b. 5 Solve 14*b - 5*b = 18 for b. 2 Solve -7*u = -4*u for u. 0 Solve 3519 = -16*s + 3455 for s. -4 Solve 2*v - 3 = -9 for v. -3 Solve -7 = -12*n - 43 for n. -3 Solve 18 = 4*i + 2*i for i. 3 Solve 0 = -18*j + 1581 - 1671 for j. -5 Solve -13*k = -10*k - 3 for k. 1 Solve -6*y = -5*y + 5 for y. -5 Solve 370 - 28 = -38*c for c. -9 Solve 13*r + 84 = 19 for r. -5 Solve 33 = 5*s + 3 for s. 6 Solve 0 = 70*d - 111*d - 246 for d. -6 Solve -10*r = 30 + 10 for r. -4 Solve -8*n - 3*n = 11 for n. -1 Solve 417 - 409 = j for j. 8 Solve 10*a + 18 = 4*a for a. -3 Solve -4*c = -0*c + 12 for c. -3 Solve -6*a = 9 + 15 for a. -4 Solve 29*l - 9 + 67 = 0 for l. -2 Solve -69*y + 73*y - 36 = 0 for y. 9 Solve -53*d + 93 = -22*d for d. 3 Solve -15*p - 8 = -23 for p. 1 Solve 60*c - 12 = 56*c for c. 3 Solve 0 = 3*i - 25 + 13 for i. 4 Solve -22 + 18 = -4*x for x. 1 Solve -17*h + 41 = -61 for h. 6 Solve -71*c - 24 = -75*c for c. 6 Solve 95*n - 91*n + 4 = 0 for n. -1 Solve -23*x - 12 = -29*x for x. 2 Solve -64*r - 80 = -54*r for r. -8 Solve -10*l - 7 = -47 for l. 4 Solve 17*v - 3*v + 126 = 0 for v. -9 Solve -7*t + 33*t = 104 for t. 4 Solve -31 = 13*r - 5 for r. -2 Solve -352*l + 354*l + 6 = 0 for l. -3 Solve -k - 2*k = -7*k for k. 0 Solve -52 = s - 46 for s. -6 Solve -193*i + 25 = -198*i for i. -5 Solve 0 = -2*x + 1043 - 1035 for x. 4 Solve -29*b = -41*b + 24 for b. 2 Solve 15*m - 35 = -80 for m. -3 Solve 1 = 3*r - 11 for r. 4 Solve -203 = 8*g - 37*g for g. 7 Solve -45*m + 2 = -44*m for m. 2 Solve 0 = -25*n + 80 + 170 for n. 10 Solve 8 = -8*b - 24 for b. -4 Solve -2*g = -515 + 511 for g. 2 Solve 49*q = 157 + 88 for q. 5 Solve 23*b = 19*b for b. 0 Solve 28*d = -70*d + d for d. 0 Solve 13 = 5*q + 48 for q. -7 Solve 39*x + 20 = 34*x for x. -4 Solve -4 = 30*y - 28*y for y. -2 Solve 3*z + 1 = 7 for z. 2 Solve -39*v - 13 = -52 for v. 1 Solve 0 = 13*d + 44 + 21 for d. -5 Solve 2*p - 2 + 6 = 0 for p. -2 Solve 0 = -4*d - 2*d + 30 for d. 5 Solve 8*q + 6 = 5*q for q. -2 Solve -5*p + 50 = -15*p for p. -5 Solve 20 = 36*a - 16*a for a. 1 Solve -136*m - 297 = -37*m for m. -3 Solve 337*j - 348*j = -66 for j. 6 Solve -98 + 122 = -12*n for n. -2 Solve 38*a = 36*a - 6 for a. -3 Solve 4 = -32*q - 28 for q. -1 Solve 12*l + 26 = -34 for l. -5 Solve 0 = -3*v - 0 + 15 for v. 5 Solve 5 - 13 = 2*j for j. -4 Solve 80*v = 82*v - 8 for v. 4 Solve 8*j = 12*j + 24 for j. -6 Solve r + 12 = 7 for r. -5 Solve 26*i = 22*i for i. 0 Solve 0 = 2*z + 4 + 2 for z. -3 Solve 16*p + 2845 - 2829 = 0 for p. -1 Solve 8*u - 9*u + 4 = 0 for u. 4 Solve 67 = -61*v - 55 for v. -2 Solve -16*q + 76 = 12 for q. 4 Solve -1466 = -5*k - 1461 for k. 1 Solve 81 = 10*w - 19 for w. 10 Solve -681 = 6*u - 633 for u. -8 Solve 0 = -g + 376 - 380 for g. -4 Solve -7*k + 65 - 51 = 0 for k. 2 Solve 9*h + 6*h = 3*h for h. 0 Solve 6 = -0*v - 3*v for v. -2 Solve 55*o - 45*o = -10 for o. -1 Solve 246*h + 280 = 316*h for h. 4 Solve 65 = 11*w + 21 for w. 4 Solve -108 + 108 = -d for d. 0 Solve 0 = m + 2 for m. -2 Solve -24 + 39 = 3*s for s. 5 Solve 388*h - 395*h + 35 = 0 for h. 5 Solve -9*l + 3 = -6 for l. 1 Solve 822 = 12*b + 750 for b. 6 Solve -99*q + 94*q = -30 for q. 6 Solve -14*f - 3 = -11*f for f. -1 Solve 0 = -12*v - 51*v + 252 for v. 4 Solve -11*u - 4 = -7*u for u. -1 Solve 32*h = 54*h + 220 for h. -10 Solve 197*n = 203*n for n. 0 Solve 67*x - 4 = 63*x for x. 1 Solve 38*d + 39 - 1 = 0 for d. -1 Solve -5*g + 12*g + 28 = 0 for g. -4 Solve -17*a = 2*a + 133 for a. -7 Solve -193*b + 17*b - 880 = 0 for b. -5 Solve -t = 8 - 11 for t. 3 Solve 155 - 203 = 8*x for x. -6 Solve 0 = 31*v - 37*v - 42 for v. -7 Solve 4*h = h + 9 for h. 3 Solve -9*x + 5*x - 16 = 0 for x. -4 Solve 15 = 25*k - 28*k for k. -5 Solve -6*y + y - 20 = 0 for y. -4 Solve 14*x - 2*x = 48 for x. 4 Solve -5 + 0 = x for x. -5 Solve -p - 30 = 9*p for p. -3 Solve 0 = -16*q + 58 - 10 for q. 3 Solve 79*q = 68*q - 33 for q. -3 Solve 4*r = 20*r + 16 for r. -1 Solve 9*g = 16*g for g. 0 Solve -9*v = 4*v + 78 for v. -6 Solve 30 = -16*p - 2 for p. -2 Solve -29 = 11*s + 4 for s. -3 Solve 15*g - 17*g + 2 = 0 for g. 1 Solve 8*k - 3 = 21 for k. 3 Solve -4*x - 9 = -x for x. -3 Solve 10*f = -3 + 23 for f. 2 Solve -86*u = 15*u + 202 for u. -2 Solve 12*m + 1 = 11*m for m. -1 Solve -11 = -10*f + 29 for f. 4 Solve 38*k = 37 + 39 for k. 2 Solve 0 = -d - 3*d - d for d. 0 Solve -473 = 80*r + 167 for r. -8 Solve 19*c = -26*c + 45 for c. 1 Solve 2*l = -8*l - 7*l for l. 0 Solve 0 = -27*w + 93 + 150 for w. 9 Solve -24*v + 22*v = 10 for v. -5 Solve 14 = -16*a - 34 for a. -3 Solve -115 = k - 120 for k. 5 Solve 10 = -5*f + 5 for f. -1 Solve 0 = -7*b + 31 + 4 for b. 5 Solve 0 = -8692*y + 8682*y - 80 for y. -8 Solve 0 = -5*v - 6 + 26 for v. 4 Solve -30*n + 23 = -157 for n. 6 Solve -164*a - 36 = -170*a for a. 6 Solve 2 - 16 = 14*a for a. -1 Solve -29 = 7*t + 6 for t. -5 Solve -81*j + 82*j + 2 = 0 for j. -2 Solve 0 = -32*m + 147 + 13 for m. 5 Solve 218 - 194 = -8*h for h. -3 Solve -67*n - 49 = -74*n for n. 7 Solve 62*q - 72 = 80*q for q. -4 Solve -13*y - y = -28 for y. 2 Solve 46 - 16 = -6*j for j. -5 Solve -225 = -47*y + 57 for y. 6 Solve -10 = 61*v - 63*v for v. 5 Solve -12 = 4*h - h for h. -4 Solve 0 = -6*i - 7 + 25 for i. 3 Solve 296*w = 319*w - 207 for w. 9 Solve 11*z = -138 + 28 for z. -10 Solve 0 = 4*b + 74 - 78 for b. 1 Solve 62*s + 1210 = -59*s for s. -10 Solve 9*t = 14*t - 10 for t. 2 Solve -3*j = 6*j - 9 for j. 1 Solve -42 + 2 = -8*f for f. 5 Solve 5 = -26*p + 31 for p. 1 Solve 0 = 109*r - 102*r + 14 for r. -2 Solve 2922*p - 2912*p = 70 for p. 7 Solve 0 = -69*t + 129 - 336 for t. -3 Solve -5*q + 4 + 1 = 0 for q. 1 Solve 0 = -12*c + 13*c + 2 for c. -2 Solve -3*u + 230 - 221 = 0 for u. 3 Solve -4*u + 24*u + 60 = 0 for u. -3 Solve 4*z + 28 = 32*z for z. 1 Solve p = -p - 0*p for p. 0 Solve 11*w + 28*w = 78 for w. 2 Solve -2315*q + 2317*q = -8 for q. -4 Solve 45*j = 40 + 50 for j. 2 Solve 113 = 50*c - 137 for c. 5 Solve -18*v + 44 = 134 for v. -5 Solve 21*d - 10 = 11*d for d. 1 Solve -47*u = 206 + 123 for u. -7 Solve -59*j - 37*j = 576 for j. -6 Solve -1118 = 5*u - 1163 for u. 9 Solve -125*t - 76 = -106*t for t. -4 Solve -20*a = 62*a + 738 for a. -9 Solve -2*m + 27 - 29 = 0 for m. -1 Solve 2*g - 13 + 1 = 0 for g. 6 Solve 50*f = 47*f - 6 for f. -2 Solve -9*o + 72 = 3*o for o. 6 Solve 0 = 6*w - 243 + 219 for w. 4 Solve -21*z = -3*z for z. 0 Solve b - 286 + 282 = 0 for b. 4 Solve -4 = -8*l + 4 for l. 1 Solve -l - 9 = -13 for l. 4 Solve -77*l + 84*l + 28 = 0 for l. -4 Solve -10*y = 289 - 319 for y. 3 Solve 237 = 31*k - 73 for k. 10 Solve 59*m - 13 + 72 = 0 for m. -1 Solve 4*w + 115 - 123 = 0 for w. 2 Solve -725 + 761 = -6*h for h. -6 Solve -b - 6 = -5 for b. -1 Solve 3*w = 20*w - 17 for w. 1 Solve 0 = -9*s + 19 + 26 for s. 5 Solve l - 5 = -2 for l. 3 Solve -11*i = 107 - 30 for i. -7 Solve -6*d = -24*d for d. 0 Solve b + b + 8 = 0 for b. -4 Solve 13*j + 21 + 83 = 0 for j. -8 Solve -45 = 14*r - 29*r for r. 3 Solve 27*c - 3 = 26*c for c. 3 Solve 7 + 218 = 75*t for t. 3 Solve 13 = 40*o - 27*o for o. 1 Solve 281*g = 286*g - 50 for g. 10 Solve 23 - 5 = 6*l for l. 3 Solve 45 = i + 14*i for i. 3 Solve -375 + 123 = -36*o for o. 7 Solve 138*b = 129*b for b. 0 Solve 57*q = 27*q - 30 for q. -1 Solve 77 = 13*z + 12 for z. 5 Solve -4*w = -123 + 159 for w. -9 Solve 64*c - 59*c = -10 for c. -2 Solve -2*q = 34 - 22 for q. -6 Solve -2*l + 3*l = 4 for l. 4 Solve -18*p = -6 - 12 for p. 1 Solve 15*t - 356 + 386 = 0 for t. -2 Solve 228 - 52 = 44*t for t. 4 Solve -14*d + 521 = 409 for d. 8 Solve -5*f - 4 = 1 for f. -1 Solve -82 = 9*m + 32*m for m. -2 Solve -7*v + 21 = -35 for v. 8 Solve 4*d - 2*d + 10 = 0 for d. -5 Solve 4*y - 12 + 0 = 0 for y. 3 Solve 4*q = -33 + 17 for q. -4 Solve 30 = 5*o + 10 for o. 4 Solve 48*j - 32*j = 32 for j. 2 Solve -3*f = -2*f + 5 for f. -5 Solve 75*a = 68*a for a. 0 Solve 10 - 5 = -5*s for s. -1 Solve 0 = 22*b + 82 + 6 for b. -4 Solve -3*h - 71*h = 4*h for h. 0
{ "pile_set_name": "DM Mathematics" }
- -14064. Suppose a - 4496 = -5*b, 89*a = -5*b + 93*a + t. What is the units digit of b? 9 Suppose -3896*d - 44433 = -3905*d. What is the hundreds digit of d? 9 Let q = 27519 + -9660. What is the ten thousands digit of q? 1 Let x(u) = -u**3 + 53*u**2 + 88*u + 138. What is the tens digit of x(51)? 2 Suppose 2*j = -9*o + 7*o + 12980, o - 6493 = -4*j. What is the tens digit of o? 8 Suppose -56*w = -62*w. Suppose w = -2*x + 5*c + 2884, -x - 3*c + 2*c = -1456. What is the tens digit of x? 5 Let r be 5 - 7/(7/5). Suppose -17*m + 7 + 27 = r. Suppose c - k = 82 + 13, m*c = -5*k + 162. What is the units digit of c? 1 Suppose -51258 = 44*u - 11218. Let o = -444 - u. What is the hundreds digit of o? 4 Suppose -m + 584 = -5*o, 0 = 2*m + 3*m - 3*o - 2920. Suppose q + q = -i + m, 0 = -4*q + 4*i + 1156. Suppose -3*v = 36 - q. What is the units digit of v? 5 Let s(y) = 338*y + 3928. What is the tens digit of s(75)? 7 Suppose 4*n = 185 - 169. Suppose 2*z - n*s - 1668 = 0, -2*z - 18*s = -13*s - 1632. What is the tens digit of z? 2 Let m = 11714 - 2449. What is the thousands digit of m? 9 Suppose 0 = -b + 4*b - 1944. Suppose -2716 = -5*o + 12*o. Let l = o + b. What is the hundreds digit of l? 2 Suppose 4*c + 610 = 5*x, 4*x - 2*x + 2*c = 226. Let j = x + 260. What is the tens digit of j? 7 Suppose -14 = -4*z - t, -5*z + t + 4*t + 30 = 0. Suppose z*l = 3*l + 2. Suppose -8*w + 6*w - 5*k + 315 = 0, -w + l*k + 153 = 0. What is the hundreds digit of w? 1 What is the units digit of (-36539)/9*(-8 + 2) + (-1964)/1473? 8 Let k be (-1 - -2)/1 - -92*12. Let h = k - 303. What is the tens digit of h? 0 Suppose 0*d + 162 = -6*d. Let z = 31 + d. Suppose -z*l + 188 = -4*k - 0*k, -l = k - 49. What is the units digit of l? 8 Suppose 124*x - 22*x - 1111683 = -1821. What is the ten thousands digit of x? 1 Let w(j) = -j**3 + 4*j**2 + 2*j + 8. Let x be w(5). Let d be (30/x + 8/28)*-1. Suppose d*n - 4*y = 66 - 2, 0 = -5*n - 5*y + 100. What is the tens digit of n? 1 Let k(q) = 227*q + 5921. What is the hundreds digit of k(0)? 9 Let a(h) = h**3 + 84*h**2 + 300*h - 20. What is the thousands digit of a(-71)? 4 Let u(y) = -y**3 - 9*y**2 - 22*y - 112. Let b be u(-8). Suppose b = 57*i - 42*i - 3150. What is the hundreds digit of i? 2 Suppose 5*o = -5*k + 57685, -547*o + 551*o + 3*k = 46143. What is the units digit of o? 2 Let p = -68 + 100. Suppose p*y - 1140 = 28*y. What is the hundreds digit of y? 2 Suppose -2*j + 2 - 6 = 0. Let z be 6*j/(-3) - (3 - 2). Suppose z*y = -y + 144. What is the units digit of y? 6 Let t(x) = 8*x**2 - 1. Let l be t(2). Let g = -21 + 27. Let o = l - g. What is the tens digit of o? 2 What is the tens digit of (-32)/(-128) + ((-26635)/4)/(-1)? 5 Suppose 18*p - 3628 = 14*p. Suppose -p = -8*k + 4*k - 5*o, -2*o = k - 226. What is the tens digit of k? 2 Let j(c) = 2*c**2 + 17*c + 9. Let o(s) = -7*s - 7*s - 8 - 8 + 16*s. Let h be o(2). What is the units digit of j(h)? 3 Suppose -y + 4*s - 2*s = -186, 0 = 5*y + s - 963. Let g = 676 - y. What is the tens digit of g? 8 Suppose 2*w - 5*w + 1270 = -x, 5*x = w - 6420. Let m = x - -1874. What is the units digit of m? 9 Let s(v) = -750*v**2 + 19 + 756*v**2 - 65 - 3*v - 7*v. What is the tens digit of s(11)? 7 Let q = -218 + 488. Suppose s + 2*s = q. Suppose -4*y + 6 = -s. What is the tens digit of y? 2 What is the units digit of (4998/8 - 3)/((-16)/(-64))? 7 Suppose -5*g - 30 = -5*s, 27 = s + 4*s - 4*g. Let j be (s/(-5)*-2)/((-3)/45). What is the tens digit of -48*(23/j + (-2)/9)? 7 Suppose -2*t + 87566 = 5*j, -3*j - t - 12177 + 64716 = 0. What is the hundreds digit of j? 5 Let o(s) = 327*s + 4815. What is the hundreds digit of o(42)? 5 Suppose -55853 = -78*o + 1621693. What is the units digit of o? 7 Suppose -z = 2*x - 15, 4*x - 60 = -5*z - 15. Suppose z*w = 3*w - 2*y + 782, -w - 3*y + 383 = 0. What is the hundreds digit of w? 3 What is the units digit of ((-3897)/(-54)*-8)/(8/(-228) + 0)? 4 Let w be (-1 - 2/(-6)) + 1360/6. Let q = 314 - w. What is the tens digit of q? 8 Let q be (20/(-8))/(-1*4/8). Suppose -5*f - q*b = -4895, 3*b + 2*b = -2*f + 1943. What is the hundreds digit of f? 9 Let l = 112 - 108. Let h be 992/(-6)*l/8*-15. Suppose 13*v - h = 5*v. What is the tens digit of v? 5 Let k(r) be the third derivative of 0 - 3/8*r**4 + 1/2*r**3 - 1/60*r**5 + 0*r + 15*r**2. What is the units digit of k(-6)? 1 Let f(z) = 23*z**2 - 68*z - 149. What is the tens digit of f(22)? 8 Suppose 2*l + 14*i = 15*i + 11239, 3*l = 3*i + 16869. What is the hundreds digit of l? 6 Suppose -d + 2223429 = 46*d - 0*d. What is the ten thousands digit of d? 4 Suppose 1598 - 383 = 5*c + 5*x, 5*x = -c + 223. Suppose -c = m - 9*m. Suppose g + 4*g = -4*b + m, -2*g - b = -10. What is the units digit of g? 3 Let b = -4259 + 13194. What is the units digit of b? 5 Suppose -4*j = -3*x - 80, 2*j + 0*x = 5*x + 54. Let k = j - 13. What is the tens digit of (1/(k/(-200)))/(1/(-2))? 0 Let r(o) be the first derivative of 2*o**3 - 31*o**2/2 + 13*o + 51. What is the tens digit of r(7)? 9 Let r(h) = -h**3 - 4*h**2 - h - 1. Let b be r(-6). Suppose -d = -t + 31, d + 2*d + 5*t = -b. What is the units digit of 4 - (4/4 + d)? 2 Let a(l) = l**3 - 23*l**2 - 12*l - 37. Let v be a(24). Let k = v - 175. Let u = k - -26. What is the tens digit of u? 0 What is the hundreds digit of 51613/2 + (-860)/(-344)? 8 Suppose p + 211 = f - 3*f, -4*p = -5*f + 844. Let g = 478 + p. Let l = -134 + g. What is the units digit of l? 3 Let x be (-8460)/28 + (-1)/(-7). Let k = 165 - x. What is the tens digit of k? 6 Suppose 5*c + 5 = 15, -5*o - 4 = 3*c. Let d(k) = -23*k**3 + k**2 + 4*k + 6. What is the hundreds digit of d(o)? 1 Let x(k) = k**3 - 11*k**2 - 12*k - 1. Let p be x(12). Let t be (3 - p)/2*(-4 + 20). Let l = t - -20. What is the tens digit of l? 5 Let y(n) = -2 + 2*n - 21 + 2. Let z be y(-7). Let m = z + 61. What is the tens digit of m? 2 Suppose 2*z = -6, 1408 = 5*j + 5*z - 1307. Let p = 946 - j. What is the units digit of p? 0 Let b(w) = w**3 - 24*w**2 + 80*w - 3. Let m be b(20). Let j(i) = -18*i**3 + i**2 + 5*i + 8. What is the units digit of j(m)? 8 Let r(a) = 11*a**2 - 125*a + 384. What is the units digit of r(-16)? 0 Suppose 3*f + 15 = 8*f. Let d(r) = 36*r**3 - 3*r**2 + 2. Let c be d(2). Suppose 5*w - c = -h + 206, -5*w = f*h - 492. What is the units digit of w? 6 Suppose -z + 116345 = 5*v, -46556 = -15*v + 13*v - 4*z. What is the thousands digit of v? 3 Let s = 6220 + -2056. What is the thousands digit of s? 4 Let x = 110 - 91. Suppose -4*l = -173 - x. Suppose -52 = -k + 3*o, 6*k - 4*o = 5*k + l. What is the tens digit of k? 6 Let b(w) = -5*w + 159. Let o be b(31). Suppose o*p + 2*z = 1890, -226 = -p - 3*z + 254. What is the tens digit of p? 7 Suppose -10 = 4*x + 6. Let i(r) = 9*r**2 - 13*r - 30. What is the tens digit of i(x)? 6 Suppose -1280*n + 1293*n = 96044. What is the tens digit of n? 8 Let z = 39 + -16. Let u(h) = -2*h**3 + 26*h**2 + 4*h. Let b be u(13). Let g = b + z. What is the units digit of g? 5 Suppose -8*x - 15*x = -24785 - 25286. What is the hundreds digit of x? 1 Suppose -c - 4*t + 9 = 0, 0 = 2*c + 3*c - 2*t - 89. Suppose -21*r + 4224 = -c*r. What is the thousands digit of r? 1 Let d = -43 + 45. Let l(u) = 2*u**2 + 8*u**d - 8*u**2 + 11*u + 0 + 4. What is the units digit of l(-6)? 0 Suppose -3*c + 2985 = 2*o, 5*o + 5*c - 3*c = 7468. What is the thousands digit of o? 1 Suppose -66*l = -73*l + 539. Suppose 4*k - l - 515 = 0. What is the tens digit of k? 4 Let z be (-1)/7 + 845/35. Suppose z*v - 10*v - 1036 = 0. What is the tens digit of v? 7 Let u(p) = -8*p**3 - p**2 - p + 3. Let w be u(-2). Let q = w - 42. What is the tens digit of (q/(-3))/(3/(-9))? 2 Let a = 58 - 46. Let g(b) = -b**3 + 10*b**2 + 23*b + 10. Let m be g(a). Let p = 13 - m. What is the units digit of p? 5 Let b = -85 + 36. Let k = 7 - b. Let o = k + -47. What is the units digit of o? 9 Let v(p) = -2*p + 16. Let w be v(-6). Let r = -22 + 40. Suppose t - r = w. What is the tens digit of t? 4 Suppose 3*h = 5*f + 1482 + 981, 0 = 3*h + 2*f - 2463. Suppose 817*z - h*z = -976. What is the tens digit of z? 4 Suppose 2*t - 9844 = -5*k, 4929 = t - 91*k + 90*k. What is the thousands digit of t? 4 Let z(x) = 4*x**2 + 5*x + 1. Let p be z(4). Suppose -2*m + 27 + 27 = 2*k, 58 = 2*m + 4*k. What is the units digit
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 u and 1 i when two letters picked without replacement from uucmuuuippppmc? 5/91 What is prob of picking 2 w when two letters picked without replacement from {w: 2, m: 7, p: 3, f: 3}? 1/105 Calculate prob of picking 4 e when four letters picked without replacement from jeeejjjjeeee. 7/99 Four letters picked without replacement from {v: 3, h: 2, q: 4, s: 7, b: 1}. What is prob of picking 2 h, 1 s, and 1 v? 3/340 Two letters picked without replacement from {d: 5, o: 1, k: 1, l: 6, e: 6}. Give prob of picking 1 o and 1 k. 1/171 Four letters picked without replacement from {w: 1, x: 1, s: 3, q: 5, e: 1}. What is prob of picking 2 w and 2 e? 0 Calculate prob of picking 1 c, 2 m, and 1 g when four letters picked without replacement from mmggdgcggggdmmg. 16/455 What is prob of picking 4 r when four letters picked without replacement from rddrfrrl? 1/70 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {f: 2, a: 1, p: 1, d: 1, z: 2}. 2/21 Calculate prob of picking 2 k when two letters picked without replacement from yky. 0 Three letters picked without replacement from xlxlxxlx. Give prob of picking 1 l and 2 x. 15/28 Three letters picked without replacement from {q: 2, n: 1, w: 4, y: 7, t: 1, a: 2}. Give prob of picking 1 a, 1 n, and 1 t. 1/340 Three letters picked without replacement from lllmllll. Give prob of picking 2 l and 1 m. 3/8 Three letters picked without replacement from {p: 10, q: 4, l: 2, e: 1}. What is prob of picking 3 p? 3/17 Calculate prob of picking 1 s and 2 r when three letters picked without replacement from {r: 8, q: 2, s: 2}. 14/55 Four letters picked without replacement from xrxxrllrlyyxyrylfrlx. What is prob of picking 4 l? 1/969 Three letters picked without replacement from {m: 5, a: 2, c: 6, d: 1, l: 1}. Give prob of picking 2 a and 1 l. 1/455 Two letters picked without replacement from {g: 2, w: 11}. Give prob of picking 2 g. 1/78 Three letters picked without replacement from {q: 12, f: 2, w: 4, s: 2}. What is prob of picking 2 s and 1 q? 1/95 Three letters picked without replacement from iiiytityti. What is prob of picking 2 t and 1 i? 1/8 What is prob of picking 2 g, 1 w, and 1 q when four letters picked without replacement from {q: 1, n: 3, g: 2, e: 1, w: 11}? 11/3060 Three letters picked without replacement from thwhhmhaatwtpmwmwtm. What is prob of picking 1 t and 2 m? 8/323 Two letters picked without replacement from {y: 1, b: 2, o: 1, j: 2, r: 1}. What is prob of picking 1 o and 1 y? 1/21 What is prob of picking 2 f and 1 l when three letters picked without replacement from {l: 11, f: 2}? 1/26 What is prob of picking 2 b and 1 r when three letters picked without replacement from {y: 8, z: 1, r: 2, f: 1, b: 3, e: 3}? 1/136 Four letters picked without replacement from rzzzruuuu. What is prob of picking 3 z and 1 r? 1/63 Two letters picked without replacement from yyyyyuu. What is prob of picking 2 y? 10/21 Calculate prob of picking 1 q and 1 x when two letters picked without replacement from ttqqxtxxxxxqxqxx. 3/10 Four letters picked without replacement from {k: 11, y: 3, f: 1}. Give prob of picking 3 y and 1 f. 1/1365 Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {i: 2, z: 8, j: 4, e: 3, b: 1, s: 2}. 3/95 Calculate prob of picking 2 t and 1 r when three letters picked without replacement from bqtgtbqtqtrtb. 5/143 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from zpwkzzwzh. 1/18 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {x: 3, m: 2, s: 1, w: 3, d: 1, l: 3}. 1/13 Three letters picked without replacement from {i: 5, w: 5, e: 1, v: 8}. What is prob of picking 1 e and 2 i? 10/969 Two letters picked without replacement from {i: 3, n: 3}. Give prob of picking 2 n. 1/5 Four letters picked without replacement from {o: 14, w: 4}. Give prob of picking 4 o. 1001/3060 Calculate prob of picking 1 c and 2 j when three letters picked without replacement from bcbjeeebbjbjesejsece. 1/95 What is prob of picking 3 q when three letters picked without replacement from mirqqrr? 0 What is prob of picking 2 f when two letters picked without replacement from vyxffifffxfffffxyf? 55/153 Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {s: 1, q: 1, p: 1, t: 2}. 1/5 Calculate prob of picking 1 s, 1 p, and 1 q when three letters picked without replacement from {q: 1, p: 4, s: 6}. 8/55 Two letters picked without replacement from wddddwddwddd. Give prob of picking 1 d and 1 w. 9/22 What is prob of picking 2 o when two letters picked without replacement from {o: 3, w: 2}? 3/10 Calculate prob of picking 2 t and 2 k when four letters picked without replacement from {t: 9, k: 3}. 12/55 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {b: 4, h: 5, u: 3}. 2/11 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from tnlntlmndn. 2/45 Calculate prob of picking 2 w when two letters picked without replacement from wwswsss. 1/7 What is prob of picking 1 n and 1 v when two letters picked without replacement from qvqbvnqqqpqnv? 1/13 Calculate prob of picking 1 k and 2 x when three letters picked without replacement from yccxyckfxcxz. 3/220 What is prob of picking 2 h when two letters picked without replacement from dhhhdh? 2/5 Three letters picked without replacement from tztzzttzztszttzzvt. Give prob of picking 1 s, 1 z, and 1 t. 4/51 Two letters picked without replacement from {c: 3, l: 3, v: 7}. What is prob of picking 2 v? 7/26 Calculate prob of picking 1 p and 2 t when three letters picked without replacement from pmtpptbptt. 1/5 Three letters picked without replacement from {s: 2, f: 4, i: 3, z: 8}. What is prob of picking 1 i, 1 f, and 1 z? 12/85 Two letters picked without replacement from {u: 9, h: 11}. Give prob of picking 1 u and 1 h. 99/190 Two letters picked without replacement from ffuuf. Give prob of picking 2 f. 3/10 What is prob of picking 1 h and 1 a when two letters picked without replacement from rhqarhl? 2/21 What is prob of picking 4 r when four letters picked without replacement from rwrwbrrbr? 5/126 Four letters picked without replacement from bpbpzpbezbebe. Give prob of picking 3 b and 1 e. 6/143 Three letters picked without replacement from {o: 4, w: 15}. Give prob of picking 2 w and 1 o. 140/323 Calculate prob of picking 1 s and 1 o when two letters picked without replacement from sojj. 1/6 Calculate prob of picking 2 q when two letters picked without replacement from httqqtttqhqhqmmtqqu. 7/57 Three letters picked without replacement from sxdsx. What is prob of picking 2 s and 1 x? 1/5 Two letters picked without replacement from crc. What is prob of picking 2 c? 1/3 What is prob of picking 2 o when two letters picked without replacement from loelleeo? 1/28 Calculate prob of picking 4 t when four letters picked without replacement from tttdtddtdototodoooo. 35/3876 Two letters picked without replacement from kqrqbhby. Give prob of picking 1 q and 1 r. 1/14 Four letters picked without replacement from rrooroooroorr. What is prob of picking 4 o? 7/143 Four letters picked without replacement from jbjbbjj. What is prob of picking 4 j? 1/35 Calculate prob of picking 1 v, 1 h, and 1 y when three letters picked without replacement from {p: 4, y: 2, h: 1, v: 1, x: 2}. 1/60 Calculate prob of picking 3 c when three letters picked without replacement from {z: 2, a: 6, b: 2, c: 9}. 28/323 Two letters picked without replacement from nclnnlcnkgcnnnzn. What is prob of picking 1 l and 1 z? 1/60 Calculate prob of picking 1 h and 2 j when three letters picked without replacement from {j: 7, m: 5, h: 2}. 3/26 Four letters picked without replacement from {e: 2, q: 18}. What is prob of picking 1 e and 3 q? 32/95 Four letters picked without replacement from {p: 3, m: 5}. Give prob of picking 4 m. 1/14 Two letters picked without replacement from {o: 1, k: 2, f: 3, t: 2, e: 4}. Give prob of picking 2 k. 1/66 Calculate prob of picking 2 r when two letters picked without replacement from qqqrrrrqrrrrrrrrrrrr. 12/19 What is prob of picking 3 r and 1 k when four letters picked without
{ "pile_set_name": "DM Mathematics" }
70, -0.005 in decreasing order. 70, -0.005, -0.2, -59/3 Sort -12, -4, -1/5, 5, -0.22, -5/3. -12, -4, -5/3, -0.22, -1/5, 5 Put 5, -12, -3, -97, 11 in increasing order. -97, -12, -3, 5, 11 Sort -8832, 13, -68, 1. -8832, -68, 1, 13 Sort 26, 0.9274, 5, 36 in decreasing order. 36, 26, 5, 0.9274 Sort 33, 30599, -4, 2, -7, 0 in decreasing order. 30599, 33, 2, 0, -4, -7 Put 251, 2, -98, 3, 61, -4 in increasing order. -98, -4, 2, 3, 61, 251 Sort 0.2, 173.4, -3/28, -0.02 in decreasing order. 173.4, 0.2, -0.02, -3/28 Sort 125, -2/21, 8/5, 0.03, -0.3. -0.3, -2/21, 0.03, 8/5, 125 Put -1/2, 1659, 74194 in increasing order. -1/2, 1659, 74194 Put -346/3, -0.41, 3, 24 in descending order. 24, 3, -0.41, -346/3 Sort 7/4, 0, -75, -157/5 in ascending order. -75, -157/5, 0, 7/4 Sort -2, -6, -13396, -3. -13396, -6, -3, -2 Sort -3241809, 3, 1. -3241809, 1, 3 Put -2/55, 692.39, 5/22 in decreasing order. 692.39, 5/22, -2/55 Put -4, 0.2, -2, -74, 4, -158/3 in decreasing order. 4, 0.2, -2, -4, -158/3, -74 Put -4, 9, 16, 0, 2, 603 in decreasing order. 603, 16, 9, 2, 0, -4 Put 1, -9, -45, -754, 3 in descending order. 3, 1, -9, -45, -754 Sort 573, -121, -0.24 in ascending order. -121, -0.24, 573 Put 0.9, 0.5, 5434/15, -2/7 in ascending order. -2/7, 0.5, 0.9, 5434/15 Sort -4, 5, 0, -585, 4, 26, 2 in decreasing order. 26, 5, 4, 2, 0, -4, -585 Put 5700, 1/36, -3/4, -0.2, 7, 2/7 in descending order. 5700, 7, 2/7, 1/36, -0.2, -3/4 Put -255, 5, -71291 in ascending order. -71291, -255, 5 Put 83, 201, 317 in descending order. 317, 201, 83 Put 8, 2/9, -27, 19, -4, -31/6 in descending order. 19, 8, 2/9, -4, -31/6, -27 Sort 1, 1/4, -1/9, 30, -0.3271, -3. -3, -0.3271, -1/9, 1/4, 1, 30 Sort 1.498, -3, 226, 3/8 in ascending order. -3, 3/8, 1.498, 226 Put 15, 0, 31, -119, -78 in decreasing order. 31, 15, 0, -78, -119 Put -29, 25, -317, 3 in increasing order. -317, -29, 3, 25 Sort 0.25, 0.02, -33, -0.01, -0.4. -33, -0.4, -0.01, 0.02, 0.25 Sort 2, 2/5, -90284, 0.1, -6, -0.2 in decreasing order. 2, 2/5, 0.1, -0.2, -6, -90284 Sort 5, -0.3, -9091249. -9091249, -0.3, 5 Put -5, -1, 0, 2, -4256611 in descending order. 2, 0, -1, -5, -4256611 Sort 2, -437968, -1 in ascending order. -437968, -1, 2 Sort -116, 93, 2/5, -12 in increasing order. -116, -12, 2/5, 93 Sort 5, 4414, -3, 29, 13 in ascending order. -3, 5, 13, 29, 4414 Put 21, -11001, -1, 1, -3, -4 in descending order. 21, 1, -1, -3, -4, -11001 Sort -2, 20.8, 2, 527, -5, 0.3 in descending order. 527, 20.8, 2, 0.3, -2, -5 Put 39, -94, 108, 8, -1 in ascending order. -94, -1, 8, 39, 108 Put -26, 258, 2/123 in increasing order. -26, 2/123, 258 Put 3, -1/3, 4.93, -0.043, -26 in descending order. 4.93, 3, -0.043, -1/3, -26 Put -131605120, -5/3, -2 in decreasing order. -5/3, -2, -131605120 Put -62, 0, 4, -1, -152 in descending order. 4, 0, -1, -62, -152 Put -13811, 154, -9 in ascending order. -13811, -9, 154 Put -1, 4, -79, -3, 6, -12, -5 in decreasing order. 6, 4, -1, -3, -5, -12, -79 Put 5, 210457.3, -2 in ascending order. -2, 5, 210457.3 Sort 3/7, -1/554, 17/3288 in increasing order. -1/554, 17/3288, 3/7 Sort -3, -936, 6, -4, 31, 20 in decreasing order. 31, 20, 6, -3, -4, -936 Sort 15289, 0, 58. 0, 58, 15289 Sort 2, 5, -2, 0.1, 3, 0, 1695 in ascending order. -2, 0, 0.1, 2, 3, 5, 1695 Sort 3.413, -0.02, -0.642 in descending order. 3.413, -0.02, -0.642 Put 4, -29, -124, -10, -1, 0 in increasing order. -124, -29, -10, -1, 0, 4 Sort 1213, -27, -96 in ascending order. -96, -27, 1213 Sort -3, 0.26, 2969, -3/5 in decreasing order. 2969, 0.26, -3/5, -3 Sort 0, -6, -20843678 in decreasing order. 0, -6, -20843678 Sort -35, 1, -112, -160, -2, -1. -160, -112, -35, -2, -1, 1 Sort 3, -4, -1167832, -1 in increasing order. -1167832, -4, -1, 3 Put 1438, 610, -4, 7 in descending order. 1438, 610, 7, -4 Sort -16, 97, 5, 3, -9, 4, 9 in increasing order. -16, -9, 3, 4, 5, 9, 97 Sort 607, -54, 8. -54, 8, 607 Sort -25, -0.029, 102.1 in decreasing order. 102.1, -0.029, -25 Sort 11, -110796, 5, 3, 2 in ascending order. -110796, 2, 3, 5, 11 Put -5, 146, 4, 9442 in decreasing order. 9442, 146, 4, -5 Put -0.3, -0.7, -1.6, -8301 in decreasing order. -0.3, -0.7, -1.6, -8301 Put -23, -0.033, 873/2 in descending order. 873/2, -0.033, -23 Sort -14, -3, 1, 0, 3, 164 in descending order. 164, 3, 1, 0, -3, -14 Sort 959, -18/83, -2/9, 0.2, 5 in descending order. 959, 5, 0.2, -18/83, -2/9 Sort 0, 410, -7866 in decreasing order. 410, 0, -7866 Sort -2, 10, 53, 3, 0, 1479 in increasing order. -2, 0, 3, 10, 53, 1479 Sort 0.1547, 1198, 2/5, -5, 1 in decreasing order. 1198, 1, 2/5, 0.1547, -5 Sort 0.4, 0, 4, -0.3, 32/11, 1208.6. -0.3, 0, 0.4, 32/11, 4, 1208.6 Sort 8, 3, -4, 6, -9, -84, -1 in descending order. 8, 6, 3, -1, -4, -9, -84 Sort 290, -56/9, -0.1, 0, 6/5, 2/13 in ascending order. -56/9, -0.1, 0, 2/13, 6/5, 290 Sort -0.0419, -0.3, 0.19036, -0.21 in decreasing order. 0.19036, -0.0419, -0.21, -0.3 Sort -5, -27139, 2/3, -22 in ascending order. -27139, -22, -5, 2/3 Sort 2.62, -161/379, 0.2 in decreasing order. 2.62, 0.2, -161/379 Sort -104, 3, -8, 71, -2, 0, -6. -104, -8, -6, -2, 0, 3, 71 Put 38688/223, -2, -5 in increasing order. -5, -2, 38688/223 Put -1.1, 3, 125, -10712 in decreasing order. 125, 3, -1.1, -10712 Sort 5, 9, 15, 165, 7 in decreasing order. 165, 15, 9, 7, 5 Put -8, 3, -3, 485, -2, -1, 6 in ascending order. -8, -3, -2, -1, 3, 6, 485 Put 0, 0.3, -3/5, 4646 in increasing order. -3/5, 0, 0.3, 4646 Put -0.2226, 37, 871 in ascending order. -0.2226, 37, 871 Sort -4.3, -25, 123/8 in descending order. 123/8, -4.3, -25 Sort 14, 0.11, -29/2, 3/4, 0, 1 in descending order. 14, 1, 3/4, 0.11, 0, -29/2 Put 2, -8, 107, 87, -13, 1 in descending order. 107, 87, 2, 1, -8, -13 Sort 5, -12, 13722 in increasing order. -12, 5, 13722 Sort 9, -85636, 17 in increasing order. -85636, 9, 17 Put -6, -49, 5, -11941 in decreasing order. 5, -6, -49, -11941 Sort 10, -5582, 4, 30, 1, -5. -5582, -5, 1, 4, 10, 30 Put 25, 63, -386, -4 in decreasing order. 63, 25, -4, -386 Sort -3/5, 0.9, 2005, -20 in increasing order. -20, -3/5, 0.9, 2005 Put -47, 5, -5/60393, 1 in increasing order. -47, -5/60393, 1, 5 Sort 4, 2, -4, -2, -30, 19808 in increasing order. -30, -4, -2, 2, 4, 19808 Put 5, 30, -4, 58778 in decreasing order. 58778, 30, 5, -4 Sort -2, -3, 3, -5, 14493, -1 in descending order. 14493, 3, -1, -2, -3, -5 Sort -1, -65/58, -2. -2, -65/58, -1 Sort 4, 45, 3, 39 in ascending order. 3, 4, 39, 45 Put -1.2, 5, -0.01038, 3/13 in ascending order. -1.2, -0.01038, 3/13, 5 Put 0, 4, -186, -3.3, -1 in decreasing order. 4, 0, -1, -3.3, -186 Sort 2, 19, 10, 4, 24722 in decreasing order. 24722, 19, 10, 4, 2 Sort -5, -4, 3, -1955, 366 in decreasing order. 366, 3, -4, -5, -1955 Put -1, -184, 21, -3, 0 in decreasing order. 21, 0, -1, -3, -184 Put -54, 12143, 0.8 in increasing order. -54, 0.8, 12143 Sort 52/7, -0.5, 468, 2/7, 0.5. -0.5, 2/7, 0.5, 52/7, 468 Sort -47, -1, -124, 8, -4, 4, 3. -124, -47, -4, -1, 3, 4, 8 Sort -19, -386834, -31 in descending order. -19, -31, -386834 Sort -1119, -3, 850. -1119, -3, 850 Sort 4, 3165, -4, 3, 22, -5 in increasing order. -5, -4, 3, 4, 22, 3165 Put -0.4, -5, 3, -36.176, -29, -2 in descending order. 3, -0.4, -2, -5, -29, -36.176 Put 4, -132, -3, 58, 392 in descending order. 392, 58, 4, -3, -132 Sort 6, -4, 72, 32, 123 in ascending order. -4, 6, 32, 72, 123 Put -15, 4, -54, -294 in ascending order. -294, -54, -15, 4 Sort 3, -33, 3/4, -55 in increasing order. -55, -33, 3/4, 3 Put 407, -29255, -5 in ascending order. -29255, -5, 407 Sort 455863, 4, 86 in decreasing order. 455863, 86, 4 Put -350, -61, 204 in descending order. 204, -61, -350 Sort 490, 0, 0.1, -4108, -5, -0.1 in decreasing order. 490, 0.1, 0, -0.1, -5, -4108 Put 2018, 72, -4, 3, 234 in descending order. 2018, 234, 72, 3, -4 Put 408/845, -1/5, 2 in ascending order. -1/5, 408/845, 2 Put 5, -45.69, 3, -49, -19 in ascending order. -49, -45.69, -19, 3, 5 Sort -4/3, 56/187, 34 in decreasing order. 34, 56/187, -4/3 Put 28737, -5, 2, 3/14, 1, 5 in descending order. 28737, 5, 2, 1, 3/14, -5 Put -34763, -1, 8 in decreasing order. 8, -1, -34763 Sort 1, 20, -2, 71, 212, -0.2, 2/3 in descending order. 212, 71, 20, 1, 2/3, -0.2, -2 Sort -3407, -10, 5, -4, 2, 19, -3. -3407, -10, -4, -3, 2, 5, 19 Sort -0.053, -0.4, -3/2, 936, -0.3 in dec
{ "pile_set_name": "DM Mathematics" }
tonnes. 0.2368963 How many millimeters are there in one fifth of a centimeter? 2 How many centuries are there in 47535.26 years? 475.3526 How many nanoseconds are there in 0.8650698 minutes? 51904188000 What is 3/28 of a week in seconds? 64800 Convert 99.49485 tonnes to kilograms. 99494.85 How many seconds are there in 5/6 of a day? 72000 What is one fifth of a millennium in decades? 20 How many millilitres are there in 22.0046 litres? 22004.6 What is thirty-seven halves of a litre in millilitres? 18500 How many millimeters are there in ninety-one halves of a meter? 45500 What is 51.0922 milliseconds in microseconds? 51092.2 How many millilitres are there in 57344.13 litres? 57344130 How many millimeters are there in 29/5 of a centimeter? 58 How many grams are there in 7/2 of a kilogram? 3500 Convert 98751.58 millennia to centuries. 987515.8 How many years are there in 21/5 of a millennium? 4200 How many months are there in three sixteenths of a century? 225 How many millimeters are there in 3.292916km? 3292916 Convert 268953.867 minutes to weeks. 26.68193125 What is 3/25 of a kilometer in centimeters? 12000 What is nineteen quarters of a litre in millilitres? 4750 How many years are there in 19/4 of a millennium? 4750 What is 5879.919 nanograms in kilograms? 0.000000005879919 How many micrograms are there in 5/4 of a milligram? 1250 How many microseconds are there in 888.2803 nanoseconds? 0.8882803 How many millilitres are there in 21/2 of a litre? 10500 What is twenty-eight thirds of a year in months? 112 Convert 4270.632ug to milligrams. 4.270632 How many decades are there in 88702.2 months? 739.185 What is 7/2 of a day in hours? 84 Convert 71280.04l to millilitres. 71280040 How many micrograms are there in 1984.273g? 1984273000 Convert 851.952 years to months. 10223.424 What is 5/8 of a meter in millimeters? 625 How many months are there in 6780.12 decades? 813614.4 What is 3/25 of a kilometer in meters? 120 What is three eighths of a litre in millilitres? 375 How many microseconds are there in 978155.1ns? 978.1551 What is nineteen quarters of a millimeter in micrometers? 4750 What is 2.870562 decades in centuries? 0.2870562 How many nanograms are there in 3/5 of a microgram? 600 How many months are there in 411856.3 millennia? 4942275600 How many kilograms are there in 1111.627 milligrams? 0.001111627 What is 6.305783ml in litres? 0.006305783 How many hours are there in fifteen quarters of a week? 630 How many meters are there in 21/8 of a kilometer? 2625 Convert 14.37314ug to kilograms. 0.00000001437314 How many milliseconds are there in 1/15 of a minute? 4000 What is 3/10 of a micrometer in nanometers? 300 Convert 80.87948 kilograms to micrograms. 80879480000 How many minutes are there in five sixths of a hour? 50 What is five quarters of a hour in seconds? 4500 How many seconds are there in three eighths of a hour? 1350 How many millilitres are there in one quarter of a litre? 250 How many nanoseconds are there in 197.842 hours? 712231200000000 What is 21/8 of a hour in seconds? 9450 What is 42912.84 millilitres in litres? 42.91284 How many millilitres are there in 0.8965534 litres? 896.5534 What is 31601.33 millilitres in litres? 31.60133 Convert 150.3077 years to millennia. 0.1503077 What is 253.5961 micrometers in meters? 0.0002535961 What is 0.496266 decades in years? 4.96266 How many millilitres are there in 71/4 of a litre? 17750 What is 5.989466 kilograms in grams? 5989.466 What is 29/5 of a meter in millimeters? 5800 How many centuries are there in 6/5 of a millennium? 12 How many weeks are there in 313.220817s? 0.0005178915625 How many nanograms are there in seven quarters of a microgram? 1750 What is seventy-five halves of a second in milliseconds? 37500 How many litres are there in 74.19166 millilitres? 0.07419166 How many milligrams are there in five eighths of a gram? 625 Convert 70527.1ug to nanograms. 70527100 What is 2424.921l in millilitres? 2424921 How many milligrams are there in 6.566116kg? 6566116 How many hours are there in four thirds of a week? 224 Convert 955.2703 millimeters to centimeters. 95.52703 Convert 2.73176m to kilometers. 0.00273176 What is 6.076908l in millilitres? 6076.908 What is one quarter of a year in months? 3 What is 32064.67 millilitres in litres? 32.06467 Convert 73.08591 meters to centimeters. 7308.591 What is 9.334278 millilitres in litres? 0.009334278 How many grams are there in 37/2 of a kilogram? 18500 Convert 246.4672 litres to millilitres. 246467.2 What is 3/40 of a tonne in grams? 75000 Convert 0.2910142 years to decades. 0.02910142 How many milliseconds are there in 19/4 of a second? 4750 How many kilograms are there in thirteen eighths of a tonne? 1625 Convert 88846.57 litres to millilitres. 88846570 Convert 0.3518403l to millilitres. 351.8403 What is 22852.11 years in months? 274225.32 How many nanoseconds are there in 745174.6 microseconds? 745174600 What is 3/50 of a microsecond in nanoseconds? 60 What is 130.2551 litres in millilitres? 130255.1 What is 8528.13 millennia in years? 8528130 How many millilitres are there in 0.4583219l? 458.3219 What is 12/25 of a tonne in kilograms? 480 How many seconds are there in eighteen fifths of a minute? 216 What is 85/4 of a microgram in nanograms? 21250 What is 25/4 of a millennium in years? 6250 What is seventy-five halves of a litre in millilitres? 37500 How many micrometers are there in 12/25 of a millimeter? 480 How many micrograms are there in sixty-nine halves of a milligram? 34500 What is 4.344974ml in litres? 0.004344974 What is 1368.243g in kilograms? 1.368243 What is 9014.694km in nanometers? 9014694000000000 What is three tenths of a centimeter in micrometers? 3000 Convert 504.354kg to tonnes. 0.504354 Convert 82121.88l to millilitres. 82121880 What is fourty-three quarters of a milligram in micrograms? 10750 How many microseconds are there in 3/40 of a millisecond? 75 What is sixty-seven quarters of a kilometer in meters? 16750 What is fifty-nine quarters of a microsecond in nanoseconds? 14750 How many grams are there in 516.6601 micrograms? 0.0005166601 How many grams are there in one tenth of a kilogram? 100 How many nanometers are there in 21/8 of a micrometer? 2625 How many hours are there in 7.288605 microseconds? 0.0000000020246125 How many litres are there in 0.3928399 millilitres? 0.0003928399 What is fourty-three quarters of a gram in milligrams? 10750 What is 1/10 of a century in years? 10 What is fourty-four fifths of a microgram in nanograms? 8800 How many millilitres are there in 0.964363 litres? 964.363 What is 2379.213l in millilitres? 2379213 How many nanoseconds are there in 3/5 of a microsecond? 600 How many grams are there in 7/2 of a kilogram? 3500 What is 60247.4ug in grams? 0.0602474 How many nanometers are there in 3.81647 kilometers? 3816470000000 What is seven quarters of a kilometer in meters? 1750 What is 27/2 of a microgram in nanograms? 13500 How many milligrams are there in 3498.894 kilograms? 3498894000 How many litres are there in 8600.946 millilitres? 8.600946 How many centuries are there in 65668.67 millennia? 656686.7 Convert 152340.9 tonnes to nanograms. 152340900000000000000 What is 2.362189 nanograms in grams? 0.000000002362189 How many minutes are there in twenty-five sevenths of a week? 36000 What is seven halves of a day in hours? 84 What is 97.55311 days in seconds? 8428588.704 How many months are there in 242.8129 years? 2913.7548 What is 6/25 of a litre in millilitres? 240 What is 700.3556 centuries in decades? 7003.556 How many nanograms are there in 23/8 of a microgram? 2875 How many millimeters are there in seven halves of a centimeter? 35 Convert 1.812399 litres to millilitres. 1812.399 How many grams are there in 0.6681086 nanograms? 0.0000000006681086 Convert 747.0557 hours to milliseconds. 2689400520 Convert 319.6233 litres to millilitres. 319623.3 Convert 24.59161t to milligrams. 24591610000 What is five eighths of a micrometer in nanometers? 625 Convert 82.12818 centimeters to meters. 0.8212818 What is one quarter of a millennium in months? 3000 How many meters are there in 75.80034 micrometers? 0.00007580034 What is 25/2 of a decade in years? 125 What is six fifths of
{ "pile_set_name": "DM Mathematics" }
+ 1. Let v be 585/35 + 3 - 4/(-14). Let o be m(v). Which is bigger: -9/89 or o? o Suppose -13*l + 38412 = -49741. Is l at most as big as 6780? False Suppose 0 = 10*x + x + 31*x - 546. Suppose 0 = 4*z - 4. Which is greater: z or x? x Let m = 5 + -3. Let x = 1489/855 + 10/171. Which is bigger: x or m? m Suppose -38*l + 127 + 63 = 0. Suppose -2*x + 2*q + 8 = 0, -x + 1 = l*q - 3. Suppose 12 = v - 3*y, 2 + 6 = -2*y. Is x less than or equal to v? False Suppose j - 58 = -3*f, -3*j = -10*f + 11*f - 150. Suppose -2 = 51*y - j*y. Let r = 3.2 + -3.39. Which is bigger: r or y? r Let v be (-1171)/(-14)*36/(-1 + 7). Let k = v + -501. Let u = -81 + 81. Which is greater: u or k? k Let f be (-2 - 171/6) + (540/24)/(-15). Suppose 0 = -4*r - 87 - 61. Do f and r have different values? True Let z = 29603/35538 + 2/5923. Which is smaller: -60 or z? -60 Let y = -27 - -182. Let n = y - 157. Let t = -7.11 - -7. Is t >= n? True Let w = -1226 + 57620/47. Suppose 9 = 3*d, 4*h - 2*d = -0*h - 46. Let k = h + 10. Is k less than or equal to w? False Let b = 19059748/1075 + -17730. Suppose p - 14 = -10*q + 7*q, 0 = -2*p + 2*q - 12. Is b > p? True Let q be (322/63 + -5)*(-84)/(-6). Suppose -3*g + 5 = -2*f - 4, 4*f - 27 = -3*g. Which is greater: q or f? f Let m = -38.931 - 0.069. Let j = -38.925 - m. Let t = -0.075 + j. Are -1/15 and t nonequal? True Let i = 5/27494 - 34367645/797326. Which is smaller: -42 or i? i Let a(d) = -2724*d**2 - d + 2727*d**2 - 11*d. Let h be a(4). Which is bigger: h or 72? 72 Suppose 31*m = -604 + 883. Is m bigger than 70/9? True Suppose -b + 8*b - 21 = 0. Suppose -p - b*x = -5*p + 21, x + 22 = 3*p. Suppose 0 = h - 5*f + 3*f + p, 4*f - 11 = -5*h. Which is greater: 36 or h? 36 Let x be (56/(-3))/((-1582)/2373). Suppose -140 = -4*l - 32. Is l bigger than x? False Let o be (-1 - 195/12)/(9/48). Let b be 11/(-4) - 161/o. Let r be (-96)/(-51) + 0 - 2. Which is greater: r or b? r Let p = -19 + 0. Suppose 2*j = -4*g + 212 + 12, 5*g - 273 = j. Suppose -170 = -g*x + 65*x. Which is smaller: x or p? p Let y(p) = p**2 + 53*p + 303. Let o be y(-6). Is o less than 27? True Let h be ((36/10)/3)/((-15)/(-50)). Let i be 0/h*(15/6 + -3). Let s be -17 - (2 + 1 + i). Do -20 and s have different values? False Let a(y) = -7850*y - 494. Let z be a(-1). Are z and 7354 unequal? True Let t be ((-138)/345)/(2/(-90)). Let a be (1*(-27)/t)/(42/16). Is a at most 4/9? True Let p = 93/17 - 47417/153. Is -305 not equal to p? True Let p = -0.2 + -0.8. Let y = -0.0013 - 0.0487. Let h = 0.19 + y. Is h greater than p? True Suppose -6*n - 33 = 87. Let r be -14 - 5/(n/(-12)). Is r greater than -35/2? True Suppose 0 = 5*t - 10 - 10. Let q be (1 - 2)/(2/t). Let p = -1390/13 + 106. Which is greater: q or p? p Let b(v) = -3*v - 130. Suppose -690*t = -689*t + 35. Let q be b(t). Which is smaller: q or -47/2? q Let i = -121.8 + 138. Let k = i + -10.2. Is k at most -1? False Suppose -4*z = -4*k + z + 50, 0 = -4*k + 4*z + 48. Let w = 23 + -17. Suppose 3*m - w = -3*d, -5*m = -7*d + 3*d - k. Is -10/9 >= d? False Let q(v) be the third derivative of -v**6/120 - v**5/10 - v**4/8 + 5*v**3/3 + 5*v**2. Let j be q(-5). Let p = 531 + -38231/72. Are p and j equal? False Suppose 2*q + 39820 + 2632 = -4*o, 3*q + 53063 = -5*o. Let g = 817384/77 + o. Let v = -1/11 + g. Is v > 1? False Let h = -133 - -136. Let g be h/(-117)*-87 - (-3 - -2). Which is smaller: g or 2? 2 Let w = 5.5341 + 0.1359. Let m = w - -0.53. Let h = m + -6.2. Which is smaller: 6 or h? h Suppose -108*o + 297 = -135. Which is smaller: 102/11 or o? o Let j be (-13 - -15)*3/(72/(-5)). Suppose 146*a + 2 = 148*a. Which is smaller: j or a? j Let g = 5 + -3. Let x be 102/51 + (-66)/48. Is g < x? False Suppose 0*f - 4*f = 12, 2*a - 109 = 5*f. Suppose 4*c = -6 + 30. Let g be 30/c - 1 - -44. Is a equal to g? False Let u = -18087869/219 + 82593. Let z = 4 + -6. Let h be (-1 + 2)*(z - -1). Is u less than or equal to h? False Suppose -20*z = -6*z - 56. Suppose -z*u + 34 = 26. Which is smaller: 18/25 or u? 18/25 Let r be (-75)/175*(482124/(-9))/(-4). Let u = -5709 - r. Which is smaller: 31 or u? u Let a = 331/186 + 5/93. Let y be ((-12)/5)/((-9)/(-30)). Let w = 11 + y. Which is bigger: a or w? w Let n be 2/5*((-1507)/(-548) + 27/12). Which is greater: n or 59/65? n Let n(a) = -2*a. Let y(p) = -21*p - 68. Let b be 6/(-15) + (-243)/(-45). Let o(q) = b*n(q) - y(q). Let z be o(-6). Is 24/11 at most z? False Let i be (-57)/(-21) - (-5)/(-70)*-4 - -90. Which is smaller: 375/4 or i? i Let k be ((-22)/(-40) - (-2)/(-8))/(11514/(-8585)). Which is bigger: k or 1? 1 Suppose -2 = -2*z + 6. Suppose 11*t = 9*t + 5*i + 21, -5*t - 30 = 4*i. Which is bigger: t or z? z Let o = -16862 - -16932.67. Let j = o - 70.6. Is j < -14? False Let n = 13244 - 13350. Which is greater: n or 24? 24 Let j = 0.133 - -15.867. Let q = 14 - j. Which is smaller: q or 9? q Let b be (-4)/(-8)*175/(-775). Is b greater than or equal to 0? False Suppose 17*q - 18*q + 3 = 0. Suppose -q*a = 10*a - 156. Which is bigger: 15 or a? 15 Let g = -12.9 + -386.1. Let k = 400.9 + g. Is 0.1 >= k? False Suppose 0 = f - 5*t + 228, 5*f - 4*t + 8*t = -1198. Let h be -1 - (18/(-9) + f/(-240)). Which is bigger: -1 or h? h Let p = 1129 - 1565933/1387. Is p equal to 1? False Let m = 10512503725/369 + -28489207. Let c = -334/9 - m. Which is smaller: 1 or c? c Let v = 6.392 + -6.192. Which is greater: 2/29 or v? v Let s be (-22)/42 + 3 + -2. Let w = -11493 - -11492. Which is smaller: w or s? w Let j = -2041/22 + 1037/11. Is -27/2 <= j? True Suppose 4*a - 28 = -4*z, -2*a - 13 = -4*z - 3*a. Suppose -z*i + 12 = 4. Let v be 217/(-49) + -1 + 8. Which is smaller: i or v? v Let s = 386 - 365. Let l(i) = -i**2 + 24*i - 50. Let g be l(s). Which is bigger: -2/5 or g? g Let d = 33149/4 - 1023375/124. Is d greater than or equal to 33? True Let h(l) = -1093*l + 3542. Let v be h(4). Do -831 and v have different values? True Let o be (67 + -2)*2*1. Suppose -37*s - 186 = -23*s - 2006. Is o at least as big as s? True Suppose 4*i + 5*n = -11, -10*i + 14*i - 1 = -n. Let a be 9/((-648)/(-294)) + (-4)/i. Which is bigger: 1 or a? 1 Let b = -346 - -343.34. Let w = -3.32 - b. Is w greater than or equal to 0? False Suppose -99 = 461*a - 454*a - 344. Which is bigger: a or 171/5? a Let l be 0/((-8)/((-20)/5)). Suppose -7*v + 700 = -l*v. Is v > 100? False Let a be (-2)/(-14)*(909 - (8 - 1)). Let w = a - 82977/644. Let z = w - -331/3404. Is 0 != z? True Let t be 48/80 - 36/110. Let y = -1846 + 1838. Are t and y unequal? True Let c = 12914 + -15656. Is c at most -2743? False Suppose -5*w = c - 6*c, -3 = -2*c - w. Suppose 6*q + 139 = -41. Let l be q/(-208) + (-2)/((-112)/(-21)). Which is smaller: l or c? l Let o be (16/6)/(((-26)/(-39))/(-1)). Let f be (-36)/24 + 614/o. Which is bigger: -154 or f? -154 Let l be ((-5)/((-85)/135354))/3. Is 2654 < l? False Let y = 670801/149 + -4502. Which is greater: y or -1? y Let x(n) = n**3 + 6*n**2 + 6*n + 5. Let v be x(-5). Suppose 3*a + v*d + 4*d = -44, 0 = 4*a - 4*d + 40. Let f = a + -10. Is f greater than -21? False Let s(x) = 5*x - 9. Let u be s(20). Let h be (-16)/u + (-2)/7. Is h <= -4? False Suppose 79*n + 126 = 88*n. Suppose 0 = -3*l - 9, v - 305 + n = -4*l. Is 302 smaller than v? True Let t be ((-3)/12)/(850/3400). Let o = -305/39 - -23/3. Is t less than o? True Let n be 1/((-18)/(-914)) + (-22)/(-99). Suppose 0 = -3*k + n - 48. Is k smaller than -1/30? False Let j(x) = 5*x**2 - 4*x - 2. Let f be j(-2). Let y(h) = -h**3 - h**2 - h + 6. Let k be y(0). Suppose 0*t - 162 = -k*t. Is f at least as big as t? False Let l = -7778 + 8471. Which is bigger: l or 0? l Let d be (636 + -2)*(-31)/310. Which is smaller: -64 or d? -64 Let h be (2 - (-35)/(-20))/(142/16). Let y = 84/2059 + h. Which is bigger: y or -2/25? y Suppose -7 = 4*v + 5. Let i be (-1 + v - -2)/2. Suppose -5*t = 2*y - 1 - 13, 5*y + 5*t - 5 = 0. Which is smaller: i or y? y Let w = -498 + 697. Suppose 41 = -q + 2*h, -4*q - 3*h - w = -13. Let n be ((-4)/10)/(3/q). Is 2 > n? False Let b = -273 - -195. Let f be (-221)/b - 2/(-12). Suppose -5*k - y + 3 = 0, -2*k - 4*y = -6*k + 12. Is f > k? True Let f be 3 + 2835/(-950) + 0. Let n(k) = 14*k + 27. Let y be n(-2). Which is smaller: y or f? y Let s be 2*(-1)/(7/1). Suppose z - 3 + 0 = -x, -x + 4*z - 2 = 0. S
{ "pile_set_name": "DM Mathematics" }
) = 47*b**2 - 34*b + 11. Let w(a) = j*t(a) + 11*n(a). What is the second derivative of w(g) wrt g? -36 Let b(r) = -12*r**3 + 10*r**2 - 3*r + 2. Let c(s) = -12*s**3 + 11*s**2 - 4*s + 3. Let k(j) = 4*b(j) - 3*c(j). Find the third derivative of k(v) wrt v. -72 Let j(d) be the second derivative of -1/3*d**3 + 0*d**5 - 3*d + 0*d**6 + 5/21*d**7 + 0*d**2 + 0*d**4 + 0. Find the second derivative of j(p) wrt p. 200*p**3 Let n(z) = -z**2 + 15*z - 51. Let x be n(6). Find the second derivative of -17*j + 35*j**x - 67*j**3 + 32*j**3 - 35*j**4 wrt j. -420*j**2 Let x(b) be the second derivative of -b**6/5 - 9*b**5/20 + b**3/3 + 26*b**2 + 2*b - 163. Find the second derivative of x(l) wrt l. -72*l**2 - 54*l Let h = 39 + -35. Find the third derivative of 727*b**h - 744*b**4 + 20*b**2 + 4*b - 4*b wrt b. -408*b Let f(y) be the first derivative of -y**5/10 - y**3/2 + 5*y - 6. Let d(r) be the first derivative of f(r). What is the second derivative of d(w) wrt w? -12*w Let c(j) = j - 1. Let s be c(3). Suppose -3*k - 18 = -s*d + 2*k, 2*d + 2*k - 18 = 0. Differentiate 23 - 10 - d*q**4 - 4 with respect to q. -36*q**3 Let j(c) = -c**2 - 5*c + 1. Let l(o) = -8*o**2 + 156*o + 640. Let w(s) = -6*j(s) + l(s). Find the first derivative of w(n) wrt n. -4*n + 186 Find the third derivative of 1669*j**3 + 19*j**2 + 17*j**2 - 1748*j**3 + 4*j wrt j. -474 Find the second derivative of -17*c - 7*c**4 + 70*c**4 + 26*c**4 wrt c. 1068*c**2 Let f(x) be the second derivative of 13*x**2 - 9*x + 16/3*x**3 + 0. Find the first derivative of f(s) wrt s. 32 Let z(b) = 131*b**3 - 9*b**2 + 15. Let s(u) = 65*u**3 - 4*u**2 + 9. Let w(a) = 13*s(a) - 6*z(a). What is the derivative of w(d) wrt d? 177*d**2 + 4*d Let c(i) = 15*i + 4. Let y(l) = 4 + 1 - 3 + 0*l + 8*l. Let k(x) = -3*c(x) + 7*y(x). Find the first derivative of k(d) wrt d. 11 Let d(c) be the first derivative of c**3 + c**2 + 3*c - 403. Let y(f) = f. Let v = 3 - 0. Let b(l) = v*d(l) - 6*y(l). Differentiate b(i) wrt i. 18*i Let k(i) = 5*i**4 + 4*i**3 + 2*i**2 + i - 8. Let g(s) = -2*s**4 - s**3 - s**2 - s. Let j(t) = 2*g(t) + k(t). Find the second derivative of j(b) wrt b. 12*b**2 + 12*b Let j(l) = -23*l**3 - 4*l**2 + 7*l + 1. Let q(v) = 48*v**3 + 7*v**2 - 13*v - 1. Let a(s) = -7*j(s) - 4*q(s). What is the second derivative of a(c) wrt c? -186*c Let a(z) = -11*z**3 - 137*z**2 + 822*z - 4. Let i(b) = 3*b**3 - 2*b**2 - b + 1. Let s(w) = -a(w) - 4*i(w). What is the second derivative of s(p) wrt p? -6*p + 290 What is the third derivative of 13*h**3 + 25*h**4 - 28*h**2 + 12*h**3 - 23*h**4 - h**2 wrt h? 48*h + 150 Let t(y) = -26*y**4 + y**3 - 6*y**2 - y + 422. Let u(r) = r**3 + r**2 - r. Let s(c) = t(c) - u(c). Differentiate s(l) wrt l. -104*l**3 - 14*l Let m(p) be the third derivative of 0*p**3 + 4*p**2 + 0 - 1/15*p**5 - 7/24*p**4 + 0*p. Find the second derivative of m(y) wrt y. -8 Let y(q) = -6*q**6 - 8*q**5 - 8*q**3 - 319*q**2 + 8*q. Let d(n) = -2*n**3 + n**2 + 2*n. Let z(h) = -4*d(h) + y(h). Find the third derivative of z(x) wrt x. -720*x**3 - 480*x**2 Let u(k) be the second derivative of 0*k**3 + 0 + 0*k**5 + 0*k**2 - 1/2*k**4 - 13/30*k**6 - 2*k. Find the third derivative of u(g) wrt g. -312*g Let y(k) = k**2 - 2*k - 5. Let u be y(4). Let f(q) be the first derivative of -q**4 - 2*q**u + 5*q + 2*q**3 + 1 - 3. Differentiate f(h) with respect to h. -12*h**2 What is the second derivative of -296*r + 30*r**2 + 33*r**2 + 145*r**2 wrt r? 416 Let m(g) = -g + 12. Let t be m(0). Suppose -2*j - j + t = 0. Find the second derivative of -5*h**3 + j*h**3 + 5*h**5 + h**3 - 4*h wrt h. 100*h**3 Let i(l) be the third derivative of 19*l**6/15 - 77*l**3/6 - 2*l**2 + 10*l. Differentiate i(h) wrt h. 456*h**2 What is the second derivative of -26*i - 94*i**5 - 107*i**5 - 81*i**5 - 49*i wrt i? -5640*i**3 What is the second derivative of 13*d**2 - 4*d - 31 - 25*d**2 + 12*d**2 + 2*d + 114*d**3 wrt d? 684*d Let b(h) be the third derivative of 11*h**7/70 + h**4/24 - 17*h**3/6 + 100*h**2. What is the first derivative of b(w) wrt w? 132*w**3 + 1 What is the first derivative of -44*a + a - 11 - 139 + 48*a - 87*a wrt a? -82 Find the second derivative of 271*y + 68*y**4 - 387*y**4 + y**4 wrt y. -3816*y**2 Let y = 53 - 47. What is the second derivative of -y*a**3 - a**3 + 0*a + 12*a wrt a? -42*a Let t = 20 - 11. Let i = -43 - -47. What is the first derivative of t*y**3 + 5 - 13*y**i - 9*y**3 + 5 wrt y? -52*y**3 Let w(x) be the first derivative of 77*x**6/3 - 2*x**3/3 + 47*x + 118. What is the third derivative of w(h) wrt h? 9240*h**2 Let t(i) = i**3 + 13*i**2 - i - 9. Let g be t(-13). Find the second derivative of 14*b - 4*b + 11*b - 22*b**g wrt b. -264*b**2 Suppose 0 = 4*k - 3 + 15. Let x be k/5 + 46/10. What is the second derivative of 20*z - 6*z + 8*z**4 - 4*z**4 - 5*z**x wrt z? -12*z**2 Let z(k) = -2*k + 23. Let m be z(-9). Find the third derivative of -m*w**2 - 2133*w + 2133*w - 37*w**4 wrt w. -888*w Suppose 5*w - 54 = -19. What is the third derivative of -10*u**2 - 34*u**5 - 2*u**6 + 34*u**5 - w*u**2 wrt u? -240*u**3 Let p(f) = 2*f**2 - 5*f + 3. Let j be p(3). Suppose -96*s = -97*s. What is the derivative of v**2 + 0*v**2 - j*v**2 + s - 6 wrt v? -10*v Suppose -56 = -b - 56. Let y(h) be the first derivative of 0*h**5 + 3 + b*h**2 + 4/3*h**3 - 1/2*h**6 + 0*h**4 + 0*h. Find the third derivative of y(s) wrt s. -180*s**2 Let z(y) be the second derivative of 0 - 10/3*y**4 + 16*y - 6/5*y**5 + 0*y**3 + 0*y**2. What is the third derivative of z(f) wrt f? -144 Find the first derivative of -11*t**4 - 14*t**4 + 23*t**4 - 118*t + 35 + 15*t + 117 wrt t. -8*t**3 - 103 What is the third derivative of 297*b**2 + 23*b**2 + 4*b**4 + 74*b**2 + 14*b**5 wrt b? 840*b**2 + 96*b Let x(d) be the first derivative of -5*d**6/6 - 33*d**2/2 + 3*d - 668. Find the second derivative of x(u) wrt u. -100*u**3 Suppose -3*i + 9*i = 18. Differentiate 165 - 149 + 10*m**3 + m**i with respect to m. 33*m**2 Suppose 63 = 2*k + 7*k. What is the third derivative of -k*t**2 + 0*t**2 + 2*t**4 - 13*t**4 - 6*t**4 wrt t? -408*t Let r(a) = 1417*a**3 - a**2 - 1586*a - 7. Let h(x) = 472*x**3 - 529*x - 2. Let p(k) = 7*h(k) - 2*r(k). Find the third derivative of p(m) wrt m. 2820 Let j(n) = -107*n + 56. Let b(a) = 53*a - 28. Let f(p) = 21*b(p) + 9*j(p). Differentiate f(g) wrt g. 150 Let n(k) be the first derivative of -1 + 2*k + 19/3*k**3 + 3*k**2. What is the second derivative of n(h) wrt h? 38 Let i(v) be the first derivative of -26 + 0*v**5 + 8/7*v**7 + 0*v**4 + 0*v**6 + 0*v**2 - 13/3*v**3 + 0*v. What is the third derivative of i(r) wrt r? 960*r**3 Suppose -2*q = m - 2, 6*m - m = 4*q + 38. What is the second derivative of -4*s**4 + 7*s**4 + m*s - 10*s**4 - 3*s**4 wrt s? -120*s**2 Let t(c) = 4*c**4 + 11*c**3 - 3*c**2 - 106. Let r(f) = -f**3 - f**2 + 1. Let z(m) = 3*r(m) - t(m). Differentiate z(l) wrt l. -16*l**3 - 42*l**2 Let v(w) be the third derivative of -34*w**6/15 - 46*w**5/3 - 3*w**2 + 183*w. What is the third derivative of v(q) wrt q? -1632 Let q(c) be the first derivative of 0*c + 0*c**3 - 7/2*c**2 - 1 + 7/2*c**4. What is the second derivative of q(p) wrt p? 84*p Let h(p) be the second derivative of -79*p**3/6 - 38*p**2 + 75*p - 1. What is the first derivative of h(l) wrt l? -79 Let f(l) = 101*l**2 - 5*l - 141. Let x(a) = -a**2 - a - 6. Let p(i) = f(i) - 4*x(i). Find the second derivative of p(d) wrt d. 210 Suppose 3*p - 13 = -1. Let q be 5/((-35)/(-12)) + (-2)/(-7). Find the third derivative of p*r**5 + 3*r**5 - r**2 - 6*r**2 - r**q wrt r. 420*r**2 What is the second derivative of 21*m + 4 - 99*m + 753*m**2 + 322*m - 4 wrt m? 1506 Let a(r) be the third derivative of -7/3*r**3 + 0 + 0*r + 3/8*r**4 - 15*r**2. What is the first derivative of a(m) wrt m? 9 Let l(k) = -k**4 + k**3 - k. Let r(j) = -3*j**4 + 5*j**3 - 4*j + 16. Let c(b) = -5*l(b) + r(b). Differentiate c(w) with respect to w. 8*w**3 + 1 Let i(g) be the third derivative of 1/6*g**5 - 4*g**2 + 0 + 0*g**4 - 7/6*g**3 + 0*g. What is the first derivative of i(v) wrt v? 20*v Find the third derivative of 43*d**5 + 24*d**2 + 11*d + 3*d**3 - 14*d - 11*d**5 wrt d. 1920*d**2 + 18 Let y(u) be the first derivative of -353*u**3/3 + 212*u**2 + 206. What is the second derivative of y(p) wrt p? -706 Let v(n) = -607*n**2 + 229*n + 21. Let r(g) = -607*g**2 + 229*g + 18. Le
{ "pile_set_name": "DM Mathematics" }
h - 40 - 20 = 0. Let d be q(h). Let k be ((-6)/14)/(6/(-4)). Which is smaller: k or d? k Let y(v) = -v**3 - 12*v**2 - 21*v + 8. Let s be y(-10). Suppose -16*n + 6 = -s*n. Which is greater: -6 or n? n Let q be (-2304)/9*(-4)/(-6). Let g = -9692/57 - q. Which is bigger: g or 1? 1 Let j = -7.91 - -8. Let a = j + -4.09. Let n = a + 3. Is n bigger than -1? False Let y = 4622/3 + -1516. Is 26 at most y? False Let m = 59 - 197. Let i = 137.9 + m. Which is smaller: i or 48? i Let d(x) be the first derivative of -x**4 + 4*x**3/3 - x**2 - x - 8. Let n be d(2). Which is greater: -19 or n? -19 Suppose -206*x + 955 = -201*x. Which is smaller: x or 194? x Let u = 913/5 + -108622/595. Is 0 at most u? True Suppose 5*n + 960 - 3758 = -3*x, -x = 3*n - 1682. Is 562 > n? False Let p be -1 - -5 - (-560)/(-136). Suppose -3*x - 29 = -2*o, o - 22 = -0*o + 4*x. Let k = o + -9. Is k < p? False Let u be (0 - 21)/(16/(-12)). Suppose -11*v + 7*v = 64. Let g = u + v. Which is smaller: g or 0? g Let s(d) = -d**2 + d + 70. Let u be s(16). Do -176 and u have different values? True Let p = -0.00031 + 445.90031. Let u = p - 408. Let m = u + -36. Is 1 at least m? False Suppose 0 = 27*c + 23*c - 150. Is 32/5 <= c? False Let p(t) = -t**2 + 5*t - 2. Let q be p(7). Let k = 163 + -178. Which is greater: q or k? k Suppose -j + 8 = 3*h, -10*h + 10 = -4*j - 8*h. Is -11/10 less than or equal to j? True Suppose 5*q + 2*b + 80 = 0, 3*q + b + 56 = 7. Let a = -10 + -7. Which is greater: a or q? a Let s = -0.05 - -0.05. Let f = -8 - s. Let y = 7.7 + f. Does 0 = y? False Suppose -50 = -2*n + 5*d, 6*d = 3*n + 2*d - 89. Let j be (-963)/n - 2/10. Let y = -28 - j. Which is bigger: y or 8? 8 Let k be ((-18)/21)/(-3) + 912/(-546). Let d = 111 - 113. Which is smaller: k or d? d Let w = -1269.84 - -1270. Is -0.15 less than or equal to w? True Let p(w) = w**3 + 5*w**2 + 39*w + 136. Let n be p(-5). Is n > -54? False Let o = 1636 - 8183/5. Does o = -19/4? False Let o = -610 - -840. Is o not equal to 230? False Let i = -13 + 12. Let b be (4 - (-49)/(-17)) + i. Are b and 1 nonequal? True Let v = -69 - -70. Suppose -n - 3*c = 62, -5*n + 5*c = -11 + 421. Let w be n/(-25) - 3 - 0. Is w not equal to v? True Suppose -a - 4*b - 10 - 34 = 0, -239 = 5*a + b. Let g = a - -246/5. Which is smaller: g or 2? g Let s = -732 + 733. Let g = -1/15 - -11/15. Which is smaller: g or s? g Suppose 4*g - 2*c - 5 = 179, g + 5*c - 68 = 0. Suppose 0 = 8*n - 4*n - g. Let t = -16 + n. Is -4 not equal to t? False Suppose q = -5*a - 975, -2*a - 2*q + 4*q = 390. Let k be (-5)/(-8) - (a/20)/(-13). Suppose 4 = 2*n + 6. Is n greater than k? False Let z be (-30)/35 + (7 - 1). Which is smaller: z or 6? z Let s(k) = 119*k - 832. Let l be s(7). Are -13/88 and l unequal? True Let q(r) = 4*r + 6. Let j be q(5). Let y be (0/(-1))/(((-14)/(-56))/((-2)/8)). Which is bigger: y or j? j Let o(l) = 52*l - 487. Let h be o(7). Are -123 and h nonequal? False Suppose 2*c = -33 - 1. Let q(d) = -d. Let b(y) = -5*y - 18. Let f(n) = -b(n) + 4*q(n). Let g be f(c). Which is bigger: g or 0? g Let d = -5/3 + 11/4. Which is smaller: d or 0? 0 Suppose -5*v = -2*j + 44, j - v - 4 = -3*v. Let x = -9 + 4. Let b(c) = -c**3 - 4*c**2 + 4*c + 6. Let r be b(x). Is j > r? True Suppose 0 = 2*y + y. Let n be 2 + -2 + 1036/(-4824). Let s = -1/134 + n. Are y and s nonequal? True Suppose -s + 4*s + 4*k = -8, -2 = 2*s + 2*k. Let b(j) = 5*j - 15. Let m be b(s). Suppose -4 = 5*t + 6, 4*t + 2 = -v. Which is smaller: v or m? m Suppose -q - 3*x - 2 = 0, 23 = -5*x + 3. Let o be 6/q - ((-92)/(-5))/4. Which is smaller: -13 or o? -13 Let f(x) = x**2 - 4*x + 2. Let j = -55 - -59. Let q be f(j). Are 4 and q nonequal? True Let a = 11.394 - 0.394. Which is smaller: -0.3 or a? -0.3 Let s = 531 - 536. Is -6 smaller than s? True Suppose -494*s + 138 = -500*s. Is s <= -70/3? False Let d(g) = -g**2 + 4. Let q be d(0). Suppose 1 = -q*x + 5*j, 5*j - 2 = 3*x - 0. Let t = -124/3 + 42. Which is smaller: x or t? t Let r = -36.16 + 36. Let f = -7 + 7.26. Let i = r + f. Which is smaller: 2/25 or i? 2/25 Let j = -401887/166 + 2421. Is 1 >= j? True Suppose 182 - 17 = -3*i. Let h = -170 - -115. Is i at least as big as h? True Let z = 1.5 - 1. Let n = -0.622 - -0.022. Let w = z + n. Which is smaller: w or -3/8? -3/8 Let z = -227 - -245. Which is greater: z or 10? z Let h = 27 - 5. Let y = h + -40. Let q = y + 18. Which is smaller: q or 2? q Let l = -20269/7 - -2905. Which is bigger: 8 or l? l Let k be (-4)/(-12) + 112/(-48). Which is smaller: k or -61? -61 Let w = 4 + -3. Suppose -9 = d + 2*d, 2*a - 1 = -d. Let n be (-45)/(-18)*a/4. Is w less than or equal to n? True Let j = -34 + 40. Let w be -1 + (-10)/(4 - j). Suppose -5*a = -w*d - 4, -a - 1 = 5*d + 4. Does a = -3/19? False Suppose -3*d = 16*d. Is d not equal to 5/13? True Suppose -5*p - 3*t + 8 = 0, -p = 2*t - 4 + 1. Let m = -11/56 + 15/14. Is p smaller than m? False Let l = -13 + 7. Let b = 0.0899 + -6.0999. Let w = l - b. Are w and -1 nonequal? True Let w be 138/(-12) + 12 - (-90)/(-176). Is 1 < w? False Let k be (-12)/(-6) - 147/(-3). Let a = k - 63. Is a less than -12? False Let u(o) = 2*o + 19. Let q = 35 - 45. Let m be u(q). Let p be -6 + (17 + m)/4. Which is greater: -3 or p? p Let v = 6.9 + -7. Let i = -22 + 46. Let f = 30 - i. Is v greater than f? False Suppose -q + 2 = 2*y - 9, -4*y - 4*q = -32. Let s be 1*(y + -2) + 19. Suppose 5*z + s + 45 = 0. Is -12 at most as big as z? False Let t = 1.7086 + 0.2914. Is -281 <= t? True Let c = -15.36 + 1.36. Which is smaller: c or -27? -27 Suppose 0 = 5*w, 3*b = 6*w - w. Which is smaller: 4/41 or b? b Let h be (2/(-231))/((-5)/90). Let t = 74/1463 - h. Let m = t - -73/152. Which is smaller: -1 or m? -1 Let g = -429.2 + 397. Let c = 32 + g. Which is greater: c or 2? 2 Let d = -19 - -24. Suppose d*q - 3*u - 20 - 2 = 0, -10 = q + 3*u. Let c be 3/15 + 74/30. Which is smaller: q or c? q Suppose -39 = -3*f - 4*h, -5*h + 6*h = 3*f - 24. Suppose 3*m = 4*z + f + 8, -z - 2 = 0. Let p be (-2 + -1)/((-3)/2). Is m greater than p? True Let h = -18 - -32. Suppose 0 = 5*j - 10, 6*k - 2*k - 3*j + 82 = 0. Let o = k + 33. Is o < h? False Let v = 860 - 3415/4. Which is smaller: v or 7? v Suppose 5*h - 18 = 2. Let y = 16 + -30. Let m = y - -15. Is h greater than or equal to m? True Let b = 6 + -6. Suppose 3*y + 9 = b, 5*y - 210 = -3*a + 3*y. Let h = 218/3 - a. Which is smaller: -16 or h? -16 Let b = -2.96 - -1.96. Is b less than 318? True Let w(z) = 9*z**2 + 6*z - 8. Let o be w(2). Let n = o + -41. Do -3/4 and n have the same value? False Let x be (-18)/4 + (-3)/(-6) + 515. Is x less than or equal to -1? False Let i = -42 - 196. Is -239 at least as big as i? False Let m(g) = -g**3 + 6*g**2 - 9*g + 4. Let a(b) = -b**2 + b - 1. Let d(q) = 3*a(q) - m(q). Let v be d(8). Let f = v - 126/5. Which is smaller: 1 or f? f Let v(g) = -g. Let y(a) = -3*a - 5. Let t(n) = -4*v(n) + y(n). Let d be t(12). Suppose 5*h - 2*x - 3 = 0, 5*h - 3 = -5*x + d. Which is smaller: 10 or h? h Let t = 519.1 - 519. Are t and -102 nonequal? True Let g = 2859/4 + -20437/28. Which is bigger: -14 or g? -14 Let v be (0 + (-16)/12)*(-147)/35. Which is bigger: v or 7? 7 Let f = -5 + 0. Let a(k) = -k**2 + 6*k - 6. Let u be a(4). Suppose 0 = n - u + 6. Which is bigger: n or f? n Suppose 0 = 8*x - 6*x - 2*r + 110, 0 = -x - 3*r - 59. Is x greater than -58? True Let z(x) = -2*x**3 - 3*x**2 + 2*x + 4. Let g be z(-2). Suppose 3*n = 3*f - 21, 3*f - g*n - 16 = -2*n. Which is greater: 5/4 or f? f Let u be ((-670)/60)/((-2)/(-6)). Let g be (-268)/8 + (-6)/12. Is u smaller than g? False Let r = -64 - -40. Suppose 5*v - 3*g = 164, -3*v + 64 = 4*g - 17. Let u = v + r. Which is bigger: u or 6? u Let l = -4051/22313 - 3/421. Is -1 < l? True Let q be 9/(-11) + (-26)/143. Which is bigger: q or -86? q Let l = 150 + -152. Let s be l/(-3)*15/(-815). Which is bigger: s or 0? 0 Let q be 12/8*(790/(-6) + 3). Which is smaller: q or -196? -196 Let q(h) = 4*h + 15. Let l be q(8). Suppose 5*j + l = 2. Suppose 2*z = -0*z - 18. Is j greater than z? False Let t = -515 + 566. Is 56 smaller than t? False Let g = 56 - 49. Let s(t) = -2*t**2 + 10*t - 6. Let w be s(g). Is -1/3 != w? True Let j be 123 - (-3)/(-2)*2. Which is bigger: 119 or j? j Let o = -0.788 + -4.402. Let d = 5.2 + o. Which is big
{ "pile_set_name": "DM Mathematics" }
. What is v rounded to two dps? -0.08 Let b = 0.04696 - 26.06596. Round b to the nearest integer. -26 Let p be 30436/(8/(-44) - 124/(-440)). What is p rounded to the nearest 1000? 304000 Let z = -32655.9977037 - -32656. Round z to five dps. 0.0023 Let h = -2008 - -2013.4. Let u = 197.8 + -217. Let n = h + u. Round n to zero decimal places. -14 Let i = -971.1274307 - -85.1254537. Let f = 886 + i. Round f to 4 decimal places. -0.002 Let q = -8333040 + 8333610.0267. Let u = 570 - q. What is u rounded to three decimal places? -0.027 Suppose 6985677735 = 8*o - 814135041. Suppose 15*b + o = -237023403. Round b to the nearest 1000000. -81000000 Let c = -448 - -470.8. Let b = 20.018 - c. What is b rounded to 1 dp? -2.8 Let v = 317429280.85000069 + -317429412.85. Let k = v - -132. What is k rounded to 6 dps? 0.000001 Let r = 266 + 140. Let u = r - 406.000326. Round u to 4 decimal places. -0.0003 Let s = -146.882 + 148.8. Let r = s - 1.919117. What is r rounded to four dps? -0.0011 Let w = -10109 - -10108.99994781. Round w to five dps. -0.00005 Let l(s) = 2*s - 36. Let x be l(19). Suppose 0 = -p + x*h + 20, -6*p - 4*h = -5*p + 4. Round p to zero dps. 12 Let l be ((-65155)/2 - -1)/(8/(-16)). Let g = l - 108653. Round g to the nearest 10000. -40000 Let t = 11 + -8. Suppose -t*b + 2 = -4. Suppose -b*s = 5 - 7. What is s rounded to the nearest integer? 1 Let c = -20.32 + 20.753. Round c to two dps. 0.43 Let z = 441 - 436.055. Let h = z - 4.935993. Let f = 0.009 - h. Round f to 6 dps. -0.000007 Suppose 15*x + 30494303619 = 44*x. Suppose -x + 149227711 = -7*c. What is c rounded to the nearest one million? 129000000 Let p = -33039.75672 + 33040. What is p rounded to 1 decimal place? 0.2 Let v = -415.9 - -128.2. Let n = 138 - -109. Let j = n + v. What is j rounded to the nearest integer? -41 Suppose -2*y + 198378352 = 27149454. Let l = y + -20214449. What is l rounded to the nearest one million? 65000000 Let b = 281.367 - 281. Let t = 2.145 + -2. Let z = t - b. What is z rounded to 2 decimal places? -0.22 Let x = 4904.89958089 + -4904.9. Round x to 6 decimal places. -0.000419 Let z = 0.1513 - 0.1516275. Round z to four decimal places. -0.0003 Let i be (-500)/8*(-288)/10. Let w be ((-102)/15)/((-6)/i). Round w to the nearest one thousand. 2000 Let l = 9.388483 + -11.3463745. Let j = -2.58789232 - l. Let b = j + 0.63. What is b rounded to 7 decimal places? -0.0000008 Let a be (-10 - -3 - -18) + -1900. What is a rounded to the nearest 100? -1900 Suppose 0 = 96*a - 95*a - 15500. Let y be a*(-4)/(-8)*-1. What is y rounded to the nearest one hundred? -7800 Suppose -2*m - 2*c - 298 = 330, 5*m = c - 1558. Let t = m - -6242. What is t rounded to the nearest one thousand? 6000 Let d = 1221 - 1112.8. Let j = d - 108.19992724. What is j rounded to 5 dps? 0.00007 Let z(h) be the first derivative of 8965*h**2/2 - 25*h - 2. Let n be z(1). What is n rounded to the nearest one thousand? 9000 Let x = -96990 + 96601.69. What is x rounded to the nearest 10? -390 Let v = -87.741 + 106.1. What is v rounded to one decimal place? 18.4 Let s = -9688.3 + 10464. What is s rounded to the nearest one hundred? 800 Let t = 9585.000040222 - 9585. Round t to 7 decimal places. 0.0000402 Let w = 28 + -27.68. Let m = 0.76 - w. Let z = m + -3.64. What is z rounded to zero decimal places? -3 Suppose 8*x = -7*x + 267450. Let q = x - 12670. What is q rounded to the nearest ten thousand? 10000 Let s = 32.108696545 - 0.108720945. Let v = 15397 + -15365. Let r = v - s. Round r to 6 decimal places. 0.000024 Let s(f) = -4750*f**2. Suppose -4*o + 116 = -4*h, 4*o + 0*h + 5*h = 98. Let v = 23 - o. Let d be s(v). Round d to the nearest 10000. -80000 Suppose 2*i + 10 = 0, 5*x = -11*i + 14*i - 95767055. Let s = x - 22546586. Round s to the nearest one million. -42000000 Let s = 22.9739999166 - 22.974. What is s rounded to seven dps? -0.0000001 Let g = -14056.000096262 - -14056. Round g to 6 dps. -0.000096 Let f = -44 - -43.388. Let v = -6.718 + f. What is v rounded to the nearest integer? -7 Let q = 5.125 - -0.245. Round q to zero decimal places. 5 Suppose -2*t = -5*x - 53028, 8*x + 4*t = 11*x + 31828. Let q be -2 - (28/7 - x). Round q to the nearest one thousand. -11000 Let i = 884 - 1087. Let v = -167.3363381 - 35.6637889. Let h = i - v. Round h to five decimal places. 0.00013 Let j = 133146848 + -133146824.90000925. Let p = j + -23.1. What is p rounded to six dps? -0.000009 Let v = -221767.978 + 221572. Let c = v + 196. Round c to 2 decimal places. 0.02 Let o = 721985 + -753206.9. Let d = -31664.8809 - o. Let f = -443 - d. What is f rounded to 3 decimal places? -0.019 Let r be (-239430)/(2 - -1)*2/(-5). Let k = 13404 - r. Round k to the nearest one thousand. -19000 Let x = 78240.0364 - 78185. Let m = x - 55. What is m rounded to two dps? 0.04 Suppose 69*o = -94*o + 28*o + 3613140000. What is o rounded to the nearest 100000? 26800000 Let u = -6930.2939564 + 4601.29393681. Let g = 2329 + u. What is g rounded to 6 decimal places? -0.00002 Let t = 1563.999555 + -1564. What is t rounded to 5 dps? -0.00045 Let z be ((-357)/(-12))/(-2 - (-164)/80). Let i = -397 + z. Round i to the nearest ten. 200 Let v be 1176000049/(-42) + (-1)/(-6). Let u be 0 - -2 - (-2 + v). Suppose 4*y - 6*x + u = -x, y = x - 7000001. Round y to the nearest one million. -7000000 Let n = -0.16359071 - 2.58638269. Let b = 2.75 + n. What is b rounded to five decimal places? 0.00003 Let v = -10767.0026946 - -10767. Round v to four dps. -0.0027 Let z = -851 - -850.95928. Round z to 3 decimal places. -0.041 Let m = -7.587 - -3.283. What is m rounded to 1 dp? -4.3 Let n = 7.925 + -7.918012. What is n rounded to four dps? 0.007 Let x = -1.92 + -1122.08. Let p = x - -1119.33. Let j = -0.03 + p. Round j to 0 decimal places. -5 Let j = -16.41 - -16.4099098. What is j rounded to four dps? -0.0001 Let v = 138425 + -86841. Let f = 51612.9956 - v. Let i = -29 + f. What is i rounded to 3 dps? -0.004 Let n = 45.21 - -0.79. Let w = 20111 + -20157.0002. Let s = w + n. What is s rounded to 2 dps? 0 Let u = -3171.2 - -3171.138283. Let a = u - -0.0612. Round a to five decimal places. -0.00052 Let c be (2969970/(-9))/(2/(-6)). Suppose -x - 2*q = -13, -4*q + 4 = -12. Suppose 0 = -3*g + 2*g - x*z - c, 3*g + 2970010 = 5*z. Round g to the nearest 100000. -1000000 Let z = -724 - -1048. Let t = 502 - z. Let w = 178.103 - t. What is w rounded to 2 dps? 0.1 Let g = 3531.2 - 2991. Let o = g - 494. What is o rounded to zero decimal places? 46 Let g = -2109.000008934 + 2109. What is g rounded to 7 dps? -0.0000089 Let h = 0.044 + -0.085. Let j = -0.04073 - h. What is j rounded to 4 decimal places? 0.0003 Suppose 205 - 217 = -3*z. Suppose -4*i + 0*s - 475 = 5*s, -3*i = -z*s + 333. Round i to the nearest ten. -120 Let x = -108794 - -172692. Round x to the nearest ten thousand. 60000 Let g = 0.14555 + 0.46175. Round g to one dp. 0.6 Let z = 7.95 - -43.57. Let d = 51.5197439 - z. What is d rounded to five dps? -0.00026 Let g = -4007 - -4028.11. What is g rounded to the nearest integer? 21 Suppose 80*u - 78*u + 72 = 0. Let o(f) = 186*f**3 - 5*f**2 + 153*f + 4. Let y be o(u). What is y rounded to the nearest one hundred thousand? -8700000 Let v = 61 + -137. Let j = -75.9999941 - v. Round j to six decimal places. 0.000006 Let a = -64096160 - -64096096.0693519. Let d = a - 31.06935342. Let n = 95 + d. What is n rounded to 7 dps? -0.0000015 Suppose -t + 3*m + 16504 = 0, t - 33008 = -t + 3*m. Let y be 1 + t*123 - -7. Round y to the nearest 100000. 2000000 Let m = -116724 + 116705.1876. Let b = m - -18.8. Round b to 3 dps. -0.012 Let l = -11.6943 - 0.6187. What is l rounded to 0 dps? -12 Let o(c) = 34178*c + 3. Let g be o(3). Suppose -2*t = 6, -4*p = -4*t - g - 32455. Let b = 88745 - p. Round b to the nearest 10000. 60000 Let t = 2 - 10.3. Let c = -0.119 - -10.319. Let l = c - t. Round l to 0 dps. 19 Let a = 3887668 + 2648332. What is a rounded to the nearest 100000? 6500000 Let m = 274.14 + -4.14. Let j = m + -265.31. What is j rounded to 1 dp? 4.7 Let q(l) = -11317*l**3 + 20*l**2 - 20*l + 84. Let d be q(8). What is d rounded to the nearest 1000000? -6000000 Let m be -4 - ((-441)/7 - 4). Suppose -78300 = -m*v + 60*v. Round v to the nearest one thousand. 26000 Let n = -25.555956035
{ "pile_set_name": "DM Mathematics" }
. 50 What is the highest common factor of 1924216 and 140? 28 Calculate the highest common factor of 2114942 and 13. 1 Calculate the greatest common divisor of 316722 and 195. 3 What is the highest common factor of 5444010 and 27621? 891 What is the greatest common divisor of 4434 and 81051303? 2217 What is the highest common divisor of 261681381 and 27? 27 What is the highest common divisor of 16186632 and 16492? 532 What is the highest common factor of 4189278 and 1414? 202 What is the highest common factor of 1920408 and 696? 24 What is the greatest common divisor of 14181734 and 112? 14 Calculate the greatest common divisor of 407411496 and 32. 8 What is the greatest common divisor of 86026684 and 179? 179 Calculate the greatest common factor of 14 and 127959020. 14 What is the highest common factor of 42 and 784608? 6 What is the greatest common factor of 11396 and 907536? 1036 What is the greatest common factor of 231244 and 10127? 13 What is the highest common factor of 257188 and 38420? 452 What is the highest common factor of 344752 and 133632? 464 Calculate the highest common divisor of 23643 and 643689. 333 What is the highest common divisor of 5148 and 72418788? 468 What is the greatest common divisor of 59712 and 86784? 192 What is the greatest common divisor of 63994784 and 80? 16 Calculate the highest common factor of 14993 and 4012063. 319 Calculate the highest common divisor of 57821 and 4453080. 863 Calculate the greatest common factor of 864 and 131662. 2 What is the greatest common divisor of 15 and 425995? 5 What is the greatest common divisor of 176 and 873993472? 176 Calculate the greatest common divisor of 6768 and 16295088. 2256 What is the highest common divisor of 2302769769 and 4467? 4467 Calculate the highest common factor of 1173800 and 620800. 200 What is the highest common divisor of 240 and 176569040? 80 Calculate the greatest common divisor of 1779254 and 1598. 34 What is the greatest common factor of 4756320 and 180? 180 Calculate the highest common factor of 3465 and 555088380. 1155 Calculate the greatest common divisor of 19579867 and 38529. 1427 What is the greatest common factor of 5756413 and 39? 13 What is the highest common factor of 5873432 and 4522? 646 Calculate the greatest common factor of 18806116 and 84. 28 What is the highest common factor of 117408 and 143984? 16 What is the greatest common factor of 125902 and 16238? 46 Calculate the greatest common divisor of 322 and 21030303. 161 Calculate the greatest common divisor of 3016 and 44942924. 1508 Calculate the highest common factor of 30 and 90460683. 3 Calculate the highest common divisor of 17 and 179303794. 17 What is the highest common factor of 1532508 and 432? 12 What is the greatest common factor of 5057775 and 114075? 675 Calculate the greatest common factor of 18729 and 562538001. 6243 What is the greatest common divisor of 380 and 16754390? 190 What is the greatest common divisor of 308468860 and 14131? 1087 What is the greatest common divisor of 372 and 29582122? 62 Calculate the highest common divisor of 25112 and 43860. 172 What is the greatest common factor of 215005 and 89670? 35 Calculate the highest common factor of 722249799 and 141. 141 Calculate the highest common factor of 630 and 2359448. 14 What is the highest common divisor of 430 and 21854310? 10 Calculate the greatest common factor of 396 and 1832436. 36 What is the highest common divisor of 391025 and 13875? 25 What is the highest common divisor of 53603969 and 1658? 829 What is the highest common divisor of 5951 and 4664? 11 Calculate the highest common divisor of 28702 and 206338. 226 What is the highest common factor of 14454 and 2111598? 1314 Calculate the highest common factor of 390 and 314025. 15 What is the greatest common factor of 52801525 and 21700? 5425 What is the greatest common factor of 11641552 and 1843? 97 What is the greatest common divisor of 34 and 293534? 2 What is the greatest common factor of 967457 and 1161? 43 What is the highest common divisor of 15985095 and 840? 105 What is the highest common divisor of 1130622438 and 11? 11 What is the highest common divisor of 30784912 and 58833? 2179 What is the highest common divisor of 1159407 and 279? 9 Calculate the greatest common divisor of 2990 and 11462970. 230 Calculate the highest common divisor of 53175 and 17753360. 3545 Calculate the highest common divisor of 7490160 and 90. 90 What is the greatest common factor of 36806 and 100684486? 3346 Calculate the highest common factor of 3920088 and 5568. 24 Calculate the highest common divisor of 1030062 and 11121. 33 Calculate the greatest common divisor of 69 and 353790347. 23 Calculate the highest common divisor of 1389 and 843231. 3 What is the highest common factor of 704328 and 29088? 24 What is the highest common factor of 1126460 and 1661? 151 What is the highest common divisor of 9730 and 1988395? 695 Calculate the highest common divisor of 7024 and 27024. 16 What is the highest common factor of 63 and 1205008? 7 What is the highest common factor of 831 and 927119? 277 What is the highest common factor of 87020304 and 38304? 6384 Calculate the highest common factor of 361325 and 142105. 485 Calculate the greatest common factor of 3792515 and 260. 5 Calculate the highest common divisor of 317438 and 172678. 1034 What is the greatest common divisor of 6870 and 50386870? 2290 Calculate the highest common factor of 173028119 and 15906. 2651 What is the greatest common divisor of 2480656 and 454? 454 Calculate the highest common divisor of 286296 and 95734. 302 What is the highest common factor of 1135872099 and 9? 9 Calculate the greatest common factor of 2389470 and 4485. 345 What is the highest common factor of 518912049 and 327? 327 Calculate the highest common factor of 35661024 and 20482. 1862 What is the greatest common divisor of 17906834 and 322? 46 What is the greatest common divisor of 2025774 and 882? 18 Calculate the greatest common factor of 816816 and 205392. 528 Calculate the greatest common divisor of 116623 and 3484. 13 What is the greatest common factor of 7926025 and 1724466? 2963 What is the highest common divisor of 20180934 and 432? 54 Calculate the highest common factor of 138 and 2605808. 46 What is the greatest common divisor of 945511 and 73? 1 Calculate the highest common factor of 6552 and 1552005. 819 Calculate the highest common factor of 4637 and 731250263. 4637 Calculate the greatest common divisor of 262 and 416117963. 131 What is the highest common factor of 2934594 and 35568? 234 Calculate the greatest common divisor of 192347064 and 434. 434 Calculate the highest common divisor of 67485 and 8855. 55 Calculate the highest common divisor of 43793505 and 2240. 35 What is the highest common divisor of 442 and 17113356? 442 What is the greatest common divisor of 498150 and 824661? 81 Calculate the highest common factor of 811 and 3304. 1 What is the greatest common divisor of 24111 and 5060631? 2679 Calculate the greatest common divisor of 73049 and 30895430. 4297 What is the highest common divisor of 365424550 and 100? 50 What is the greatest common factor of 22453857 and 74? 37 What is the highest common factor of 2365 and 8342455? 55 What is the highest common divisor of 375316 and 1332796? 404 Calculate the highest common factor of 4615257230 and 10. 10 Calculate the highest common divisor of 28316 and 788. 4 What is the highest common factor of 19582605 and 3528? 441 What is the highest common divisor of 13341042 and 10224? 1278 Calculate the highest common divisor of 249717 and 92625. 741 Calculate the highest common divisor of 230184 and 634248. 1656 What is the greatest common factor of 34580 and 236881645? 8645 Calculate the greatest common factor of 492011 and 6617. 13 Calculate the highest common divisor of 4732983 and 261. 9 Calculate the greatest common divisor of 7262655 and 8075. 1615 What is the greatest common divisor of 18876 and 21351? 33 What is the highest common factor of 11835 and 241758279? 2367 Calculate the greatest common divisor of 298703181 and 2674. 1337 Calculate the greatest common divisor of 104 and 3234036. 52 Calculate the greatest common factor of 1277684 and 30972. 356 W
{ "pile_set_name": "DM Mathematics" }